Previous Year Questions
24 papers · 1704 questions — organised by subject with solutions and explanations.
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8 Apr 2023 Shift 2
90 Questions · 360 Marks · 180 Min
10 Apr 2023 Shift 1
90 Questions · 360 Marks · 180 Min
1 Feb 2023 Shift 1
90 Questions · 360 Marks · 180 Min
29 Jan 2023 Shift 1
90 Questions · 360 Marks · 180 Min
24 Jan 2023 Shift 2
90 Questions · 360 Marks · 180 Min
25 Jan 2023 Shift 1
90 Questions · 360 Marks · 180 Min
1 Feb 2023 Shift 2
90 Questions · 360 Marks · 180 Min
13 Apr 2023 Shift 2
90 Questions · 360 Marks · 180 Min
12 Apr 2023 Shift 1
90 Questions · 360 Marks · 180 Min
11 Apr 2023 Shift 2
90 Questions · 360 Marks · 180 Min
31 Jan 2023 Shift 2
90 Questions · 360 Marks · 180 Min
6 Apr 2023 Shift 2
90 Questions · 360 Marks · 180 Min
29 Jan 2023 Shift 2
90 Questions · 360 Marks · 180 Min
13 Apr 2023 Shift 1
90 Questions · 360 Marks · 180 Min
8 Apr 2023 Shift 1
90 Questions · 360 Marks · 180 Min
25 Jan 2023 Shift 2
90 Questions · 360 Marks · 180 Min
31 Jan 2023 Shift 1
90 Questions · 360 Marks · 180 Min
10 Apr 2023 Shift 2
90 Questions · 360 Marks · 180 Min
11 Apr 2023 Shift 1
90 Questions · 360 Marks · 180 Min
24 Jan 2023 Shift 1
90 Questions · 360 Marks · 180 Min
15 Apr 2023 Shift 1
90 Questions · 360 Marks · 180 Min
30 Jan 2023 Shift 1
90 Questions · 360 Marks · 180 Min
6 Apr 2023 Shift 1
90 Questions · 360 Marks · 180 Min
30 Jan 2023 Shift 2
90 Questions · 360 Marks · 180 Min
Find out the major product for the following reaction. [29-Jan-2023 Shift 2]
Which of the following statements are not correct?A. The electron gain enthalpy of is more negative than that of .B. Ionization enthalpy decreases in a group of periodic table.C. The electronegativity
Which of the following represents the lattice structure of containing and ions? [1-Feb-2023 Shift 1]
of heat is required to melt one mole of sodium chloride and the entropy change at the melting point is _______ at . The melting point of sodium chloride is K. (Nearest Integer) [15-Apr-2023 shift 1]
A solution containing of a non-volatile solute in of water boils at . The molecular mass of the solute is ________ . (Nearest integer)Given, water boils at for water [30-Jan-2023 Shift 1]
The rate constant for a first order reaction is . The time required for the initial concentration of the reactant to reduce to its level is _______ . (Nearest integer)(Given : [31-Jan-2023 Shift 2]
The bond order and magnetic property of acetylide ion are same as that of [12-Apr-2023 shift 1]
In the wet tests for identification of various cations by precipitation, which transition element cation doesn't belong to group IV in qualitative inorganic analysis? [30-Jan-2023 Shift 1]
Given below are two statements :Statement I : Methyl orange is a weak acid.Statement II : The benzenoid form of methyl orange is more intense/deeply coloured than the quinonoid form. In the light of t
If compound A reacts with following first order kinetics with rate constant . The time taken by A (in seconds) to reduce from to will be ________. (Nearest Integer) [30-Jan-2023 Shift 1]
The specific conductance of acetic acid is at a certain temperature. The dissociation constant of acetic acid is ________ . (Nearest integer)Consider limiting molar conductivity of as . [10-Apr-2023 s
2-hexene Products The two products formed in above reaction are - [12-Apr-2023 shift 1]
Consider the cell Given: and If the potential of the cell is the ratio of concentration of to is ________ (Nearest integer) [25-Jan-2023 Shift 1]
Which is not true for arginine? [15-Apr-2023 shift 1]
For the reaction: The correct statement is : [6-Apr-2023 shift 1]
The density of solution of is .Molality of the solution is ______ (Nearest integer).Given: Molar mass of and is 23 and respectively. [1-Feb-2023 Shift 1]
The for the given cell is at when The value of a is _________Given : [25-Jan-2023 Shift 2]
Number of bromo derivatives obtained on treating ethane with excess of , in diffused sunlight is... [6-Apr-2023 shift 1]
Which of the following is correct order of ligand field strength? [30-Jan-2023 Shift 1]
Sum of oxidation states of bromine in bromic acid and perbromic acid is _______. [1-Feb-2023 Shift 1]
The number of bent-shaped molecule/s from the following is _________ [10-Apr-2023 shift 1]
Decreasing order towards reaction for the following compounds is: [30-Jan-2023 Shift 2]
Boric acid in solid, whereas is gas at room temperature because of [30-Jan-2023 Shift 2]
The number of possible isomeric products formed when 3-chloro-1-butene reacts with through carbocation formation is _________ [11-Apr-2023 shift 2]
Arrange the following compounds in increasing order of rate of aromatic electrophilic substitution reaction [11-Apr-2023 shift 1]
Given below are two statements :Statement I : Aqueous solution of is preferred as a primary standard in volumetric analysis over aqueous solution.Statement II : has a higher solubility in water than I
of was dissolved in deionized water to prepare a stock solution. What volume (in ) of this solution would be required to prepare of solution?Given : Molar Mass of and is 23, 16 and 1 respectively [24-
The sum of oxidation state of the metals in and is ______ [8-Apr-2023 shift 2]
The total number of lone pairs of electrons on oxygen atoms of ozone is _______ [25-Jan-2023 Shift 1]
An organic compound gives of and of on complete combustion. If the of carbon is 24 then the of hydrogen is ________ . (Nearest integer) [13-Apr-2023 shift 1]
The number of correct statement/s from the following is___A. Larger the activation energy, smaller is the value of the rate constant.B. The higher is the activation energy, higher is the value of the
The total number of chiral compound/s from the following is ________. [1-Feb-2023 Shift 1]
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A) : in water is more stable than .Reason (R) : Enthalpy of hydration for is much l
Given below are two statements:Statement I: Chlorine can easily combine with oxygen to from oxides: and the product has a tendency to explode.Statement II: Chemical reactivity of an element can be det
Match List I with List II [30-Jan-2023 Shift 1]
(i) (ii) If the degree of dissociation and initial concentration of both the reactants and are equal, then the ratio of the total pressure at equilibrium is equal to . The value of is ________ (Neares
In ammonium-phosphomolybdate, the oxidation state of Mo is + ___ [6-Apr-2023 shift 1]
Correct statements for the given reaction are :A. Compound ' B' is aromaticB. The completion of above reaction is very slowC. 'A' shows tautomerismD. The bond lengths of in compound are found to be sa
The Lewis acid character of boron tri halides follows the order: [31-Jan-2023 Shift 2]
In which of the following processes, the bond order increases and paramagnetic character changes to diamagnetic one? [13-Apr-2023 shift 1]
The wavelength of an electron of kinetic energy is . (Nearest integer)Given : mass of electron is [6-Apr-2023 shift 1]
Which of the following complex has a possibility to exist as meridional isomer? [11-Apr-2023 shift 1]
The number of incorrect statement from the following is _______ [8-Apr-2023 shift 2]
Which of the following complexes will exhibit maximum attraction to an applied magnetic field? [13-Apr-2023 shift 2]
Reaction of propanamide with (aq) produces: [29-Jan-2023 Shift 2]
In sulphur estimation. of an organic compound gave of barium sulphate.The percentage of sulphur in the compound is ________ (Nearest Integer)(Given: Atomic mass Ba: ) [25-Jan-2023 Shift 1]
Sodium metal crystallizes in a body centred cubic lattice with unit cell edge length of . The radius of sodium atom is ______ (Nearest integer) [13-Apr-2023 shift 2]
The total pressure of a mixture of non-reacting gases and in a vessel is 740 of . The partial pressure of the gas is of . (Nearest Integer)(Given : molar mass and ) [31-Jan-2023 Shift 1]
Solid fuel used in rocket is a mixture of and (in ratio ) the heat evolved per gram of the mixture is ________ (Nearest integer)Givne [11-Apr-2023 shift 1]
The decreasing order of hydride affinity for following carbonations is:Choose the correct answer from the options given below: [10-Apr-2023 shift 2]
Match List I with List II List I List II A. I. See - saw B. II. Square planar C. III. Bent shaped D. IV. TetrahedralChoose the correct answer from the options given below : [31-Jan-2023 Shift 1]
The strongest acid from the following is [6-Apr-2023 shift 2]
Consider the cell When the potential of the cell is at , the ratio is _______.(Nearest integer)Given: [30-Jan-2023 Shift 1]
Given below are two statements, one is labelled as Assertion and the other is labelled as Reason . Assertion A : Order of acidic nature of the following compounds is A .Reason R : Fluoro is a stronger
At , the enthalpy of the following processes are given: What would be the value of for the following reaction? _______ (Nearest integer) [1-Feb-2023 Shift 1]
How many of the transformation given below would result in aromatic amines? [31-Jan-2023 Shift 1]
A student has studied the decomposition of a gas at . He obtained the following data. 50 100 200 400 Relative 4 2 1 The order of the reaction is [24-Jan-2023 Shift 2]
The electrode potential of the following half cell at is _______ (Nearest integer).Given: [30-Jan-2023 Shift 2]
A hydrocarbon ' ' with formula uses two moles of on catalytic hydrogenation of its one mole. On ozonolysis, ' ' yields two moles of methane dicarbaldehyde. The hydrocarbon ' ' is: [31-Jan-2023 Shift 2
The one giving maximum number of isomeric alkenes on dehydrohalogenation reaction is (excluding rearrangement) [29-Jan-2023 Shift 2]
Given below are two statements:Statement I : Upon heating a borax bead dipped in cupric sulphate in a luminous flame, the colour of the bead becomes green.Statement II : The green colour observed is d
In an electrochemical reaction of lead, at standard temperature, if volt and volt, then the value of is given by . The value of is ________ (Nearest integer) [11-Apr-2023 shift 1]
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A) : -halocarboxylic acid on reaction with dil. gives good yield of -amino carboxyl
Incorrect statement for the use of indicators in acid-base titration is : [31-Jan-2023 Shift 2]
The correct representation in six membered pyranose form for the following sugar is [1-Feb-2023 Shift 1]
The value of for the reaction at is___(Nearest integer)Given: (Take ) [6-Apr-2023 shift 1]
Three organic compounds A, B and C were allowed to run in thin layer chromatography using hexane and gave the following result (see figure). The value of the most polar compound is ______ . [12-Apr-20
Decreasing order of dehydration of the following alcohols is [1-Feb-2023 Shift 1]
The number of s-electrons present in an ion with 55 protons in its unipositive state is [24-Jan-2023 Shift 2]
Compound reacts with and forms a compound B. Compound B reacts with and excess of to form compound which on passing through or reaction with saturated solution forms sodium hydrogen carbonate. Compoun
The correct increasing order of the ionic radii is [31-Jan-2023 Shift 1]
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason Assertion A : The energy required to form from is much higher than that required to produce Reason R:
bond length in is than the bond length in . The bond length in is than that of the bond in .Choose the correct option for and from the given below. [1-Feb-2023 Shift 2]
Thin layer chromatography of a mixture shows the following observation :The correct order of elution in the silica gel column chromatography is [11-Apr-2023 shift 1]
Number of isomeric aromatic amines with molecular formula , which can be synthesized by Gabriel Phthalimide synthesis is___ [6-Apr-2023 shift 2]
Arrange the following orbitals in decreasing order of energy ?(A) (B) (C) (D) The correct option for the order is : [31-Jan-2023 Shift 2]
Given below are two statements:Statement I : Sulphanilic acid gives esterification test for carboxyl group.Statement II : Sulphanilic acid gives red colour in Lassigne's test for extra element detecti
of is added to of acetic acid solution. The of the resulting solution is _______ (Nearest integer) [13-Apr-2023 shift 2]
When 2 litre of ideal gas expands isothermally into vacuum to a total volume of 6 litre, the change in internal energy is ______ J. (Nearest integer) [30-Jan-2023 Shift 1]
The correct relationships between unit cell edge length ' a ' and radius of sphere ' ' for face-centred and bodycentred cubic structures respectively are: [10-Apr-2023 shift 2]
If the degree of dissociation of aqueous solution of weak monobasic acid is determined to be 0.3 , then the observed freezing point will be ________ higher than the expected/theoretical freezing point
When is heated in presence of oxygen, it converts to . The number of correct statement/s from the following is___A. The equivalent weight of is . B. The number of moles of and in 1 mole of is and resp
of calcium hydroxide was consumed when it was reacted with of unknown solution of . Also standard solution of containing 2 drops of phenolphthalein was titrated with calcium hydroxide, the mixture sho
The number of molecules and moles in 2.8375 litres of at STP are respectively [10-Apr-2023 shift 1]
1 mole of ideal gas is allowed to expand reversibly and adiabatically from a temperature of . The work done is . The final temperature of the gas is _______ (Nearest integer). Given . [30-Jan-2023 Shi
[1-Feb-2023 Shift 2]
From the figure of column chromatography given below, identify incorrect statements.A. Compound 'c' is more polar than ' ' and ' 'B. Compound ' ' is least polarC. Compound ' ' comes out of the column
The number of incorrect statement/s about the black body from the following is ________(A) Emit or absorb energy in the form of electromagnetic radiation(B) Frequency distribution of the emitted radia
The observed magnetic moment of the complex is . The numerical value of is _______. [8-Apr-2023 shift 2]
Match List I with List II. List-I List-II A. van't Hofffactor, i I. Cryoscopic constant B. II. Isotonic solutions C. Solutions with same osmotic pressure III. D. Azeotropes IV. Solutions with same com
The correct order in aqueous medium of basic strength in case of methyl substituted amines is : [25-Jan-2023 Shift 1]
The number of incorrect statement/s from the following isA. The successive half lives of zero order reactions decreases with time.B. A substance appearing as reactant in the chemical equation may not
The orbital angular momentum of an electron in orbital is . The value of is _______ (nearest integer) [13-Apr-2023 shift 2]
For elements B, C, N, Li, Be, O and F, the correct order of first ionization enthalpy is [11-Apr-2023 shift 1]
For a metal ion, the calculated magnetic moment is . This metal ion has ________ number of unpaired electrons. [10-Apr-2023 shift 2]
The number of statement's, which are correct with respect to the compression of carbon dioxide from point (a) in the Andrews isotherm from the following is____A. Carbon dioxide remains as a gas upto p
The magnetic moment of a transition metal compound has been calculated to be B.M. The metal ion is [24-Jan-2023 Shift 1]
Identify the incorrect option from the following: [1-Feb-2023 Shift 1]
Which of the following complex is octahedral, diamagnetic and the most stable? [8-Apr-2023 shift 1]
It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power 'n' i.e. of X-rays emitted is plotted against atomic number ' ', following graph is obtained.
Cyclohexylamine when treated with nitrous acid yields (P). On treating (P) with PCC results in (Q). When (Q) is heated with dil. we get (R) The final product (R) is: [31-Jan-2023 Shift 2]
Match List I with List II: List I (Mixture) List II (SeparationTechnique) (A) I. Steam distillation (B) II. Differential extraction (C) III. Distillation (D) Organic compound IV. Fractionaldistillatio
The solubility product of is _______ at . The solubility of in (aq) solut is (Nearest integer)Given: Molar mass of is [8-Apr-2023 shift 2]
Solution of of non-electrolyte (A) prepared by dissolving it in of water exerts the same osmotic pressure as that of glucose solution at the same temperature. The empirical formula of is . The molecul
The correct order of basicity of oxides of vanadium is [31-Jan-2023 Shift 1]
For the first order reaction the half life is . The time taken for completion of the reaction is _______ mm. (Nearest mteger)Given : [25-Jan-2023 Shift 1]
The titration curve of weak acid vs. strong base with phenolphthalein as indictor) is shown below. The Given The number of following statements/s which is/are correct about phenolphthalein is ________
Number of moles of formed in the following reaction is [24-Jan-2023 Shift 1]
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R: Assertion A : In the photoelectric effect electrons are ejected from the metal surface as soon as
When a solution of mixture having two inorganic salts was treated with freshly prepared ferrous sulphate in acidic medium, a dark brown ring was formed whereas on treatment with neutral . it gave deep
Match List - I with List - II LIST-I (Atomic number) LIST-II (Block of periodictable) (A) 37 I. p-block (B) 78 II. d-block (C) 52 III. f-block (D) 65 IV. s-blockChoose the correct answer from the opti
The ratio of spin-only magnetic moment values is ________. [11-Apr-2023 shift 1]
The water gas on reacting with cobalt as a catalyst forms [8-Apr-2023 shift 1]
For conversion of compound , the rate constant of the reaction was found to be . The order of the reaction is _______. [29-Jan-2023 Shift 2]
In the following reaction, ' ' is [6-Apr-2023 shift 2]
The standard electrode potential of in aqueous solution does not depend on [6-Apr-2023 shift 1]
Zinc reacts with hydrochloric acid to give hydrogen and zinc chloride. The volume of hydrogen gas produced at STP from the reaction of of zinc with excess is _______ (Nearest integer)(Given : Molar ma
Which one of the following statements is correct for electrolysis of brine solution? [31-Jan-2023 Shift 1]
Match List I with List II LIST I Complex LIST II Crystal Field splitting energy A I. -1.2 B II. -0.8 C III. 0 D IV. -0.8Choose the correct answer from the options given below: [10-Apr-2023 shift 2]
The standard reduction potential at for the following half cells are given below :- The number of metal(s) which will be oxidized by in aqueous solution is [6-Apr-2023 shift 2]
Chiral complex from the following is:Here en ethylene diamine [29-Jan-2023 Shift 1]
The number of species from the following carrying a single lone pair on central atom Xenon is ________ [8-Apr-2023 shift 2]
In the cumene to phenol preparation in presence of air, the intermediate is [25-Jan-2023 Shift 1]
For the given reactionThe total number of possible products formed by tertiary carbocation of is _________. [13-Apr-2023 shift 1]
One mole of reacts with 8 moles to give 4 moles of mole of and 2 moles of and respectively are [11-Apr-2023 shift 2]
of an aqueous solution of was found to require of solution when titrated using as an indicator. What is the depression in freezing point of solution of the given concentration? ________ (Nearest integ
An analyst wants to convert of to a solution of of . The volume of water needed to do this dilution is _______ mL. (Nearest integer) [12-Apr-2023 shift 1]
Bond dissociation energy of bond of the " " hydrides of group 16 elements (given below), follows order.(A) (B) (C) (D) [30-Jan-2023 Shift 2]
A protein ' ' with molecular weight of , on hydrolysis gives amino acids. One of these amino acid is [31-Jan-2023 Shift 1]
If the radius of the first orbit of hydrogen atom , then de Broglie's wavelength of electron in orbit is [6-Apr-2023 shift 2]
The bond dissociation energy is highest for [29-Jan-2023 Shift 1]
The correct IUPAC nomenclature for the following compound is : [8-Apr-2023 shift 2]
'A' and 'B' formed in the following set of reactions are : [24-Jan-2023 Shift 1]
Total number of tripeptides possible by mixing of valine and proline is___ [24-Jan-2023 Shift 2]
Uracil is base present in RNA with the following structure. of in uracil is___Given :Molar mass ; [24-Jan-2023 Shift 1]
Amongst the following, the number of species having the linear shape is _______. [31-Jan-2023 Shift 2]
The complex with highest magnitude of crystal field splitting energy is [15-Apr-2023 shift 1]
_______ [31-Jan-2023 Shift 1]
At , the root mean square (rms) speed of gas (molar mass ) is equal to the most probable speed of gas at . The molar mass of the gas is ______ Nearest integer [12-Apr-2023 shift 1]
For certain chemical reaction , the rate of formation of product is plotted against the time as shown in the figure. The number of Correct statement/s from the following is ________(A) Over all order
The molality of a solution of di-bromine solution in (carbon tetrachloride) is ' '. _______ . (Nearest integer)[Given : molar mass of atomic mass of atomic mass of density of dibromine density of ] [1
Compound that will give positive Lassaigne's test for both nitrogen and halogen is [29-Jan-2023 Shift 1]
At , a solution containing of solute in of solution exerts an osmotic pressure of . The molar mass of the solute is _______ (Nearest integer)(Given : [31-Jan-2023 Shift 1]
A metal M forms hexagonal close-packed structure. The total number of voids in of it is _______ (Nearest integer) Given [29-Jan-2023 Shift 2]
The complex that dissolves in water is [11-Apr-2023 shift 1]
Strong reducing and oxidizing agents among the following, respectively, are [6-Apr-2023 shift 1]
Henry Moseley studied characteristic X-ray spectra of elements. The graph which represents his observation correctly isGiven frequency of -ray emitted atomic number [8-Apr-2023 shift 2]
' ' and ' ' in the above reactions are : [11-Apr-2023 shift 1]
Given below are two statements :Statement I : under Clemmensen reduction conditions will give Statement II : under Wolff-Kishner reduction condition will give In the light of the above statements, cho
Increasing order of stability of the resonance structure is : A. B. C. D. [24-Jan-2023 Shift 1]
An aqueous solution of volume contains of protein. The osmotic pressure of the solution at 300 is 1.29 mbar. The molar mass of the protein is _______ Given : bar K [10-Apr-2023 shift 2]
A metal surface of area has to be coated with nickel layer of thickness . A current of was passed through a solution of for ' ' seconds to coat the desired layer. The value of is (Nearest integer) den
Decreasing order of the hydrogen bonding in following forms of water is correctly represented byA. Liquid waterB. IceC. Impure water [24-Jan-2023 Shift 1]
Which will undergo deprotonation most readily in basic medium? [24-Jan-2023 Shift 2]
The correct order of the number of unpaired electrons in the given complexes isA. B. C. D. E. Choose the correct answer from the options given below: [10-Apr-2023 shift 2]
The correct order of melting point of dichlorobenzenes is [31-Jan-2023 Shift 1]
The d-electronic configuration of in tetrahedral crystal field is . Sum of ' ' and 'number of unpaired electrons is_____ [24-Jan-2023 Shift 1]
Resonance in carbonate ion isWhich of the following is true? [1-Feb-2023 Shift 1]
In the reaction given below [13-Apr-2023 shift 1]
Assertion A : Hydrolysis of an alkyl chloride is a slow reaction but in the presence of NaI, the rate of the hydrolysis increases.Reason R: is a good nucleophile as well as a good leaving group.In the
Consider the following equation: . The number of factors which will increase the yield of at equilibrium from the following is _______ [30-Jan-2023 Shift 2]
The energy of an electron in the first Bohr orbit of hydrogen atom is . Its energy in the third Bohr orbit is _______. [13-Apr-2023 shift 1]
An organic compound , shows optical activity and gives gas on treatment with . The compound reacts with producing a compound which is soluble in . The structure of is: [31-Jan-2023 Shift 2]
The bond angle values in a fac complex is/are: [30-Jan-2023 Shift 2]
The number of following statements which is/are incorrect is _________ [8-Apr-2023 shift 1]
Choose the correct answer from the options given below: [10-Apr-2023 shift 1]
The major product ' ' formed in the given reaction is [10-Apr-2023 shift 1]
Which of the following conformations will be the most stable? [25-Jan-2023 Shift 1]
If wavelength of the first line of the Paschen series of hydrogen atom is , then the wavelength of the second line of this series is _____ (Nearest integer) [24-Jan-2023 Shift 1]
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Benzene is more stable than hypothetical cyclohexatriene.Reason R : The delocalized
Formation of which complex, among the following, is not a confirmatory test of ions [6-Apr-2023 shift 2]
Compound , given a tetraacetate with and oxidation of with gives an acid, . Reduction of with gives isopentane. The possible structure of is : [31-Jan-2023 Shift 2]
The effect of addition of helium gas to the following reaction in equilibrium state, is: [1-Feb-2023 Shift 2]
Total number of acidic oxides among and is _________. [29-Jan-2023 Shift 2]
The spin only magnetic moment of complexes is _______ B.M. (Nearest integer)(Given : Atomic no. of is 25 ) [1-Feb-2023 Shift 2]
If the boiling points of two solvents and (having same molecular weights) are in the ratio and their enthalpy of vaporizations are in the ratio , then the boiling point elevation constant of is times
Match List I with List II List I (Amines) List II A. Aniline I. B. Ethanamine II. 3.00 C. N-Ethylethanamine III. 9.38 D. N, N-Diethylethanamine IV. 3.29Choose the correct answer from the options given
In the following reaction, ' ' is'A' Major product. [1-Feb-2023 Shift 1]
Match List I with List II List IList IINatural Amino acidOne Letter Code(A) Arginine(I) D(B) Aspartic acid(II) (C) Asparagine(III) A(D) Alanine(IV) Choose the correct answer from the options given bel
Compound A from the following reaction sequence is : [13-Apr-2023 shift 2]
The incorrect statement from the following for borazine is: [13-Apr-2023 shift 1]
Suitable reaction condition for preparation of Methyl phenyl ether is [10-Apr-2023 shift 1]
The number of molecules from the following which contain only two lone pair of electrons is ________ [10-Apr-2023 shift 2]
The magnetic behaviour of and , respectively, are [29-Jan-2023 Shift 1]
See the following chemical reaction: The sum of and is _______ [13-Apr-2023 shift 2]
The mass of produced when of cyclohexanecarbaldehyde undergoes Tollen's test is . (Nearest Integer)Molar Mass of [12-Apr-2023 shift 1]
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.Assertion A : can be easily reduced using to Reason R : is used to reduce carbonyl group to group.I
of an organic compound with carbon will produce ________ of on complete combustion. [8-Apr-2023 shift 1]
Match List I with List II: List I (Reagents used) List II (Compound with Functional group detected) A. Alkaline solution of copper sulphate and sodium cirate I. B. Neutral solution II. C. Alkaline chl
Identify the product formed (A and E) [25-Jan-2023 Shift 1]
The correct reaction profile diagram for a positive catalyst reaction. [8-Apr-2023 shift 2]
In the above reaction, left hand side and right hand side rings are named as ' A ' and ' ' respectively. They undergo ring expansion. The correct statement for this process is: [13-Apr-2023 shift 1]
Incorrect method of preparation for alcohols from the following is: [10-Apr-2023 shift 2]
During the qualitative analysis of using dilute gas is evolved which turns solution (acidified with dilute ): [30-Jan-2023 Shift 1]
In the following reaction [12-Apr-2023 shift 1]
The electron in the nth orbit of is excited to orbit using the radiation of energy shown in the diagram). The value of is ________Given: [10-Apr-2023 shift 2]
A. Ammonium salts produce haze in atmosphere.B. Ozone gets produced when atmospheric oxygen reacts with chlorine radicals.C. Polychlorinated biphenyls act as cleansing solvents.D. 'Blue baby' syndrome
The set which does not have ambidentate ligand (s) is [11-Apr-2023 shift 1]
The volume of , containing , required to completely neutralise obtained by reacting of metallic sodium with water, is ________ . (Nearest Integer)(Given : molar Masses of are 23, and respectively) [29
oxidises in acidic and neutral/faintly alkaline solution, respectively to [30-Jan-2023 Shift 2]
Enthalpies of formation of and are and respectively. The magnitude of enthalpy of the reaction given below is ________ (nearest integer) [31-Jan-2023 Shift 2]
The major product in the Friedel-Craft acylation of chlorobenzene is : [15-Apr-2023 shift 1]
Given below are two statements : one is labelled as"Assertion A" and the other is labelled as "Reason R".Assertion : In the complex and , the metals have zero oxidation state.Reason R : Low oxidation
The number of bonds in and are respectively [15-Apr-2023 shift 1]
Element not present in Nessler's reagent is:- [6-Apr-2023 shift 2]
Given below are two statements:Statement I : Nickel is being used as the catalyst for producing syn gas and edible fats.Statement II : Silicon forms both electron rich and electron deficient hydrides.
The IUPAC name of is :- [6-Apr-2023 shift 2]
Match list I with list II LIST - I Natural amino acid LIST - II One letter code A. Glutamic acid I. Q B. Glutamine II. W C. Tyrosine III. E D. Tryptophan IV. YChoose the correct answer from the option
The number of pairs of the solution having the same value of the osmotic pressure from the following is ________.(Assume 100\% ionization)A. and B. (aq) and C. and (aq)D. and (aq)E. and [25-Jan-2023 S
Given below are two statements: one is labelled as Assertion and the other is labelled as Reason Assertion A : of hydrated oxalic acid dissolved in water to make solution will result in oxalic acid so
Consider the following reaction approaching equilibrium at and pressure The standard Gibb's energy change at is (-) _______ (Nearest integer).(Given : and ) [29-Jan-2023 Shift 1]
The pair of lanthanides in which both elements have high third - ionization energy is: [13-Apr-2023 shift 1]
80 mole percent of is dissociated in aqueous solution. The vapour pressure of 1.0 molal aqueous solution of at is _______ . (Nearest integer)Given : Vapour pressure of water at is . [12-Apr-2023 shift
An ammoniacal metal salt solution gives a brilliant red precipitate on addition of dimethylglyoxime. The metal ion is : [24-Jan-2023 Shift 1]
The number of correct statements from the following isA. For orbital, the probability density is maximum at the nucleusB. For orbital, the probability density first increases to maximum and then decre
Order of Covalent bond;A. B. C. D. E. [24-Jan-2023 Shift 1]
For the given reaction, if the initial pressure is and the pressure at time is at a constant temperature and constant volume . The fraction of decomposed under these conditions is . The value of is __
The ratio of sigma and bonds present in pyrophosphoric acid is _______ [8-Apr-2023 shift 2]
In the depression of freezing point experimentA. Vapour pressure of the solution is less than that of pure solventB. Vapour pressure of the solution is more than that of pure solventC. Only solute mol
Given below are two statements:Statement I : Pure Aniline and other arylamines are usually colourless.Statement II : Arylamines get coloured on storage due to atmospheric reduction.In the light of the
Match List I with List II LIST I Complex LIST II CFSE A. I. B. II. -2.0 C. III. -1.2 D. IV. -0.4Choose the correct answer from the options given below: [12-Apr-2023 shift 1]
The volume of aqueous required to neutralize of aqueous is (Assume complete neutralization) [6-Apr-2023 shift 2]
The octahedral diamagnetic low spin complex among the following is [10-Apr-2023 shift 1]
A chloride salt solution acidified with dil. gives a curdy white precipitate, , on addition of . [A] on treatment with gives a clear solution, B. [25-Jan-2023 Shift 2]
A solution of in amyl alcohol has a....colour [29-Jan-2023 Shift 2]
The value of in compound ' ' is _______. [12-Apr-2023 shift 1]
The vapour pressure vs. temperature curve for a solution solvent system is shown below:The boiling point of the solvent is _______ [8-Apr-2023 shift 1]
The above reaction is of zero order. Half life of this reaction is . The time taken for the concentration of to reduce to one-fourth of its initial value is _______ .(Nearest integer) [1-Feb-2023 Shif
"A" obtained by Ostwald's method involving air oxidation of , upon further air oxidation produces "B". "B" on hydration forms an oxoacid of Nitrogen along with evolution of "A". The oxoacid also produ
The number of molecules or ions from the following, which do not have odd number of electrons are ________.(A) (B) (C) (D) (E) (F) [29-Jan-2023 Shift 1]
Using column chromatography mixture of two compounds ' ' and ' ' was separated. 'A' eluted first, this indicates ' ' has [10-Apr-2023 shift 1]
What happens when methance undergoes combustion in systems A and B respectively? [13-Apr-2023 shift 2]
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The spin only magnetic moment value for is , whereas for is .Reason : In both complex
The total number of stereoisomers for the complex where ox oxalate is : [13-Apr-2023 shift 2]
For compound having the formula , the correct option form the following is [11-Apr-2023 shift 1]
The major products and from the following reactions are: [6-Apr-2023 shift 1]
For of gas, the plot of vs is shown below. is the pressure and is the volume of the gas.What is the value of compressibility factor at point ? [29-Jan-2023 Shift 1]
The number of correct statements from the following is _______. (A) Conductivity always decreases with decrease in concentration for both strong and weak electrolysis.(B) The number of ions per unit v
The correct order of reactivity of following haloarenes towards nucleophilic substitution with aqueous is Choose the correct answer from the options given below: [8-Apr-2023 shift 2]
Number of hydrogen atoms per molecule of a hydrocarbon A having carbon is _______(Given : Molar mass of ) [25-Jan-2023 Shift 2]
The number of species having a square planar shape from the following is______ [6-Apr-2023 shift 2]
In the above conversion of compound to product , the sequence of reagents to be used will be: [30-Jan-2023 Shift 2]
Sea water contains and by weight of solution. The normal boiling point of the sea water is _______ (Nearest integer)Assume ionization for both and Given : Molar mass of and is 58.5 and respectivley. [
For a chemical reaction Product, the order is 1 with respect to and . [A] [B] 0.10 20 0.5 0.40 x 0.5 0.80 40 YWhat is the value of and ? [11-Apr-2023 shift 2]
What is the correct order of acidity of the protons marked A-D in the given compounds ? [30-Jan-2023 Shift 1]
The major products ' and ' ', respectively, are [30-Jan-2023 Shift 1]
Compound is neutral. gives effervescence with while reacts with Hinsbergs reagent to give solid soluble in . [6-Apr-2023 shift 1] Compound is
is the time required for the reaction to undergo completion and is the time required for the reaction to undergo completion. The relation between and for a first order reaction is _________ . The valu
Match list I with list II List I Species List II Geometry/ Shape A. I. Tetrahedral B. Acetylide anion II. Linera C. III. Pyramidal D. IV. BentChoose correct answer from the options given below: [11-Ap
The one that does not stabilize and structures of proteins is [10-Apr-2023 shift 1]
The sum of bridging carbonyls in and is _______. [29-Jan-2023 Shift 1]
Match List I with List II LIST-I (molecules/ions) LIST-II (No. of lone pairs of on central atom) (A) I. Three (B) II. One (C) III. Two (D) IV. ZeroChoose the correct answer from the options given belo
Maximum number of isomeric monochloro derivatives which can be obtained from 2,2,5,5tetramethylhexane by chlorination is [24-Jan-2023 Shift 2]
The reaction takes places through the mechanism given below: The overall order of the reaction is _______. [12-Apr-2023 shift 1]
At what , given half cell (0.001 M) will have electrode potential of ? _______ (Nearest Integer)Given [1-Feb-2023 Shift 1]
In the following reactions, the total number of oxygen atoms in and is _______ [10-Apr-2023 shift 1]
The energy of one mole of photons of radiation of frequency in is _______.(Nearest integer)(Given: [30-Jan-2023 Shift 1]
Prolonged heating is avoided during the preparation of ferrous ammonium sulphate to [10-Apr-2023 shift 1]
One mole of an ideal monoatomic gas is subjected to changes as shown in the graph. The magnitude of the work done (by the system or on the system) is (nearest integer). Given : [24-Jan-2023 Shift 2]
Consider the following dateHeat of combustion of Heat of combustion of Heat of combustion of .The heat of formation of is (-)_____ (Nearest integer) [6-Apr-2023 shift 2]
Highest oxidation state of is exhibited in . The correct statements about are(A) is tetrahedrally surrounded by oxygen atoms(B) is octahedrally surrounded by oxygen atoms(C) Contains Mn-O-Mn bridge(D)
The wave function of is given by At , radial node is formed. Thus, in terms of [30-Jan-2023 Shift 2]
The volume of hydrogen liberated at STP by treating of magnesium with excess of hydrochloric acid is ________ .Given: Molar volume of gas is at STP. Molar mass of magnesium is [11-Apr-2023 shift 2]
At , the solubility of silver chloride in water is . The value of for silver chloride is(Given mass of is and mass of is _______ [31-Jan-2023 Shift 2]
The number of following factors which affect the percent covalent character of the ionic bond is ________ [8-Apr-2023 shift 1]
What is the value of ? [8-Apr-2023 shift 1]
The volume (in ) of required for complete precipitation of chloride ions present in of solution of as silver chloride is _______. [15-Apr-2023 shift 1]
The above reaction was studied at by monitoring the concentration of in which initial concentration was and after half an hour became . The rate of production of is ________ [11-Apr-2023 shift 1]
Lead storage battery contains by weight solution of . The van't Hoff factor is at this concentration. The temperature in Kelvin at which the solution in the battery will freeze is _______ (Nearest int
Given below are two statements :Statement I: and both possess -shaped structure.Statement II : The bond angle of less than that of In the light of the above statements, choose the most appropriate ans
Among the following compounds, the one which shows highest dipole moment is [13-Apr-2023 shift 1]
solution of is mixed with solution of . The resulting solution is divided into two equal parts and treated with excess solution and solution respectively as shown below: solution (excess) Solution sol
o-Phenylenediamine ' ' Major Product ' ' is [11-Apr-2023 shift 1]
The enthalpy change for the conversion of ________ [31-Jan-2023 Shift 1]
Consider the following sequence of reaction :The product ' ' is : [15-Apr-2023 shift 1]
of acetic acid is dissociated when its is added to of water. The depression in freezing point of such water is _______ . Atomic mass of and are 12,1 and 16 a.m.u. respectively.[Given : Molal depressio
For molecule consider the following:(A) Number of lone pairs on oxygen is 2 .(B) FOF angle is less than .(C) Oxidation state of is .(D) Molecule is bent ' ' shaped.(E) Molecular geometry is linear.Cor
The primary and secondary valencies of cobalt respectively in are : [24-Jan-2023 Shift 1]
The standard electrode potential for , are and , respectively. The metal ions which can liberate from a dilute acid are [29-Jan-2023 Shift 1]
The major product ' ' formed in the following sequence of reactions is [12-Apr-2023 shift 1]
Choose the halogen which is most reactive towards reaction in the given compounds (A, B, C, & D) [8-Apr-2023 shift 1]
The number of atomic orbitals from the following having 5 radial nodes is _______ [8-Apr-2023 shift 2]
Which of the following are the example of double salt?(A) (B) (C) (D) Choose the correct answer. [1-Feb-2023 Shift 1]
The major product ' ' for the following sequence| of reactions is: [29-Jan-2023 Shift 1]
An athlete is given of glucose for energy. This is equivalent to of energy. The of this energy gained is utilized by the athlete for sports activities at the event. In order to avoid storage of energy
of silver nitrate solution (1M) is added dropwise to of potassium iodide solution. The ion(s) present in very small quantity in the solution is/are [11-Apr-2023 shift 1]
When the hydrogen ion concentration changes by a factor of 1000 , the value of of the solution _______. [25-Jan-2023 Shift 2]
The increasing order of for the following phenols is [29-Jan-2023 Shift 1]
Match list I with list II LIST - I Coordination complex LIST - II Number of unpaired electrons A. I. 0 B. II. 3 C. III. 2 D. IV. 4Choose the correct answer from the options given below: [8-Apr-2023 sh
In the reaction given below [13-Apr-2023 shift 1]
Match List I with List II List I Element detected List II Reagent used Product formed Nitrogen I. B Sulphur II. Phosphorous III. Halogen IV. Choose the correct answer from the options given below: [6-
reacts with to form ________ [8-Apr-2023 shift 1]
Find out the major product from the following reaction [6-Apr-2023 shift 2]
For lead storage battery pick the correct statementsA. During charging of battery, on anode is converted into B. During charging of battery, on cathode is converted into C. Lead storage battery consis
A solution of when treated with gives a prussiun blue precipitate due to the formation of [1-Feb-2023 Shift 1]
Match List I with List II: List I (Complexes) List II (Hybridis ation) (A) I. (B) II. (C) III. (D) IV. [30-Jan-2023 Shift 2]
Given below are two statements:Statement I : The decrease in first ionization enthalpy from to is much larger than that from to .Statement II : The d orbitals in Ga are completely filled.In the light
Mass of Urea required to be dissolved in of water to reduce the vapour pressure of water by is......g. (Nearest integer)Given: Molar mass of N, C, O and H are 14, 12,16 and respectively. [6-Apr-2023 s
The reaction occurs in which of the given galvanic cell. [8-Apr-2023 shift 1]
The hybridization and magnetic behaviour of cobalt ion in complex, respectively is [24-Jan-2023 Shift 2]
The Total pressure observed by mixing two liquid and is when their mole fractions are and respectively.The Total pressure becomes if the mole fractions are changed to and respectively for and . The va
The correct order for acidity of the following hydroxyl compound is :Choose the correct answer from the options given below: [10-Apr-2023 shift 2]
In the above conversion the correct sequence of reagents to be added is :Options : [15-Apr-2023 shift 1]
Reaction of thionyl chloride with white phosphorus forms a compound , which on hydrolysis gives [B], a dibasic acid. [A] and [B] are respectively [25-Jan-2023 Shift 1]
Number of compounds from the following which will not produce orange red precipitate with Benedict solution is ________ Glucose, maltose, sucrose, ribose, 2-deoxyribose, amylose, lactose [11-Apr-2023
Maximum number of electrons that can be accommodated in shell with are: [30-Jan-2023 Shift 2]
Choose the correct colour of the product for the following reaction. [24-Jan-2023 Shift 2]
When of an organic compound containing carbon was burnt completely, of was produced. The molar mass of compound is _______ (Nearest integer) [29-Jan-2023 Shift 2]
Which of the following statement is correct for paper chromatography? [15-Apr-2023 shift 1]
To inhibit the growth of tumours, identify the compounds used from the following:(A) EDTA(B) Coordination Compounds of Pt(C) D-Penicillamine(D) Cis - PlatinChoose the correct answer from the option gi
Given below are two statements, one is labelled as Assertion and the other is labelled as Reason Assertion A :- Carbon forms two important oxides and is neutral whereas is acidic in nature.Reason :- c
Values of work function ( for a few metals are gives below Metal Li Na K Mg Cu Ag 2.42 2.3 2.25 3.7 4.8 4.3The number of metals which will show photoelectric effect when light of wavelength falls on i
The number of correct statements from the following is ________A. is an intensive parameterB. A negative means that the redox couple is a stronger reducing agent than the couple.C. The amount of elect
Number of compounds from the following which will not dissolve in cold and solutions but will dissolve in hot solution is _______. [30-Jan-2023 Shift 2]
The resistivity of a solution of an electrolyte is _______ . Its molar conductivity is . (Nearest integer) [31-Jan-2023 Shift 2]
Which halogen is known to cause the reaction given below: [8-Apr-2023 shift 1]
The total number of intensive properties from the following is ______ new line volume, Molar heat capacity, Molarity, cell, Gibbs free energy change, Molar mass, Mole [11-Apr-2023 shift 2]
Compound ' ' is [11-Apr-2023 shift 2]
A first order reaction has the rate constant, . The number of correct statement from the following is/are ________.Given : A. Reaction completes in .B. The reaction has a half-life of .C. The time req
The number of endothermic process/es from the following isA. B. C. D. E. Dissolution of ammonium chloride in water [10-Apr-2023 shift 2]
A sample of a metal oxide has formula . The metal can exist in two oxidation states and . In the sample of , the percentage of metal ions existing in oxidation state is _______ (nearest integer) [31-J
Which one of the following pairs is an example of polar molecular solids? [11-Apr-2023 shift 2]
The isomeric deuterated bromide with molecular formula having two chiral carbon atoms is [25-Jan-2023 Shift 2]
The difference in the oxidation state of Xe between the oxidised product of Xe formed on complete hydrolysis of and is _______ [10-Apr-2023 shift 2]
The equilibrium constant for the reaction is at . The magnitude of standard electrode potential of if is _______ . (Nearest integer) [29-Jan-2023 Shift 2]
Match List I with List II List I Coordination entity List II Wavelength of light absorbed in A. I. 310 B. II. 475 C. III. 535 D. IV. 600 Choose the correct answer from the options given below :- [25-J
The radius of the orbit of is . The expected radius of the orbit of is [25-Jan-2023 Shift 1]
The maximum number of lone pairs of electrons on the central atom from the following species is ________ and [11-Apr-2023 shift 2]
The covalency and oxidation state respectively of boron in , are : [13-Apr-2023 shift 2]
Which of the following have same number of significant figures?A. 0.00253B. 1. 0003C. 15.0D. 163Choose the correct answer from the options given below [8-Apr-2023 shift 2]
If the of lactic acid is 5, then the of calcium lactate solution at is ______ (Nearest integer) Lactic acid [24-Jan-2023 Shift 2]
List I Oxide List II Type of Bond A I. bondB II. bondC III. bondD IV. bond Choose the correct answer from the options given below: [6-Apr-2023 shift 1]
The correct sequence of reagents for the preparation of and is : [25-Jan-2023 Shift 1]
The number of correct statement/s involving equilibria in physical from the following is ________ [10-Apr-2023 shift 1]
Match List I and List II List I Test List II Functional group /Class of Compound A. Molisch's Test I. Peptide B. Biuret Test II. Carbohydrate C. Carbylamine Test III. Primary amine D. Schiff s Test IV
What is the number of unpaired electron(s) in the highest occupied molecular orbital of the following species : ? [24-Jan-2023 Shift 2]
' ' in the given reaction is [25-Jan-2023 Shift 2]
The total change in the oxidation state of manganese involved in the reaction of and potassium iodide in the acidic medium is _______. [15-Apr-2023 shift 1]
of an organic compound gave of in Carius method for estimation of bromine. \% of bromine in the compound is ______ . (Given: Molar mass ) [13-Apr-2023 shift 2]
Isomeric amines with molecular formula given the following tests Isomer Can be prepared by Gabriel phthalimide synthesis Isomer Reacts with Hinsberg's reagent to give solid insoluble in Isomer Reacts
Compound from the following that will not produce precipitate on reaction with is : [11-Apr-2023 shift 2]
A metal M crystallizes into two lattices :- face centred cubic (fcc) and body centred cubic (bcc) with unit cell edge length of and respectively. The ratio of densities of lattices fcc to bcc for the
Arrange the following gases in increasing order of van der waals constant ' 'A. ArB. C. D. Choose the correct options from the following [8-Apr-2023 shift 2]
For a concentrated solution of a weak electrolyte ( equilibrium constant) of concentration ' ', the degree of dissociation " ' is [6-Apr-2023 shift 1]
of is mixed with of of is at . The ratio of and is _________ . (Nearest integer) [13-Apr-2023 shift 1]
The major product formed in the followingreaction is [6-Apr-2023 shift 1]
The number of paramagnetic species from the following is ______. [25-Jan-2023 Shift 1]
The homoleptic and octahedral complex of and has _______ unparied electrons(s) in the set of orbitals. [15-Apr-2023 shift 1]
Where NucleophileFind out the correct statement from the options given below for the above 2 reactions. [11-Apr-2023 shift 1]
The equilibrium composition for the reaction at is given below. If of is added at the same temperature, the equilibrium concentrations of is ______ .Given : for the reaction at is 20 [6-Apr-2023 shift
In a reaction,reagents ' ' and ' ' respectively are : [1-Feb-2023 Shift 2]
The number of species from the following which have square pyramidal structure is [6-Apr-2023 shift 1]
The number of hyperconjugation structures involved to stabilize carbocation formed in the above reaction is ________ [11-Apr-2023 shift 1]
Given below are two statements :Statement I : Tropolone is an aromatic compound and has electrons.Statement II : electrons of group in tropolone is incolved in aromaticityIn the light of the above sta
A certain quantity of real gas occupies a volume of at and when its compressibility factor is 1.07 . Its volume at and (When its compressibility factor is 1.4 ) is ____ . (Nearest integer) [13-Apr-202
Consider the following reaction that goes from to B in three steps as shown below:- Choose the correct Number of intermediates Number of Activated complexes Rate determinng step (1) 3 2 II (2) 2 3 II
The sum of lone pairs present on the central atom of the interhalogen and is _______ [10-Apr-2023 shift 1]
During the borax bead test with , a blue green colour of the bead was observed in oxidising flame due to the formation of [29-Jan-2023 Shift 1]
At , a 1 litre solution containing of and of shows a pH of .Given : and The potential for the half cell reaction is . The value of is____ [24-Jan-2023 Shift 1]
Given below are two statements :Statement I : is more covalent than Statement II : The higher oxides of halogens also tend to be more stable than lower ones.In the light of the above statements, choos
Which one of the following sets of ions represents a collection of isoelectronic species?(Given : Atomic Number: , ) [1-Feb-2023 Shift 2]
Identify the correct order for the given property for following compoundsChoose the correct answer from the option given below :- [29-Jan-2023 Shift 1]
of ethane undergoes combustion at in a bomb calorimeter. The temperature of calorimeter system (including the water) is found to rise by . The heat evolved during combustion of ethane at constant pres
The compound which does not exist is [10-Apr-2023 shift 1]
An atomic substance of molar mass has a cubic crystal structure with edge length of . The no. of atoms present in one unit cell of is ______ (Nearest integer)Given the density of is and [11-Apr-2023 s
The magnetic moment is measured in Bohr Magneton (BM). Spin only magnetic moment of in and complexes respectively is: [11-Apr-2023 shift 2]
When a hydrocarbon A undergoes complete combustion it requires 11 equivalents of oxygen and produces 4 equivalents of water. What is the molecular formula of A ? [31-Jan-2023 Shift 2]
Which of the following relations are correct?(A) (B) (C) (D) Choose the most appropriate answer from the options given below : [29-Jan-2023 Shift 2]
Among following compounds, the number of those present in copper matte is ______.A. B. C. D. [1-Feb-2023 Shift 2]
If the CFSE of is , this complex will absorb maximum at wavelength ____ . (nearest integer)Assume Planck's constant Speed of light and Avogadro's constant [31-Jan-2023 Shift 2]
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason :Assertion A : Acetal/Ketal is stable in basic medium.Reason : The high leaving tendency of alkoxide
The graph which represents the following reaction is: [1-Feb-2023 Shift 2]
Consider the following statements:(A) molecule has a trigonal planar structure.(B) Bond length of is shorter than (C) Isoelectronic molecules or ions have identical bond order(D) Dipole moment of HS i
Potassium dichromate acts as a strong oxidizing agent in acidic solution. During this process, the oxidation state changes from [25-Jan-2023 Shift 2]
Number of crystal systems from the following where body centred unit cell can be found, is..... Cubic, tetragonal, orthorhombic, hexagonal, rhombohedral, monoclinic, triclinic. [6-Apr-2023 shift 2]
Given below are two statement: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: electrons can participate in bonding to a far greater extent than electrons Reason R: o
Number of ambidentate ligands in a representative metal complex is [6-Apr-2023 shift 1]
Match items of column I and II Column I (Mixture of compounds) Column II (Separation Technique) A. i. Crystallization ii. Differential solvent extraction C. Kerosene/Naphthalene iii. Column chromatogr
The correct order of electronegativity for given elements is: [8-Apr-2023 shift 1]
Compound undergoes following sequence of reactions to give the Lactone . [24-Jan-2023 Shift 1]
Which of the following complex will show largest splitting of d-orbitals? [1-Feb-2023 Shift 1]
Find out the major products from the following reactions. [24-Jan-2023 Shift 2]
' 25 volume' hydrogen peroxide means [25-Jan-2023 Shift 1]
[31-Jan-2023 Shift 1]
Sum of -bonds present in peroxodisulphuric acid and pyrosulphuric acid is [24-Jan-2023 Shift 2]
Which one of the following elements will remain as liquid inside pure boiling water ? [6-Apr-2023 shift 2]
When a electric heater is immersed in a gas for in a constant volume container with adiabatic walls, the temperature of the gas rises by . The heat capacity of the given gas is _______ (Nearest intege
The rate constants of the above reaction at and are and respectively. The activation energy for the reaction is ________ (Nearest integer)(Given : In [31-Jan-2023 Shift 1]
The osmotic pressure of solutions of PVC in cyclohexanone at are plotted on the graph.The molar mass of PVC is _________ (Nearest integer)(Given : ) [25-Jan-2023 Shift 1]
For electron gain enthalpies of the elements denoted as , the incorrect option is : [1-Feb-2023 Shift 2]
In Dumas method for the estimation of , the sample is heated with copper oxide and the gas evolved is passed over: [31-Jan-2023 Shift 2]
Choose the correct representation of conductometric titration of benzoic acid vs sodium hydroxide. [24-Jan-2023 Shift 2]
A cubic solid is made up of two elements and . Atoms of are present on every alternate corner and one at the center of cube. is at of the total faces. The empirical formula of the compound is [25-Jan-
Total number of moles of precipitated on addition of excess of to one mole each of the following complexes , and is [25-Jan-2023 Shift 2]
Match List I with List II LIST I LIST II A of I. Weight B of II electrons C mole of III Weight D of IV Occupies volume at STPChoose the correct answer from the options given below: [10-Apr-2023 shift
Iron oxide , crystallises in a cubic lattice with a unit cell edge length of . If density of the in the crystal is , then the number of units present per unit cell is _______ (Nearest integer)Given :
Which of the Phosphorus oxoacid can create silver mirror from solution ? [24-Jan-2023 Shift 1]
What weight of glucose must be dissolved in of water to lower the vapour pressure by ?(Assume dilute solution is being formed)Given : Vapour pressure of pure water is at room temperature. Molar mass o
In the following reaction ' ' is [13-Apr-2023 shift 1]
Find out the major product from the following reaction. [25-Jan-2023 Shift 2]
Given below are two statements:Statement I : Boron is extremely hard indicating its high lattice energyStatement II : Boron has highest melting and boiling point compared to its other group members.In
What is the mass ratio of ethylene glycol , molar mass ) required for making of molal aqueous solution and of molar aqueous solution ? [25-Jan-2023 Shift 2]
Statement I :- Dipole moment is a vector quantity and by convention it is depicted by a small arrow with tail on the negative centre and head pointing towards the positive centre.Statement II :- The c
The number of given orbitals which have electron density along the axis is ________ [25-Jan-2023 Shift 2]
A solution is prepared by adding of " " to 1 mole of water. Mass percent of " " in the solution is [11-Apr-2023 shift 2]
During the reaction of permanganate with thiosulphate, the change in oxidation of manganese occurs by value of 3 . Identify which of the below medium will favour the reaction. [6-Apr-2023 shift 2]
Solid Lead nitrate is dissolved in 1 litre of water. The solution was found to boil at . When of is added to the resulting solution, it was observed that the solution froze at . The solutbility produc
The strength of 50 volume solution of hydrogen peroxide is ________ (Nearest integer).Given:Molar mass of is Molar volume of gas at . [30-Jan-2023 Shift 2]
Water decomposes at The percent of water decomposing at and 1 bar is ________ (Nearest integer).Equilibrium constant for the reaction is at [29-Jan-2023 Shift 1]
A mixture of 1 mole of and 1 mole of is taken in a 10 litre container and heated to . At equilibrium of water by mass reacts with carbon monoxide according to the equation : . The equilibrium constant
Which of the following expressions is correct in case of a unit cell (edge length 'a')? [15-Apr-2023 shift 1]
and are two substances undergoing radioactive decay in a container. The half life of is and that of is . If the initial concentration of B is 4 times that of and they both start decaying at the same t
Inert gases have positive electron gain enthalpy. Its correct order is [25-Jan-2023 Shift 1]
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.Assertion A : A solution of the product obtained by heating a mole of glycine with a mole of chlori
paper acidified with dilute turns green when exposed to [24-Jan-2023 Shift 2]
The difference between electron gain enthalpies will be maximum between: [6-Apr-2023 shift 1]
is first order reaction. The initial pressure of the system was found to be which increased to after . The total pressure of the system after will be _____ Hg. (Nearest integer) [13-Apr-2023 shift 2]
new line and are diatomic molecules. If the bond enthalpies of and are in the ratio , then the bond enthalpy of is ________ . (Nearest integer) [13-Apr-2023 shift 1]
According to theory the bond orders for , and respectively, are [29-Jan-2023 Shift 2]
The product formed in the following multistep reaction is:
In the wet tests for detection of various cations by precipitation, cations are detected by obtaining precipitate of : [13-Apr-2023 shift 2]
An organic compound ' ' with empirical formula gives sooty flame on burning. Its reaction with bromine solution in low polarity solvent results in high yield of is [31-Jan-2023 Shift 1]
Which element is not present in Nessler's reagent ? [1-Feb-2023 Shift 2]
Which of the following statement(s) is/are correct?(A) The of solution is 8(B) The conjugate hase of is (C) increases with increase in temperature.(D) When a solution of a weak monoprotic acid is titr
The compound which will have the lowest rate towards nucleophilic aromatic substitution on treatment with is [25-Jan-2023 Shift 1]
The density of a monobasic strong acid (Molar mass ) is . The volume of its solution required for the complete neutralization of of is ________ x (Nearest integer) [25-Jan-2023 Shift 1]
of a hydrocarbon (M.F. ) takes up of the gas measured at and . Ozonolysis of the same hydrocarbon yields . The number of double bond/s present in the hydrocarbon is ________. [29-Jan-2023 Shift 1]
When a hydrocarbon A undergoes combustion in the presence of air, it requires equivalents of oxygen and produces 3 equivalents of water. What is the molecular formula of ? [29-Jan-2023 Shift 2]
Major product ' ' formed in the following reaction is : [8-Apr-2023 shift 2]
of is produced on complete combustion of gaseous mixture of ethene and methane at and 1 atm. Heat evolved during the combustion process is _________ .Given : [25-Jan-2023 Shift 2]
Number of compounds giving (i) red colouration with ceric ammonium nitrate and also (ii) positive iodoform test from the following is [25-Jan-2023 Shift 2]
For a good quality cement, the ratio of silica to alumina is found to be [15-Apr-2023 shift 1]
Match List I with List II. List-I Reaction List-II Reagents A Hoffmann Degradation I Conc. B Clemenson reduction II C Cannizaro reaction III D Reimer-Tiemann reaction IV [29-Jan-2023 Shift 1]
' ' formed in the above reaction is : [15-Apr-2023 shift 1]
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.Assertion Acan be subjected to Wolff-Kishner reduction to giveReason R:Wolff-Kishner reduction is u
A short peptide on complete hydrolysis produces 3 moles of glycine , two moles of leucine and two moles of valine (V) per mole of peptide. The number of peptide linkages in it are _______. [30-Jan-202
Find out the major products from the following reaction sequence. [29-Jan-2023 Shift 2]
Match List I with List II I - Bromopropane is reacted with reagents in List I to give product in List II LIST I-Reagent LIST II - Product A I. Nitrile B. (alc) II. Ester C. III. Alkene D. IV. Nitroalk
Following figure shows dependence of molar conductance of two electrolytes on concentration. is the limiting molar conductivity. The number of Incorrect statement(s) from the following is ________ (A)
Assume that the radius of the first Bohr orbit of hydrogen atom is . The radius of the third Bohr orbit of is ______ picometer. (Nearest Integer) [29-Jan-2023 Shift 2]
For independent process at 300 K. Process B 40 C 25 D 22 20 The number of non-spontaneous process from the following is____ [24-Jan-2023 Shift 1]
Given below are two statements, one is labelled as Assertion and the other is labelled as Reason Assertion A :- Butylated hydroxyl anisole when added to butter increases its shelf life.Reason R :- But
In the following given reaction ' ' is [24-Jan-2023 Shift 1]
Match List I with List II List I Name of reaction List II Reagent used A I. B Iodoform reaction II. C Etard reaction III. D IV. Choose the correct answer from the options given below: [6-Apr-2023 shif
In an ice crystal, each water molecule is hydrogen bonded to ________ neighbouring molecules. [6-Apr-2023 shift 2]
Evaluate the following statements for their correctness.(A) The elevation in boiling point temperature of water will be same for and urea.(B) Azeotropic mixtures boil without change in their compositi
Assume carbon burns according to following equation : When carbon is burnt in of oxygen, the volume of carbon monoxide produced is _______ at STP [nearest integer][Given : Assume as ideal gas, Mass of
The major product formed in the following reaction is: [8-Apr-2023 shift 1]
Some amount of dichloromethane is added to of chloroform to prepare solution of . The concentration of is ppm _______ (by mass).Given: Atomic mass: density of [30-Jan-2023 Shift 1]
Which of the following cannot be explained by crystal field theory? [24-Jan-2023 Shift 2]
At constant temperature, a gas is at pressure of . The pressure at which its volume decreases by is ________ . (Nearest integer) [10-Apr-2023 shift 1]
A bottle of soft drink has dissolved in it. Assuming behaves as an ideal gas, the volume of the dissolved at STP is _______ . (Nearest integer)Given: At STP, molar volume of an ideal gas is [30-Jan-20
The products formed in the above reaction are [13-Apr-2023 shift 1]
At , the standard reduction potential for electrode is .Given : Take The reduction potential at for the above couple is . The value of is ________. [13-Apr-2023 shift 2]
Molar mass of the hydrocarbon which on ozonolysis consumes one mole of per mole of and gives one mole each of ethanol and propanone is _______ (Molar mass of [8-Apr-2023 shift 1]
Which of the following compounds would give the following set of qualitative analysis ?(i) Fehling's Test : Positive(ii) fusion extract upon treatment with sodium nitroprusside gives a blood red colou
Match the List-I with List-II : Cations Group reaction (i) gas in presence of dilute (ii) in presence of (iii) in presence of (iv) in presence of [25-Jan-2023 Shift 1]
The product formed from the following multistep reaction is : [8-Apr-2023 shift 2]
During water-gas shift reaction [15-Apr-2023 shift 1]
A in the above reaction is: [12-Apr-2023 shift 1]
Choose the correct answer from the options given below: List I List II Elements Colour imparted to the flame A. K I. Brick Red B. Ca II. Violet C. Sr III. Apple Green D. Ba IV. Crimson Red Choose the
The naturally occurring amino acid that contains only one basic functional group in its chemical structure is : [13-Apr-2023 shift 2]
solution is isotonic with glucose solution. Percentage dissociation of is (Nearest integer) [11-Apr-2023 shift 1]
The number of given statements/s which is/are correct is ________ [8-Apr-2023 shift 1]
Match List I with List II. List I Isomeric pairs List II Type of isomers A. Propanamine and N-Methylethanamine I. Metamers B. Hexan-2-one andHexan-3-one II. Positional isomers C. Ethanamide andHydroxy
In Carius tube, an organic compound ' is treated with sodium peroxide to form a mineral acid ' .The solution of is added to ' to form a precipitate ' '.' ' is used for the quantitative estimation of a
The denticity of the ligand present in the Fehling's reagent is _______. Denticity [29-Jan-2023 Shift 2]
Electrons in a cathode ray tube have been emitted with a velocity of . The number of following statements which is/are true about the emitted radiation is _______.Given : .(A) The deBroglie wavelength
Match items of Row I with those of Row II.Row I :Row II : (i) -D-(-) Fructofuranose. (ii) -D-(-) Fructofuranose (iii) -D-(-) Glucopyranose. (iv) -D-(-) Glucopyranose Correct match is [25-Jan-2023 Shif
Consider the graph of Gibbs free energy vs Extent of reaction. The number of statement/s from the following which are true with respect to points (a), (b) and (c) is____A. Reaction is spontaneous at (
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A) : An aqueous solution of when for volumetric analysis, its concentration should b
The mismatched combinations areA. Chlorophyll - CoB. Water hardness - EDTAC. Photography D. Wilkinson catalyst - E. Chelating ligand - D-PenicillamineChoose the correct answer from the options given b
The set of correct statements is:(i) Manganese exhibits oxidation state in its oxide.(ii) Ruthenium and Osmium exhibit oxidation in their oxides.(iii) shows oxidation state which is oxidizing in natur
' ' formed in the following sequence of reaction is: [24-Jan-2023 Shift 1]
is added to of saturated solution of . The conductivity of this solution at is ______ . [Given : at [1-Feb-2023 Shift 2]
A molecule undergoes two independent first order reactions whose respective half lives are and . If both the reactions are occurring then the time taken for the consumption of the reactant is _______
Cobalt chloride when dissolved in water forms pink colored complex which has octahedral geometry. This solution on treating with cone forms deep blue complex, which has a geometry. and , respectively,
The number of electrons involved in the reduction of permanganate to manganese dioxide in acidic medium is ________. [30-Jan-2023 Shift 1]
In Chromyl chloride, the oxidation state of chromium is _______. [15-Apr-2023 shift 1]
Number of isomeric compounds with molecular formula which (i) do not dissolve in (ii) do not dissolve in . (iii) do not give orange precipitate with 2, 4 - DNP (iv) on hydrogenation give identical com
A litre of buffer solution contains mole of each of and . On the addition of mole of by dissolving gaseous , the of the solution is found to be ________ Nearest integer) Given : [25-Jan-2023 Shift 1]
When ion is treated with , a white precipitate, appears in solution. The solution is titrated with sodium thiosulphate, the compound is formed. and respectively are [31-Jan-2023 Shift 1]
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A) : Ketoses give Seliwanoff's test faster than Aldoses.Reason (R) : Ketoses underg
A compound is formed by two elements and . The element forms cubic close packed arrangement and those of element occupy one third of the tetrahedral voids. What is the formula of the compound? [6-Apr-
of a carbonate on treatment with excess produces of . The molar mass of is _______ . (Nearest integer) [13-Apr-2023 shift 2]
Choose the correct set of reagents for the following conversion trans [31-Jan-2023 Shift 1]
For complete combustion of ethane, The amount of heat produced as measured in bomb calorimeter is at . The minimum value of needed to reach equilibrium is _______ (Nearest integer)Given : [8-Apr-2023
Correct order of spin only magnetic moment of the following complex ions is:(Given At. No. Fe: 26, Co:27) [29-Jan-2023 Shift 2]
If 5 moles of is mixed with 2 moles of , the maximum number of moles of formed is .(Nearest integer) [6-Apr-2023 shift 1]
At , , ; , ; , . Based on above equilibria, the equilibrium constant of the reaction, is _______ (Nearest integer) [29-Jan-2023 Shift 2]
The correct order of spin only magnetic moments for the following complex ions is [8-Apr-2023 shift 1]
The structures of major products A, B and C in the following reaction are sequence. [1-Feb-2023 Shift 2]
All structures given below are of vitamin C. Most stable of them is : [1-Feb-2023 Shift 2]
is titrated with ferrous ammonium sulphate hexahydrate in presence of dilute . Number of water molecules produced for 2 molecules of is ________. [13-Apr-2023 shift 1]
In the reaction given below:The product ' ' is: [10-Apr-2023 shift 2]
The number of units, which are used to express concentration of solutions from the following is____Mass percent, Mole, Mole fraction, Molarity, ppm, Molality. [24-Jan-2023 Shift 2]
Given below are two statement :Statement I : In redox titration, the indicators used are sensitive to change in of the solution.Statement II : In acid-base titration, the indicators used are sensitive
Which transition in the hydrogen spectrum would have the same wavelength as the Balmer type transition from to of spectrum [31-Jan-2023 Shift 1]
In an oligopeptide named Alanylglycylphenyl alanyl isoleucine, the number of hybridised carbons is [12-Apr-2023 shift 1]
Three bulbs are filled with and as shown the picture. The bulbs are connected through pipes of zero volume. When the stopcocks are opened and the temperature is kept constant throughout, the pressure
A metal chloride contains of chlorine by weight . vapours of the metal chloride at STP weigh . The molecular formula of the metal chloride is (Given: Atomic mass of chlorine is ) [12-Apr-2023 shift 1]
Benzyl isocyanide can be obtained by :Choose the correct answer from the options given below : [30-Jan-2023 Shift 1]
4.5 moles each of hydrogen and iodine is heated in a sealed ten litre vessel. At equilibrium, 3 moles of were found. The equilibrium constant for is ________ [11-Apr-2023 shift 2]
Which of the following statements are correct?(A) The reduction potential for iron is greater than manganese(B) The higher oxidation states of first row d-block elements get stabilized by oxide ion.(C
The complex cation which has two isomers is : [1-Feb-2023 Shift 2]
In alkaline medium, the reduction of permanganate anion involves a gain of _______ electrons. [10-Apr-2023 shift 2]
If the formula of Borax is . , then _______. [13-Apr-2023 shift 2]
Number of cyclic tripeptides formed with 2 amino acids and is: [29-Jan-2023 Shift 1]
For reaction: at and 1 atm pressure. The for the same reaction is _______ . (Nearest integer)(Given ) [31-Jan-2023 Shift 1]
In the following halogenated organic compounds the one with maximum number of chlorine atoms in its structure is : [31-Jan-2023 Shift 2]
Given below are two statementsStatement I : According to Bohr's model of hydrogen atom, the angular momentum of an electron in a given stationary state is quantised.Statement II : The concept of elect
The total number of isoelectronic species from the given set is ________. [15-Apr-2023 shift 1]
The shortest wavelength of hydrogen atom in Lyman series is . The longest wavelength in Balmer series of is [29-Jan-2023 Shift 1]
Decreasing order of reactivity towards electrophilic substitution for the following compounds is : [15-Apr-2023 shift 1]
In potassium ferrocyanide, there are _______ pairs of electrons in the set of orbitals. [10-Apr-2023 shift 1]
A trisubstituted compound ' ', gives neutral test positive. Treatment of compound ' ' with and gives , with hydroiodic acid gives methyl iodide and with hot conc. gives a compound . Compound 'A' also
Following chromatogram was developed by adsorption of compound ' ' on a TLC glass plate. Retardation factor of the compound ' ' is . [29-Jan-2023 Shift 1]
For a reversible reaction , the . The activation energy of the uncatalysed forward reaction is . When the reaction is catalysed keeping the reactant concentration same, the rate of the catalyzed forwa
The correct order of values for the following compounds is: [30-Jan-2023 Shift 2]
The incorrect statement regarding the reaction given below is [12-Apr-2023 shift 1]
Which of the following options are correct for the reaction A. Redox reactionB. Displacement reactionC. Decomposition reactionD. Combination reactionChoose the correct answer from the options given be
The logarithm of equilibrium constant for the reaction is _______ (Nearest integer). Given: . , . , [31-Jan-2023 Shift 1]
2-Methyl propyl bromide reacts with and gives ' ' whereas on reaction with it gives ' '. The mechanism followed in these reactions and the products ' ' and ' ' respectively are : [13-Apr-2023 shift 1]
An organic compound undergoes first order decomposition. If the time taken for the decomposition is , then the time required for decomposition will be is ______ S. (Nearest integer).Given : [30-Jan-20
Match List I with List II List I Complex List I Colour A. I. Brown B. II. White C. III. Yellow D. IV. blueChoose the correct answer from the options given below: [11-Apr-2023 shift 2]
Following tetrapeptide can be represented as(F, L, D, Y, I, Q, P are one letter codes for amino acids) [29-Jan-2023 Shift 2]
The most stable carbocation for the following is: [30-Jan-2023 Shift 2]
If is replaced by in the complex , which of the following properties are expected to get changed?A. GeometryB. Geometrical isomerismC. Optical isomerismD. Magnetic properties [11-Apr-2023 shift 2]
Millimoles of calcium hydroxyide required to produce of the aqueous solution of is . The value of is _______(Nearest integer).Assume complete dissociation. [29-Jan-2023 Shift 1]
Given (A) (B) (graphite) The for the reaction is [10-Apr-2023 shift 1]
Testosterone, which is a steroidal hormone, has the following structure.The total number of asymmetric carbon atom in testosterone is ________. [1-Feb-2023 Shift 2]
Group-13 elements react with in amorphous form to form oxides of type ( element). Which among the following is the most basic oxide? [6-Apr-2023 shift 2]
Consider the following pairs of solution which will be isotonic at the same temperature. The number of pairs of solutions is/are..........A. aq. and aq. UreaB. aq. and aq. C. aq. and aq. D. aq. and aq
Following figure shows spectrum of an ideal black body at four different temperatures. The number of correct statement/s from the following is___ A. B. The black body consists of particles performing
at room temperature is a: [13-Apr-2023 shift 1]
The vapour pressure of aqueous solution of glucose is _______ at .[Given : The density of , aqueous solutions of glucose is and vapour pressure of pure water is .](Molar mass of glucose is ) [15-Apr-2
The major product for the following reaction is : [13-Apr-2023 shift 2]
In chromyl chloride, the number of d-electrons present on chromium is same as in (Given at no. of Ti : 22, V: [8-Apr-2023 shift 1]
An indicator ' ' is used for studying the effect of variation in concentration of iodide on the rate of reaction of iodide ion with at room temp. The indicator ' ' forms blue colored complex with comp
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.Assertion A : absorbs at lower wavelength of light with respect to Reason R : It is because the wav
A compound ' ' when treated with phthalic anhydride in presence of concentrated yields ' ' ' ' is used as an acid/base indicator. ' ' and ' ' are respectively: [8-Apr-2023 shift 2]
of is mixed with of . The of the mixture is _______ . (Nearest integer)[Given [30-Jan-2023 Shift 1]
The major product ' ' formed in the given reaction is: [10-Apr-2023 shift 2]
The dissociation constant of acetic is . When of solution is mixed with of solution, the of the resultant solution is found to be equal to 5 . The value of is___ [24-Jan-2023 Shift 1]
is . The value of is _______ [10-Apr-2023 shift 1]
The ratio on completion of the above reaction is [11-Apr-2023 shift 1]
The pair from the following pairs having both compounds with net non-zero dipole moment is [10-Apr-2023 shift 1]
A solution of sugar is obtained by mixing of its solution and of its solution (both by mass). The mass percentage of the resulting sugar solution is _______ (Nearest integer) [11-Apr-2023 shift 1]
Match List I with List II:Choose the correct answer from the options given below: [8-Apr-2023 shift 1]
Which of the following elements have half-filled f-orbitals in their ground state?(Given : atomic number A. B. C. D. GdE. Choose the correct answer from the options given below: [31-Jan-2023 Shift 2]
Which one amongst the following are good oxidizing agents?A. B. C. D. Choose the most appropriate answer from the options given below: [24-Jan-2023 Shift 2]
Among the following, the number of compounds which will give positive iodoform reaction is___(a) 1-Phenylbutan-2-one(b) 2-Methylbutan-2-ol(c) 3-Methylbutan-2-ol(d) 1-Phenylethanol(e) 3,3-dimethylbutan
Formulae for Nessler's reagent is: [30-Jan-2023 Shift 2]
The oxidation sate of phosphorus in hypophosphoric acid is + ________.. [31-Jan-2023 Shift 1]
The number of molecules which gives haloform test among the following molecules is [31-Jan-2023 Shift 2]
The correct group of halide ions which can be oxidized by oxygen in acidic medium is [13-Apr-2023 shift 2]
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)Assertion (A) : The first ionization enthalpy of series elements is more than that of group 2 m
The correct order of bond enthalpy is : [1-Feb-2023 Shift 2]
How many of the following metal ions have similar value of spin only magnetic moment in gaseous state?________ (Given: Atomic number: V, ; [25-Jan-2023 Shift 1]
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.Assertion A : Butan-1-ol has higher boiling point than ethoxyethane.Reason R : Extensive hydrogen b
The descending order of acidity for the following carboxylic acid is -A. B. C. D. Choose the correct answer from the options given below: [8-Apr-2023 shift 2]
Sulphur containing amino acids from the following are:(a) isoleucine(b) cysteine(c) lysine(d) methionine(e) glutamic acid [8-Apr-2023 shift 1]
On complete combustion, of an organic compound gave of .The of carbon in the organic compound is _______ (Nearest integer) [31-Jan-2023 Shift 1]
One mole of an ideal gas at is in a vessel of thermally conducting walls, which are in contact with the surroundings. It undergoes isothermal reversible expansion from to against a constant pressure o
Match List I with List II List I Enzymatic reaction List II Enzyme A Sucrose → Glucose andFructose I. Zymase B Glucose → ethyl alcohol and II. Pepsin C Starch Maltose III. Invertase D Proteins Amino a
Let be a differentiable function such that with and . Consider the following two statements : (A) : , for all (B) : , for all Then, [11-Apr-2023 shift 1]
Let the solution curve , of the differential equation (cos satisfy . If , where and are co-prime, then is equal to [8-Apr-2023 shift 2]
The number of points where the curve cuts -axis, is equal to _______ [11-Apr-2023 shift 2]
Let the tangent at any point on a curve passing through the points and , intersect positive axis and -axis at the points and respectively. If and is the solution of the differential equation , then th
Let and . If denotes the number of elements in then : [1-Feb-2023 Shift 2]
The number of permutations of the digits without repetition, which neither contain the string 153 nor the string 2467 , is _______. [10-Apr-2023 shift 1]
Let , where for all and . Let a be the sum of all diagonal elements of and . Then is equal to : [6-Apr-2023 shift 1]
If be a continuous function satisfying , then the value of is [11-Apr-2023 shift 2]
The number of real solutions of the equation , is [24-Jan-2023 Shift 2]
Let the set .Then is equal to___ [29-Jan-2024 Shift 2]
Let be a solution of the differential . If , then is equal to _______. [6-Apr-2023 shift 1]
If and then the value of is equa to ________. [1-Feb-2023 Shift 1]
If [t denotes the greatest integer , then the value of of is : [30-Jan-2023 Shift 1]
Let and be the greatest integer . Then the number of points, where the function is not differentiable, is [6-Apr-2023 shift 1]
Let be the area of the region Then is equal to [30-Jan-2023 Shift 2]
If , then the least value of is: [10-Apr-2023 shift 1]
For some , let and . If then (fog) (b) is equal to ________. [25-Jan-2023 Shift 1]
Let the probability of getting head for a biased coin be . It is tossed repeatedly until a head appears. Let be the number of tosses required. If the probability that the equation has no real root is
Let the mean of the data 1 3 5 7 9 Frequency (f) 4 24 28 8be 5 . If and are respectively the mean deviation about the mean and the variance of the data, then is equal to _____. [13-Apr-2023 shift 1]
Let the line intersect the plane at the point P. Let the point be the foot of perpendicular from the point on the line . If is the area of triangle . then is equal to ________. [31-Jan-2023 Shift 1]
The number of triplets , where are distinct non negative integers satisfying , is : [11-Apr-2023 shift 1]
The number of five digit numbers, greater then 40000 and divisible by 5 , which can be formed using the digits and 9 without repetition, is equal to [12-Apr-2023 shift 1]
Let be a function defined by , and . Consider two statements(I) is an increasing function in (II) is one-one in Then, [25-Jan-2023 Shift 1]
Let be a function such that . Then is equal to : [1-Feb-2023 Shift 2]
Let and , Then and are roots of the equation. [24-Jan-2023 Shift 1]
Let sets and have 5 elements each. Let mean of the elements in sets and be 5 and 8 respectively and the variance of the elements in sets and be 12 and 20 respectively. A new set of 10 elements is form
Let a line pass through the point and be parallel to the line . If the distance of from the point is , then is equal to _______. [30-Jan-2023 Shift 2]
An organization awarded 48 medals in event ' ', 25 in event ' ' and 18 in event ' '. If these medals went to total 60 men and only five men got medals in all the three events, then, how many received
For , the number of solutions of the equation is equal to ________. [13-Apr-2023 shift 2]
Among(S1): (S2): [13-Apr-2023 shift 1]
If then equal to [24-Jan-2023 Shift 2]
The number of integral values of , for which one root of the equation lies in the interval and its other root lies in the interval , is: [1-Feb-2023 Shift 2]
Let be the maximum integral value of in for which the roots of the equation are rational. Then the area of the region is [30-Jan-2023 Shift 2]
is equal to [6-Apr-2023 shift 2]
Let the line passing through the point and meet the plane at the point . Then the distance of the point from the plane measured parallel to the line is equal to [11-Apr-2023 shift 2]
Let be a function satisfying . Then is equal to : [6-Apr-2023 shift 2]
The value of the integral is : [29-Jan-2023 Shift 2]
For the system of linear equations which of the following is NOT correct ? [10-Apr-2023 shift 1]
The slope of tangent at any point on a curve is . If , then a value of is: [10-Apr-2023 shift 1]
If are two values of such that the angle between the planes and is , then the square of the length of perpendicular from the point to the plane is _______. [30-Jan-2023 Shift 1]
The area enclosed by the closed curve given by the differential equation is .Let and be the points of intersection of the curve and the -axis. If normals at and on the curve intersect -axis at points
The sum of all the four-digit numbers that can be formed using all the digits is equal to ________. [10-Apr-2023 shift 2]
If the set is equal to the interval , then is equal to [15-Apr-2023 shift 1]
Let .If , then is equal to [25-Jan-2023 Shift 1]
The shortest distance between the lines and is [25-Jan-2023 Shift 2]
If the area of the region is equal to , then the natural number is equal to ________. [6-Apr-2023 shift 1]
The shortest distance between the lines and is [8-Apr-2023 shift 1]
Let the function be defined as where denotes the greatest integer less than or equal to . Then the value of the integral is [11-Apr-2023 shift 2]
Let and be a relation on the set defined by . Then the number of elements in is ________ [15-Apr-2023 shift 1]
If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which and do not come together, is , is equal to [8-Apr-2023 shift 2]
Let the equation of the plane P containing the line be and the distance of the plane from the point be c. Then is equal to ________. [29-Jan-2023 Shift 1]
Let and be the real valued functions defined on as , and , where is the greatest integer . Then the value of is [30-Jan-2023 Shift 2]
If is the solution curve of the differential equation , , then is equal to [1-Feb-2023 Shift 1]
If the foot of the perpendicular drawn from , 7) to the line passing through the point and parallel to the planes and is , then is equal to [24-Jan-2023 Shift 2]
The shortest distance between the lines and is [1-Feb-2023 Shift 1]
Let denote the greatest integer . Then is equal to _______. [13-Apr-2023 shift 2]
For , let . If , then is equal to _______. [11-Apr-2023 shift 1]
Let be the mean and be the standard deviation of the distribution 0 1 2 3 4 5 2k where . If denotes the greatest integer , then is equal to [10-Apr-2023 shift 2]
If all the six digit numbers with are arranged in the increasing order, then the sum of the digits in the number is _______. [29-Jan-2023 Shift 1]
If are the roots of the equation , and , then is equal to [8-Apr-2023 shift 2]
Let be the point obtained by the rotation of about the origin through a right angle in the anticlockwise direction, and be the point obtained by the rotation of about the origin through a right angle
The area of the region is: [13-Apr-2023 shift 2]
In a binomial distribution , the sum and product of the mean & variance are 5 and 6 respectively, then find is equal to :- [1-Feb-2023 Shift 1]
Let be the roots of the equation and .Then is equal to _______. [29-Jan-2023 Shift 2]
The mean and variance of 7 observations are 8 and 16 respectively. If one observation 14 is omitted a and are respectively mean and variance of remaining 6 observation, then is equal to _______. [30-J
The number of 4-letter words, with or without meaning, each consisting of 2 vowels and 2 consonants, which can be formed from the letters of the word UNIVERSE without repetition is _______ : [6-Apr-20
Let and be the relation defined on A such that is odd positive integer or . The minimum number of elements that must be aadded to the relation , so that it is a symmetric relation, is equal to ______.
Fifteen football players of a club-team are given 15 T-shirts with their names written on the backside. If the players pick up the -shirts randomly, then the probability that at least 3 players pick t
Let be a matrix such that . Then is equal to [24-Jan-2023 Shift 2]
If the mean of the frequency distribution Class: 0-10 10-20 20-30 30-40 40-50 Frequency: 2 3 x 5 4is 28 , then its variance is _______. [10-Apr-2023 shift 1]
A bag contains 6 balls. Two balls are drawn from it at random and both are found to be black. The probability that the bag contains at least 5 black balls is [31-Jan-2023 Shift 1]
The complex number is equal to: [31-Jan-2023 Shift 2]
The area bounded by the curves and is equal to : [6-Apr-2023 shift 2]
The number of words, with or without meaning, that can be formed using all the letters of the word ASSASSINATION so that the vowels occur together, is ________. [1-Feb-2023 Shift 1]
Let be a function such that for all . If and , then the value of is [24-Jan-2023 Shift 2]
Let . The number of nonempty subsets of that have the sum of all elements a multiple of 3 , is _______. [25-Jan-2023 Shift 1]
Let and . Total number of onto functions such that , is equal to _______. [8-Apr-2023 shift 2]
The domain of the function is (where denotes the greatest integer less than or equal to ) [11-Apr-2023 shift 2]
Let be the solution of the differential equation 1 with . Then is equal to [15-Apr-2023 shift 1]
If the system of equations has infinitely many solutions, then is equal to [13-Apr-2023 shift 2]
Let be the solution of the differential equation . If , then is equal to [29-Jan-2023 Shift 2]
One vertex of a rectangular parallelepiped is at the origin and the lengths of its edges along and axes are 3,4 and 5 units respectively. Let be the vertex . Then the shortest distance between the dia
A coin is biased so that the head is 3 times as likely to occur as tail. This coin is tossed until a head or three tails occur. If denotes the number of tosses of the coin, then the mean of is- [13-Ap
The point of intersection of the plane and the line joining the points and divides the line segment internally in the ratio . If are coprime) are the direction ratios of the perpendicular from the poi
The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on, it was observed that one observation was recorded as 50 instead of 40 . Then the correct variance is [15-Apr-202
If the value of real number for which and have a common real roots is then is equal to ________. [30-Jan-2023 Shift 2]
Let denote the greatest integer . Consider the function . Then the value of the integral is: [29-Jan-2023 Shift 1]
The minimum value of the function is is [25-Jan-2023 Shift 1]
Two dice are thrown independently. Let A be the event that the number appeared on the die is less than the number appeared on the die, be the event that the number appeared on the die is even and that
Let be a solution of the differential equation Where, and . Then [25-Jan-2023 Shift 2]
Let be the circle in the complex plane with centre and radius . Let and the complex number be outside the circle such that . If and are collinear, then the smaller value of is equal to [12-Apr-2023 sh
If an unbiased die, marked with on its faces, is through five times, then the probability that the product of the outcomes is positive, is : [30-Jan-2023 Shift 1]
The number of real roots of the equation , is: [31-Jan-2023 Shift 1]
The area of the region is. [8-Apr-2023 shift 1]
A pair of dice is thrown 5 times. For each throw, a total of 5 is considered a success. If probability of at least 4 successes is , then is equal to : [6-Apr-2023 shift 1]
Let be the largest interval for which holds. If and , then is equal to : [31-Jan-2023 Shift 2]
If are the roots of the equation, and , then [27-Jan-2024 Shift 2]
The integral is equal to [8-Apr-2023 shift 2]
For , let and . The among the two statements:(S1) : If , then the set A contains all the real numbers(S2) : If , then the set contains all the real numbers, [11-Apr-2023 shift 2]
If , then is equal to: [31-Jan-2023 Shift 2]
If the solution curve of the differential equation , passes through the points and , then is equal to : [6-Apr-2023 shift 2]
If constant, then is equal to _______. [30-Jan-2023 Shift 2]
Let be the set of all values of for which the mean deviation about the mean of 100 consecutive positive integers is 25 . Then is [30-Jan-2023 Shift 2]
Let be the values of for which the points and are at equal distance from the plane . If , then the distance of the point from the line is ________. [8-Apr-2023 shift 1]
If and are two non-zero matrics such that , then [24-Jan-2023 Shift 1]
Let be the area of the region . Then is equal to [29-Jan-2023 Shift 1]
The total number of three-digit numbers, divisible by 3 , which can be formed using the digits , if repetition of digits is allowed, is [15-Apr-2023 shift 1]
For the differentiable function , let , then is equal to [13-Apr-2023 shift 1]
Let and be distinct integers where and . Then, the number of ways of choosing and , such that is divisible by 5 , is _______. [25-Jan-2023 Shift 1]
If the variance of the frequency distribution 2 3 4 5 6 7 8 Frequency 3 6 16 α 9 5 6 [31-Jan-2023 Shift 1]
The foot of perpendicular from the origin to a plane which meets the co-ordinate axes at the points is . If the volume of the tetrahedron is , then which of the following points is NOT on P? [31-Jan-2
The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48 , is [29-Jan-2023 Shift 2]
The number of the relations, on the set containing and , which are reflexive and transitive but not symmetric, is ________. [12-Apr-2023 shift 1]
Let the plane meet the co-ordinate axes at the points A, B, C. If the orthocenter of the triangle is , then is equal to _______. [12-Apr-2023 shift 1]
Let denote the greatest integer function and . Let be the number of points in , where is not continuous and be the number of points in , where is not differentiable. Then is equal to [15-Apr-2023 shif
Let the line L pass through the point , intersect the line and be parallel to the plane . Then the distance of the point from the line is : [6-Apr-2023 shift 2]
A triangle is formed by - axis, - axis and the line . Then the number of points , b)which lie strictly inside the triangle, where a is an integer and is a multiple of , is ________. [25-Jan-2023 Shift
Let for . If , then is equal to [13-Apr-2023 shift 2]
Let be the point of intersection of the line and the plane . If the distance of the point from the plane is , then and are the roots of the equation : [10-Apr-2023 shift 1]
For the system of equations , which one of the following is NOT true : [6-Apr-2023 shift 2]
The foot of perpendicular of the point on the line is . Then. Which of the following is NOT correct? [25-Jan-2023 Shift 2]
If the shortest distance between the line joining the points and , and the line is , then is equal to _______. [25-Jan-2023 Shift 2]
Number of 4-digit numbers that are less than or equal to 2800 and either divisible by 3 or by 11 , is equal to ________. [31-Jan-2023 Shift 1]
A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can choose at most two language courses, then the number of ways he can choose five cou
If the system of equations has infinitely many solutions, then the ordered pair is equal to [24-Jan-2023 Shift 2]
Let . If , then is equal to [12-Apr-2023 shift 1]
Let Then at is equal to [25-Jan-2023 Shift 1]
For , if , where and is constant of integration, then is equal to [10-Apr-2023 shift 2]
If , then at is equal to: [6-Apr-2023 shift 1]
= [13-Apr-2023 shift 1]
The number of square matrices of order 5 with entries from the set , such that the sum of all the elements in each row is 1 and the sum of all the elements in each column is also 1 , is [24-Jan-2023 S
The relation is: [24-Jan-2023 Shift 1]
Let be the solution of the differential equation , Then is equal to [24-Jan-2023 Shift 1]
The set of all for which the equation has exactly one real root, is [13-Apr-2023 shift 1]
is equal to _______. [30-Jan-2023 Shift 1]
The distance of the point from the plane measured parallel to the line is [24-Jan-2023 Shift 1]
If a plane passes through the points , and is parallel to the line , then the value of is [30-Jan-2023 Shift 2]
The number of 9 digit numbers, that can be formed using all the digits of the number 123412341 so that the even digits occupy only even places, is__ [24-Jan-2023 Shift 1]
The value of the integral is equal to [29-Jan-2023 Shift 2]
The number of symmetric matrices of order 3 , with all the entries from the set , is [13-Apr-2023 shift 1]
The line, that is coplanar to the line , is [13-Apr-2023 shift 2]
Let be the roots of the equation , Then is equal to [13-Apr-2023 shift 2]
The number of numbers, strictly between 5000 and 10000 can be formed using the digits without repetition, is [25-Jan-2023 Shift 2]
If the system of linear equations has infinitely many solutions, then is equal to: [11-Apr-2023 shift 2]
If , then is equal to ______. [12-Apr-2023 shift 1]
For the system of linear equations which of the following is NOT true? [31-Jan-2023 Shift 1]
If the system of equations has infinitely many solutions, then is equal to : [6-Apr-2023 shift 1]
Let and . The number of elements in the relation A: is ______. [6-Apr-2023 shift 1]
Let be a relation defined on as a b is is a multiple of . Then is [29-Jan-2023 Shift 2]
Let denote the greatest integer . The dx is equal to [8-Apr-2023 shift 1]
Let . Then is equal to _________ [13-Apr-2023 shift 2]
Let . Then the number of possible functions such that for every with is equal to _______. [30-Jan-2023 Shift 2]
If the lines and intersect, then the magnitude of the minimum value of is _______. [6-Apr-2023 shift 2]
Let be the domain of the function . If the range of the function defined by is the greatest integer function , is , then is equal to [12-Apr-2023 shift 1]
of the population are smokers. A smoker has 27 times more chances to develop lung cancer then a non-smoker. A person is diagnosed with lung cancer and the probability that this person is a smoker is .
If the domain of the function is , then is equal to [15-Apr-2023 shift 1]
Let is a real number . Then which of the following is NOT correct? [10-Apr-2023 shift 2]
The absolute minimum value, of the function , where denotes the greatest integer function, in the interval , is : [31-Jan-2023 Shift 2]
Let the quadratic curve passing through the point and touching the line at be . Then the -intercept of the normal to the curve at the point in the first quadrant is ______. [10-Apr-2023 shift 2]
Let and . Then the number of elements in the relation divides and divides is [10-Apr-2023 shift 2]
The total number of 4-digit numbers whose greatest common divisor with 54 is 2 , is ______. [29-Jan-2023 Shift 2]
Area of the region is : [11-Apr-2023 shift 1]
The equation has: [31-Jan-2023 Shift 2]
Let time image of the point in the plane passing through the points and be . Then is equal to [10-Apr-2023 shift 2]
Let be the event that the absolute difference between two randomly choosen real numbers in the sample space is less than or equal to a If , then is equal to _______. [31-Jan-2023 Shift 2]
Let Then, at , [31-Jan-2023 Shift 1]
Let . Then the sum of the diagonal elements of the matrix is equal to: [31-Jan-2023 Shift 1]
The number of points, where the curve crosses the -axis is _______ : [6-Apr-2023 shift 2]
Let be the roots of the quadratic equation . Then is equal to [12-Apr-2023 shift 1]
If the mean and variance of the frequency distribution. 2 4 6 8 10 12 14 16 4 4 α 15 8 β 4 5are 9 and 15.08 respectively, then the value of is ________ : [6-Apr-2023 shift 2]
Let , where and denotes the greatest integer less than or equal to . Then, is : [11-Apr-2023 shift 1]
Let be the sample space associated to a random experiment. Let .Let and . Then is equal to [29-Jan-2023 Shift 2]
If where and are coprime then is equal to ________. [1-Feb-2023 Shift 1]
If the letters of the word MATHS are permuted and all possible words so formed are arranged as in a dictionary with serial number, then the serial number of the word THAMS is [11-Apr-2023 shift 2]
The value of is [24-Jan-2023 Shift 1]
A fair faces die is rolled repeatedly until a number less than appears. If the mean of the number of tosses required is , then is equal to _______. [12-Apr-2023 shift 1]
Let the image of the point in the plane be . If the coordinates of the point are , . then the square of the area of the triangle is _______. [6-Apr-2023 shift 1]
Let and . Let be a relation defined on such that )): and . Then the number of elements in the set is [11-Apr-2023 shift 2]
Let and Then is equal to _______. [29-Jan-2023 Shift 2]
A bag contains six balls of different colours. Two balls are drawn in succession with replacement. The probability that both the balls are of the same colour is p. Next four balls are drawn in success
is equal to :- [1-Feb-2023 Shift 1]
Let be the plane passing through the line and the point . If the image of the point in the plane is then is equal to [8-Apr-2023 shift 2]
If the sum of all the solutions of , is , then is equal to _______. [25-Jan-2023 Shift 1]
The value of is equal to [31-Jan-2023 Shift 1]
The plane, passing through the points and and parallel to the line passing through and , also passes through the point [13-Apr-2023 shift 2]
If , then is equal to ______. [1-Feb-2023 Shift 2]
If the probability that the random variable takes values is given by , where is a constant, then is equal to [8-Apr-2023 shift 2]
The number of real roots of the equation , is [15-Apr-2023 shift 1]
Let denote the greatest integer function. If , then is equal to _______. [8-Apr-2023 shift 2]
Let denote the power set of . Define the relations and on as if and if . Then : [1-Feb-2023 Shift 2]
The value of is____ [24-Jan-2023 Shift 1]
Let the mean and variance of 12 observations be and 4 respectively. Later on, it was observed that two observations were considered as 9 and 10 instead of 7 and 14 respectively. If the correct varianc
Consider the lines and given by A line having direction ratios , intersects and at the points and respectively. Then the length of line segment PQ is [25-Jan-2023 Shift 1]
Let . The number of matrices A such that the sum of all entries is a prime number is _______. [31-Jan-2023 Shift 2]
Let be the solution of the differential equation . If , then is equal to [11-Apr-2023 shift 2]
Let a differentiable function satisfy . Then is equal to: [31-Jan-2023 Shift 1]
If is the greatest term in the sequence , then a is equal to ______. [8-Apr-2023 shift 1]
Let the system of linear equations have infinitely many solutions. Then the system [30-Jan-2023 Shift 1]
Let be a symmetric matrix such that and . If the sum of the diagonal elements of is s, then is equal to ________. [29-Jan-2023 Shift 2]
If is a real matrix such that , where , then [30-Jan-2023 Shift 2]
For all on the curve , let the locus of the point be the curve . Then [31-Jan-2023 Shift 1]
Let and be the numbers of real roots of the quadratic equations and respectively, where denotes the greatest integer . Then is equal to [8-Apr-2023 shift 2]
Let and Then is equal to [25-Jan-2023 Shift 1]
If is the area in the first quadrant enclosed by the curve , the tangent to at the point and the line , then the value of is ________. [11-Apr-2023 shift 2]
If the equation of the plane passing through the line of intersection of the planes and parallel to the line is , then is equal to : [6-Apr-2023 shift 1]
Let two vertices of a triangle be and , and its centroid be . If the image of the third vertex in the plane is , then is equal to : [10-Apr-2023 shift 1]
Let the area enclosed by the lines and the curve where denotes the greatest integer , be . Then the value of is _______. [8-Apr-2023 shift 2]
The area enclosed by the curves and is : [24-Jan-2023 Shift 1]
The minimum number of elements that must be added to the relation on the set so that it becomes symmetric and transitive is: [30-Jan-2023 Shift 1]
The number of 3 -digit numbers, that are divisible by either 2 or 3 but not divisible by 7 is _______. [1-Feb-2023 Shift 1]
The equation , where denotes the greatest integer function, has: [24-Jan-2023 Shift 1]
The range of is [13-Apr-2023 shift 2]
Let and be twice differentiable functions on such that Then which of the following is NOT true? [29-Jan-2023 Shift 2]
Let . Then is equal to [8-Apr-2023 shift 1]
The random variable follows binomial distribution , for which the difference of the mean and the variance is 1 . If , then is equal to [13-Apr-2023 shift 2]
If the function is continuous at , then is equal to [25-Jan-2023 Shift 2]
If , then is equal to [31-Jan-2023 Shift 1]
If the equation of the plane passing through the point and perpendicular to the line is , then is equal to _______. [30-Jan-2023 Shift 1]
The domain of is [29-Jan-2023 Shift 1]
If and are the roots of the equation , then the value of is equal to ________. [11-Apr-2023 shift 1]
is equal to [24-Jan-2023 Shift 2]
Let the plane P: be rotated by an angle about its line of intersection with the plane . If is the distance of the point from the new position of the plane , then is equal to [12-Apr-2023 shift 1]
If the functions and have a common extreme point, then is equal to [30-Jan-2023 Shift 2]
Let the image of the point in the plane be . If the distance of the point , , from is 13 , then is equal to ________. [13-Apr-2023 shift 1]
is equal to [25-Jan-2023 Shift 2]
If , then is equal to _______. [13-Apr-2023 shift 1]
Let the positive numbers and in a G.P. Let their mean and variance be and respectively, where and are co-prime. If the mean of their reciprocal is and , then is equal to ______. [12-Apr-2023 shift 1]
The number of ways of selecting two numbers a and b, and such that 2 is the remainder when is divided by 23 is [30-Jan-2023 Shift 2]
Let the plane P pass through the intersection of the planes and , and be perpendicular to the plane . If is the distance of from the point , then is equal to : [1-Feb-2023 Shift 2]
The value of the integral is: [1-Feb-2023 Shift 2]
If the lines and intersects at the point , then the distance of the point from the plane is : [29-Jan-2023 Shift 2]
Let be the solution of the differential equation . Then is equal to [29-Jan-2023 Shift 1]
Let a curve pass through the points and . If the tangent at any point to the given curve cuts the -axis at the points such that bc , then is equal to _______ : [6-Apr-2023 shift 2]
The distance of the point from the plane passing through the points and is : [24-Jan-2023 Shift 1]
The solution of the differential equation [30-Jan-2023 Shift 2]
If the domain of the function is , then is equal to ________. [10-Apr-2023 shift 2]
The mean and standard deviation of the marks of 10 students were found to be 50 and 12 respectively, Later, it was observed that two marks 20 and 25 were wrongly read as 45 and 50 respectively. Then t
Let the mean and standard deviation of marks of class A of 100 students be respectively 40 and , and the mean and standard deviation of marks of class B of students be respectively 55 and . If the mea
If , where and are coprime natural numbers, then is equal to ________. [25-Jan-2023 Shift 2]
If and , then is equal to : [10-Apr-2023 shift 1]
Let and let the equation be . Then the largest element in the set is an integer solution of is [24-Jan-2023 Shift 1]
Let be two real numbers such that . If the complex number is of unit modulus and lies on the circle , then a possible value of , where is greatest integer function, is : [1-Feb-2023 Shift 2]
There rotten apples are mixed accidently with seven good apples and four apples are drawn one by one without replacement. Let the random variable denote the number of rotten apples. If and represent m
Let and . Let .Then the integral is equal to [31-Jan-2023 Shift 1]
Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple in a match, is 840 , then the total numbers of persons, who participated in the to
The area of the region given by is : [1-Feb-2023 Shift 2]
If the area of the region bounded by the curves is , then is equal to [24-Jan-2023 Shift 2]
Let , be a function which satisfies . Then is equal to [29-Jan-2023 Shift 1]
If the area of the region is , then is equal to ______. [10-Apr-2023 shift 2]
Let be matrices such that is symmetric and B and are skew-symmetric.Consider the statements is symmetric(S2) is symmetricThen. [25-Jan-2023 Shift 2]
Let denote the number that turns up when a fair die is rolled. If the probability that the system of equations has unique solution is , then the sum of value of and all possible values of is [24-Jan-2
The value of is [1-Feb-2023 Shift 1]
Let denote the sum of the numbers obtained when two dice are rolled. If the probability that ! is , where and are coprime, then equal to : [10-Apr-2023 shift 1]
If , then : [1-Feb-2023 Shift 2]
Let . be consecutive natural numbers. Then is equal to [30-Jan-2023 Shift 2]
Let the area of the region be A. Then is equal to ______. [31-Jan-2023 Shift 2]
is equal to [30-Jan-2023 Shift 2]
Let and , . Then [1-Feb-2023 Shift 1]
Let be a matrix such that . If the determinant of the matrix . is , then is equal to ______. [31-Jan-2023 Shift 2]
Let ; Then at [24-Jan-2023 Shift 1]
Shortest distance between the lines and is [29-Jan-2023 Shift 2]
Let . Let be the circle of radius 1 in the first quadrant touching the line and the -axis. If the curve intersects at and , then is equal to _______. [13-Apr-2023 shift 1]
The sum of all the roots of the equation is : [6-Apr-2023 shift 1]
The mean and variance of 5 observations are 5 and 8 respectively. If 3 observations are , then the sum of cubes of the remaining two observations is [1-Feb-2023 Shift 1]
If for , then and are the roots of the equation [8-Apr-2023 shift 1]
Let be the solution curve of the differential equation , . Then is equal to : [25-Jan-2023 Shift 1]
Let , , where denotes greatest integer function. Then, [6-Apr-2023 shift 1]
The area of the region enclosed by the curve and its tangent at the point is [12-Apr-2023 shift 1]
Let the plane containing the line of intersection of the planes and pass through the points and . Then the distance of the point from the plane is [24-Jan-2023 Shift 2]
[13-Apr-2023 shift 1]
A wire of length is to be cut into two pieces.A piece of length is bent to make a square of area and the other piece of length is made into a circle of area . If is minimum then is equal to: [31-Jan-2
The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numbers are 14 and respectively. If the variance of all the 30 numbers in the two se
If the area bounded by the curve , lines and outside the circle is , then is equal to ________. [15-Apr-2023 shift 1]
Let , be a solution curve of the differential equation . If and , then [12-Apr-2023 shift 1]
Let the plane contain the line and be parallel to the line Then the distance of the point from the plane measured parallel to the line is equal to _______ [15-Apr-2023 shift 1]
Let . If , then is equal to : [31-Jan-2023 Shift 2]
The number of arrangements of the letters of the word "INDEPENDENCE" in which all the vowels always occur together is. [8-Apr-2023 shift 1]
The distance of the point from the line passing through the point and parallel to a line with direction ratios is equal to : [25-Jan-2023 Shift 1]
The total number of six digit numbers, formed using the digits only and divisible by 6 , is ______. [1-Feb-2023 Shift 2]
Let be the equation of a plane passing through the point and perpendicular to the line joining the points and . Then the value of is equal to ______. [1-Feb-2023 Shift 2]
If the center and radius of the circle are respectively and , then is equal to [1-Feb-2023 Shift 1]
Let denote the set of all real values of such that the system of equations is inconsistent, then is equal to [1-Feb-2023 Shift 1]
If , then is equal to [13-Apr-2023 shift 2]
Let the digits a, b, c be in A.P. Nine-digit numbers are to be formed using each of these three digits thrice such that three consecutive digits are in A.P. at least once. How many such numbers can be
Let be a root of the equation and Then where [. ] denotes greatest integer function, is [29-Jan-2023 Shift 1]
The value of is [24-Jan-2023 Shift 2]
Let and be real numbers. Consider a matrix such that . If , then [29-Jan-2023 Shift 1]
Let be in an A.P. with common difference . If the standard deviation of is 4 and the mean is , then is equal to : [1-Feb-2023 Shift 2]
If the solution curve of the differential equation passes through the points and , then is equal to ______. [8-Apr-2023 shift 1]
The value of is [13-Apr-2023 shift 2]
Let for and Then area bounded by the curve and the lines is equal to ________. [31-Jan-2023 Shift 1]
A square piece of tin of side is to be made into a box without top by cutting a square from each corner and folding up the flaps to form a box. If the volume of the box is maximum, then its surface ar
Let be the plane, passing through the point and perpendicular to the line joining the points and . Then the distance of from the point is [31-Jan-2023 Shift 2]
The sum of the abosolute maximum and minimum values of the function in the interval is equal to : [1-Feb-2023 Shift 2]
The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a series. Then the serial number of the word TOUGH is: [29-Jan-2023 Shift 2]
Let be the foot of perpendicular from the point on the line passing through the points and . Then the distance of from the plane is [13-Apr-2023 shift 2]
Consider the triangles with vertices and . If the maximum and the minimum perimeters of such triangles are obtained at and respectively, then is equal to ________ [15-Apr-2023 shift 1]
Let and . If is decreasing in the interval and increasing in the interval , then is equal to [10-Apr-2023 shift 2]
Let be a function such that . Then [29-Jan-2023 Shift 1]
Let For , define .If , then is equal to ________. [30-Jan-2023 Shift 1]
Three dice are rolled. If the probability of getting different numbers on the three dice is , where and are co-prime, then is equal to : [6-Apr-2023 shift 2]
Let 5 digit numbers be constructed using the digits with repetition allowed, and are arranged in ascending order with serial numbers. Then the serial number of the number 42923 is _______. [31-Jan-202
Let and .Then is equal to [1-Feb-2023 Shift 1]
If , then is equal to : [1-Feb-2023 Shift 2]
is equal to [24-Jan-2023 Shift 1]
Let be a differentiable function that satisfies the relation , . If , then is equal to ______ [29-Jan-2023 Shift 1]
The shortest distance between the lines and is equal to [24-Jan-2023 Shift 1]
Let Then [30-Jan-2023 Shift 1]
For , two real valued functions and are such that, and . Then is equal to [13-Apr-2023 shift 1]
Let . If , then is equal to : [6-Apr-2023 shift 1]
Let be the solution of the differential equation . Then is equal to [24-Jan-2023 Shift 2]
Let be a real number. Let be the roots of the equation and be the roots of the equation . Then and are the roots of the equation : [29-Jan-2023 Shift 1]
Let . If and , then is equal to [15-Apr-2023 shift 1]
If the equation of the plane that contains the point and is perpendicular to each of the planes and is then : [11-Apr-2023 shift 1]
Let and let be the roots of the equation . If , then the product of all possible values of a is ________. [25-Jan-2023 Shift 2]
The area of the region [29-Jan-2023 Shift 2]
If is a matrix and , then is equal to : [10-Apr-2023 shift 1]
Let . Then the relation is [8-Apr-2023 shift 2]
The number of elements in the set and is a multiple of 7 is ________ [15-Apr-2023 shift 1]
The integral is equal to [25-Jan-2023 Shift 2]
In a bolt factory, machines and C manufacture respectively and of the total bolts. Of their output 3, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random form the product. If t
Let be a complex number such that . Then lies on the circle of radius 2 and centre [25-Jan-2023 Shift 2]
If , then [24-Jan-2023 Shift 2]
Let be real valued function defined as . Then range of is [31-Jan-2023 Shift 2]
Let . If , then the sum of all the elements of the matrix is equal to [12-Apr-2023 shift 1]
Let be the set of values of , for which the system of equations has no solution. Then is equal to _______. [10-Apr-2023 shift 2]
Let be the area bounded by the curve , the -axis and the ordinates and . Then is equal to _______. [1-Feb-2023 Shift 1]
Let the image of the point in the plane be . Then the distance of the plane from the point is [1-Feb-2023 Shift 1]
Suppose is a function satisfying for all and . If , then is equal to ________ [29-Jan-2023 Shift 1]
Let the equation of the plane passing through the line and parallel to the line be . Then the distance of the point (a, b, c) from the plane is _______. [25-Jan-2023 Shift 1]
Let the number of elements in sets and be five and two respectively. Then the number of subsets of each having at least 3 and at most 6 elements is: [8-Apr-2023 shift 1]
The set of all values of a for which , where denotes the greater integer less than or equal to is equal to [24-Jan-2023 Shift 2]
Let be a differentiable function such that .. Then is equal to : [10-Apr-2023 shift 1]
For two non-zero complex number and , if and , then which of the following are possible ?(A) and (B) and (C) and (D) and Choose the correct answer from the options given below : [29-Jan-2023 Shift 1]
is equal to ______ [8-Apr-2023 shift 1]
Let and be respectively the sets of all for which the system of linear equations has unique solution and infinitely many solutions. Then [25-Jan-2023 Shift 1]
Let the six numbers be in A.P. and . If the mean of these six numbers and their variance is , then is equal to [24-Jan-2023 Shift 2]
Let the plane be parallel to the line . If the intercept of on the -axis is 1 , then the distance between and is : [31-Jan-2023 Shift 2]
The value of is : [25-Jan-2023 Shift 1]
Total numbers of 3-digit numbers that are divisible by 6 and can be formed by using the digits 1, 2, 3, 4, 5 with repetition, is _______. [13-Apr-2023 shift 2]
If then is equal to : [31-Jan-2023 Shift 2]
The mean and variance of the marks obtained by the students in a test are 10 and 4 respectively. Later, the marks of one of the students is increased from 8 to 12 . If the new mean of the marks is . t
The number of ways of giving 20 distinct oranges to 3 children such that each child gets at least one orange is _______. [6-Apr-2023 shift 1]
Among the relations And , [31-Jan-2023 Shift 2]
The minimum number of elements that must be added to the relation on the set so that it is an equivalence relation, is__ [24-Jan-2023 Shift 2]
The number of integers, greater than 7000 that can be formed, using the digits without repetition, is [24-Jan-2023 Shift 2]
Let is purely imaginary . Then the sum of the elements in is. [8-Apr-2023 shift 2]
Let be the area of the larger region bounded by the curve and the lines and , which lies in the first quadrant. Then the value of is equal to _______. [30-Jan-2023 Shift 1]
If the local maximum value of the function , is , then is equal to [12-Apr-2023 shift 1]
Let and . Then is equal to _______. [30-Jan-2023 Shift 1]
If , then are the roots of the equation [11-Apr-2023 shift 2]
All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial numbers. Then the serial number of the word PUBLIC is : [6-Apr-2023 shi
If the equation of the normal to the curve at the point is then the value of is equal to _______. [29-Jan-2023 Shift 2]
The number of seven digit positive integers formed using the digits 1, 2, 3 and 4 only and sum of the digits equal to 12 is _______. [13-Apr-2023 shift 1]
Let and be the solution curves of the differential equation with initial conditions and respectively. Then the curves and intersect at [13-Apr-2023 shift 1]
Number of 4-digit numbers (the repetition of digits is allowed) which are made using the digits 1, 2, 3 and 5 , and are divisible by 15 , is equal to _______ [30-Jan-2023 Shift 1]
A bag contains 6 white and 4 black balls. A die is rolled once and the number of ball equal to the number obtained on the die are drawn from the bag at random. The probability that all the balls drawn
Let the mean of 6 observations and and their variance be 10 . Then their mean deviation about the mean is equal to [11-Apr-2023 shift 2]
Let for where Then is equal to _______. [13-Apr-2023 shift 1]
Let be a differentiable function such that . If , then is equal to _______. [1-Feb-2023 Shift 1]
Let . Then the number of oneone functions , where denote the power set of S, such that where is ________. [30-Jan-2023 Shift 1]
Let . If , then is equal to [8-Apr-2023 shift 1]
If , then is equal to [10-Apr-2023 shift 2]
The line passes through the point and is perpendicular to the plane . Then the shortest distance between the line and the line is : [30-Jan-2023 Shift 1]
Let be a relation on , given by is an irrational number . Then is [1-Feb-2023 Shift 1]
All words, with or without meaning, are made using all the letters of the word MONDAY. These words are written as in a dictionary with serial numbers. The serial number of the word MONDAY is [13-Apr-2
Suppose be a differentiable function such that . If , then is equal to: [30-Jan-2023 Shift 1]
Let . Then is equal to : [6-Apr-2023 shift 1]
Let be defined by where denotes the greatest integer function. If and respectively are the number of points in at which is not continuous and not differentiable, then is equal to _______. [10-Apr-2023
Let and . Then the number of functions satisfying is equal to ________. [11-Apr-2023 shift 2]
For and , if is the radius of the circle , then is equal to _______ : [6-Apr-2023 shift 2]
The number of ways, in which 5 girls and 7 boys can be seated at a round table so that no two girls sit together, is [8-Apr-2023 shift 1]
Let be the plane passing through the points and . For , if the distances of the points and from the plane are 2 and 3 respectively, then the positive value of a is [11-Apr-2023 shift 2]
For the system of linear equations which of the following is NOT correct? [13-Apr-2023 shift 1]
is equal to [24-Jan-2023 Shift 1]
Number of integral solutions to the equation , where , is equal to _______. [1-Feb-2023 Shift 2]
Let be a local minima of the function . If is local maximum value of the function in , then [25-Jan-2023 Shift 1]
Let be a function defined by , for some , such that the range of is . Then the value of is _______ [25-Jan-2023 Shift 2]
Let be the solution of the differential equation , . Then equals : [1-Feb-2023 Shift 2]
Let the mean and variance of 8 numbers be 9 and 9.25 respectively. If , then is equal to ________. [8-Apr-2023 shift 1]
Consider the following system of questions For some . Then which of the following is NOT correct. [29-Jan-2023 Shift 1]
Let be the solution of the differential equation such that . then is equal to: [31-Jan-2023 Shift 2]
Let the complex number iy be such that is purely imaginary. If , then is equal to : [10-Apr-2023 shift 1]
If the domain of the function , where is greatest integer , is , then its range is [31-Jan-2023 Shift 1]
Let a die be rolled times. Let the probability of getting odd numbers seven times be equal to the probability of getting odd numbers nine times. If the probability of getting even numbers twice is , t
Let and . The set represents a [25-Jan-2023 Shift 1]
Let be the parabola passing through the points and . If the area of the region is , then is equal to _______. [10-Apr-2023 shift 1]
Let and or be a relation on . Then the minimum number of elements, that must be added to the relation so that it becomes reflexive and symmetric, is ________ [13-Apr-2023 shift 2]
Let be the image of the point in the plane . Then is equal to : [11-Apr-2023 shift 1]
Let be a square matrix such that . For , if and , then is equal to : [6-Apr-2023 shift 2]
Eight persons are tobe transported from city A to city B in three cars different makes. If each car can accomodate at most three persons, then the number of ways, in which they can be transported, is
Let , be the three roots of the equation . If , then is equal to [8-Apr-2023 shift 1]
Let the function have a maxima for some value of and a minima for some value of . Then, the set of all values of is [25-Jan-2023 Shift 2]
It the area enclosed by the parabolas and is equal to the area enclosed by and , then is equal to _______. [25-Jan-2023 Shift 1]
Suppose Anil's mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white apples and 8 oranges. If in the selected 5 fruits, at least 2 orange, at least one red apple and at le
The number of seven digits odd numbers, that can be formed using all the seven digits 1, 2, 2, 2,3,3,5 is _______. [30-Jan-2023 Shift 2]
Let be the maximum value of the product of two positive integers when their sum is 66 . Let the sample space and the event is a multiple of 3 . Then is equal to [25-Jan-2023 Shift 1]
A person forgets his 4-digit ATM pin code. But he remembers that in the code all the digits are different, the greatest digit is 7 and the sum of the first two digits is equal to the sum of the last t
Let and be two functions defined by and Then (gof) (x) is [11-Apr-2023 shift 2]
The shortest distance between the lines and is : [10-Apr-2023 shift 1]
The urns A, B and contain 4 red, 6 black; , 5 black and red, 4 black balls respectively. One of the urns is selected at random and a ball is drawn. If the ball drawn is red and the probability that it
The range of the function is [30-Jan-2023 Shift 2]
If , then is equal to [15-Apr-2023 shift 1]
The area of the region enclosed by the curve and the -axis is [13-Apr-2023 shift 1]
Let . Then is equal to [13-Apr-2023 shift 2]
Two dice and are rolled. Let numbers obtained on and be and respectively. If the variance of is , where and are co-prime, then the sum of the positive divisior of is equal to [12-Apr-2023 shift 1]
Let If then is equal to _______ [13-Apr-2023 shift 2]
Let the foot of perpendicular of the point on the plane passing through the points be . Then the distance of from the origin is [15-Apr-2023 shift 1]
Let . If , then is equal to [8-Apr-2023 shift 1]
Let be a continuous function satisfying . Then is is equal to [10-Apr-2023 shift 2]
The number of points on the curve at which the normal lines are parallel to is : [30-Jan-2023 Shift 1]
Let be two-zero real numbers. Then the number of elements in the set and is equal to : [6-Apr-2023 shift 2]
Let be a relation on defined by if and only if ad . Then is [31-Jan-2023 Shift 1]
[31-Jan-2023 Shift 2]
In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which none of the students sits on the allotted seat, is _______. [11-Apr-2023 shift 1]
The number of elements in the set is [10-Apr-2023 shift 1]
Let the determinant of a square matrix A of order be , where and satisfy and . If , then is equal to [15-Apr-2023 shift 1]
Let be a matrix with real entries such that , where . If , then the sum of all possible values of is equal to : [11-Apr-2023 shift 1]
The value of the integral is equal to : [11-Apr-2023 shift 1]
Let and . If , then is equal to ________. [12-Apr-2023 shift 1]
Let be the set of all solutions of the equation .Then is equal to [1-Feb-2023 Shift 1]
Let the lines and be coplanar. If the point on is nearest to the point , then is equal to [12-Apr-2023 shift 1]
Let be a solution curve of the differential equation. . If the line intersects the curve at and the line intersects the curve at , then a value of is : [11-Apr-2023 shift 1]
Let be a sample space and is invertible be an event. Then is equal to : [11-Apr-2023 shift 1]
Let be the plane and be the plane passing through the points , and , 1). If the foot of the perpendicular drawn from the point on the line of intersection of the planes and is , then is equal to _____
For the system of linear equations , , which one of the following statements is NOT correct? [1-Feb-2023 Shift 2]
Five digit numbers are formed using the digits 1,2 , with repetitions and are written in descending order with serial numbers. For example, the number 77777 has serial number 1. Then the serial number
If and , then is equal to : [8-Apr-2023 shift 2]
If domain of the function is , then, is equal to [8-Apr-2023 shift 2]
Let . If ( ..... upto times) (x), then is equal to _______. [6-Apr-2023 shift 2]
Let the system of linear equations has a unique solution . Then the distance of the point from the plane is [15-Apr-2023 shift 1]
Let , and , . Then the sum of all the positive integer divisors of is [25-Jan-2023 Shift 2]
Let be the sample space and be an event. Given below are two statements :(S1) : If , then : If , then Then [24-Jan-2023 Shift 1]
Let the line intersect the lines and at the points and respectively. Then the distance of the mid-point of the line segment from the plane 14 is [10-Apr-2023 shift 2]
Let . If , then is equal to _______. [11-Apr-2023 shift 2]
The number of functions satisfying is [25-Jan-2023 Shift 2]
For , suppose the system of linear equations has infinitely many solutions. Then and are the roots of [30-Jan-2023 Shift 2]
As shown in figure, a garden roller is pushed with a force of at an angle of with horizontal. The normal reaction on the roller is (Given ): [31-Jan-2023 Shift 1]
Under the same load, wire A having length and cross section stretches uniformly by the same amount as another wire B of length and a cross section of stretches. The ratio of the Young's modulus of wir
of a liquid is converted to vapour at pressure. If of the heat supplied is used for increasing the volume by during this phase change, then the increase in internal energy in the process will be : [24
Match List I with List II. List I List II A. Torque I. B. Energy density II. C. Pressure gradient III. D. Impulse IV. Choose the correct answer from the options given below : [30-Jan-2023 Shift 2]
Name the logic gate equivalent to the diagram attached [6-Apr-2023 shift 1]
The logic operations performed by the given digital circuit is equivalent to: [11-Apr-2023 shift 2]
A massless square loop, of wire of resistance . supporting a mass of I g. hangs vertically with one of its sides in a uniform magnetic field of , directed outwards in the shaded region. A dc voltage i
A body of mass is tied to a spring of spring constant , while the other end of spring is fixed at point . If the body moves about in a circular path on a smooth horizontal surface with constant angula
A capacitor of capacitance is charged by a battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such that one plate of uncharged capacitor con
When one light ray is reflected from a plane mirror with angle of reflection, the angle of deviation of the ray after reflection is: [11-Apr-2023 shift 2]
Considering a group of positive charges, which of the following statements is correct? [31-Jan-2023 Shift 2]
Two long straight wires and carrying equal current each were kept parallel to each other at distance. Magnitude of magnetic force experienced by length of wire is . If distance between wires is halved
Given below are two statements : one is labelled as Assertion and the other is labelled as Reason Assertion A : Diffusion current in a p-n junction is greater than the drift current in magnitude if th
The velocity time graph of a body moving in a straight line is shown in figure.The ratio of displacement to distance travelled by the body in time 0 to is [24-Jan-2023 Shift 2]
The weight of a body on the surface of the earth is . The gravitational force on it when taken at a height, from the surface of earth, equal to one-fourth the radius of the earth is : [6-Apr-2023 shif
If the distance of the earth from Sun is . Then the distance of an imaginary planet from Sun, if its period of revolution is years is: [24-Jan-2023 Shift 2]
A wire of length ' ' and radius ' ' is clamped rigidly at one end. When the other end of the wire is pulled by a force , its length increases by ' '. Another wire of same material of length ' ' and ra
A point charge is placed at origin. Another point charge is placed at . Charge of proton is . The proton is placed on -axis so that the electrostatic force on the proton in zero. In this situation,the
The surface tension of soap solution is . The amount of work done required to increase the radius of soap bubble from to is ________ . (take ) [11-Apr-2023 shift 2]
The current required to be passed through a solenoid of length and 60 turns in order to demagnetize a bar magnet of magnetic intensity is _______ A. [10-Apr-2023 shift 1]
A person driving car at a constant speed of is approaching a vertical wall. The person notices a change of in the frequency of his car's horn upon reflection from the wall. The frequency of horn is .
The average kinetic energy of a molecule of the gas is [1-Feb-2023 Shift 1]
A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational modes, the total internal energy of the system will be, [10-Apr-2023 shift 2]
A thin infinite sheet charge and an infinite line charge of respective charge densities and are placed parallel at distance from each other. Points ' ' and ' ' are at and perpendicular distances from
A disc is rolling without slipping on a surface. The radius of the disc is . At , the top most point on the disc is as shown in figure. When the disc completes half of its rotation, the displacement o
A particle of mass executes a simple harmonic motion under a periodic force x) N. The particle attains a maximum speed of during its oscillation. The amplitude of the motion is ________ . [29-Jan-2023
For three low density gases pressure versus temperature graphs are plotted while keeping them at constant volume, as shown in the figure.The temperature corresponding to the point ' ' is: [1-Feb-2023
In this figure the resistance of the coil of galvanometer is . The emf of the cell is . The ratio of potential difference across and is: [8-Apr-2023 shift 1]
In the figure given below. a block of mass placed on a frictionless table is connected with two springs having same spring constant . If the block is horizontally displaced through ' 'm then the numbe
In the network shown below, the charge accumulated in the capacitor in steady state will be : [13-Apr-2023 shift 2]
A projectile fired at to the ground is observed to be at same height at time and after projection, during its flight. The speed of projection of the projectile is _______ . Given ) [11-Apr-2023 shift
Which of the following statement is not correct in the case of light emitting diodes?A. It is a heavily doped junction.B. It emits light only when it is forward biased.C. It emits light only when it i
In an experiment to find emf of a cell using potentiometer, the length of null point for a cell of emf is found to be . If this cell is replaced by another cell of emf . the length-of null point incre
The half life of a radioactive substance is T. The time taken, for disintegrating th part of its original mass will be: [10-Apr-2023 shift 2]
The energy of an electromagnetic wave contained in a small volume oscillates with [10-Apr-2023 shift 1]
The radius of electron's second stationary orbit in Bohr's atom is . The radius of 3 rd orbit will be [31-Jan-2023 Shift 2]
A body is released from a height equal to the radius (r) of the earth. The velocity of the body when it strikes the surface of the earth will be :(Given acceleration due to gravity on the earth.) [15-
If a solid sphere of mass and a disc of mass 4 have the same radius. Then the ratio of moment of inertia of the disc about a tangent in its plane to the moment of inertia of the sphere about its tange
Given below are two statements :Statement-I : An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable.Statement-II : Force exerted by the floor of an
Two wires each of radius and negligible mass, one made of steel and the other made of brass are loaded as shown in the figure. The elongation of the steel wire is ______ . [Young's modulus for steel a
A physical quantity is given as The percentage error in the measurement of and are and respectively. The percentage error in the measurement of quantity will be [10-Apr-2023 shift 1]
A point charge is moved from to in a uniform electric field of directed along positive -axis. If coordinates of and are , and respectively, the work done by electric field will be [29-Jan-2023 Shift 2
Match the List I with List II List I List II A. generator I. Presence of both and B. Transformer II. ElectromagneticInduction C. Resonancephenomenonto occur III. Quality factor D. Sharpness of resonan
Given below are two statements: One is labelled as Assertion and the other is labelled as Reason . Assertion : The beam of electrons shows wave nature and exhibit interference and diffraction. Reason
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Two metallic spheres are charged to the same potential. One of them is hollow and an
The weight of a body on the earth is . Then weight of the body when taken to a depth half of the radius of the earth will be: [8-Apr-2023 shift 1]
The orbital angular momentum of a satellite is , when it is revolving in a circular orbit at height from earth surface. If the distance of satellite from the earth center is increased by eight times t
Two identical cells each of emf are connected in series across a resistance. An ideal voltmeter connected across resistance reads . The internal resistance of each cell is ________ . [11-Apr-2023 shif
A square shaped coil of area having 600 turns rotates in a magnetic field of , about an axis which is parallel to one of the side of the coil and perpendicular to the direction of field. If the coil c
The variation of kinetic energy of a particle executing simple harmonic motion with the displacement starting from mean position to extreme position (A) is given by [11-Apr-2023 shift 1]
The induced emf can be produced in a coil byA. moving the coil with uniform speed inside uniform magnetic fieldB. moving the coil with non uniform speed inside uniform magnetic fieldC. rotating the co
If the gravitational field in the space is given as . Taking the reference point to be at with gravitational potential . Find the gravitational potential at in unit (Given, that ) [30-Jan-2023 Shift 1
Moment of inertia of a dise of mass and radius ' ' about any of its diameter is . The moment of inertia of this disc about an axis normal to the disc and passing through a point on its edge will be, .
' ' polarizing sheets are arranged such that each makes an angle with the proceeding sheet. An unpolarized light of intensity is incident into this arrangement. The output intensity is found to be . T
Consider the following radioactive decay process . The mass number and the atomic number are given by : [24-Jan-2023 Shift 1]
In an experiment for estimating the value of focal length of converging mirror, image of an object placed at from the pole of the mirror is formed at distance from the pole of the mirror. These distan
A ball is thrown vertically upward with an initial velocity of . The ratio of velocity after and is . The value of is _______. {take, } [12-Apr-2023 shift 1]
As shown in the figure, a network of resistors is connected to a battery of with an internal resistance of . The currents through the resistors and are and respectively. The values of and are : [24-Ja
Given below are two statements : one is labelled as assertion AAA and the other is labelled as Reason RRR. Assertion AAA : The phase difference of two light wave change if they travel through differen
A stream of a positively charged particles having and velocity is deflected by an electric field . The electric field exists in a region of along direction. Due to the electric field, the deflection o
Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2.8 (medium -1) and 6.8 (medium 2 ), respectively. To satisfy the condition, so that the refl
Let be three distinct real numbers, none equal to one. If the vectors and are coplanar, then is equal to [12-Apr-2023 shift 1]
For the logic circuit shown, the output waveform at is: [8-Apr-2023 shift 1]
Young's moduli of the material of wires and are in the ratio of , while its area of cross sections are in the ratio of . If the same amount of load is applied to both the wires, the amount of elongati
A free neutron decays into a proton but a free proton does not decay into neutron. This is because [31-Jan-2023 Shift 1]
Nucleus a having and equal number of protons and neutrons has binding energy per nucleon.Another nucleus of has total 26 nucleons and binding energy per nucleons.The difference of binding energy of an
The velocity of a particle executing SHM varies with displacement as . The time period of oscillations is . The value of is _______. [30-Jan-2023 Shift 2]
In photoelectric effectA. The photocurrent is proportional to the intensity of the incident radiation.B. Maximum Kinetic energy with which photoelectrons are emitted depends on the intensity of incide
For a body projected at an angle with the horizontal from the ground, choose the correct statement. [1-Feb-2023 Shift 2]
A compass needle oscillates 20 times per minute at a place where the dip is and 30 times per minute where the dip is . The ratio of total magnetic field due to the earth at two places respectively is
If and represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by : ( angular frequency) : [24-Jan-2023 Shift 1]
A thermodynamic system is taken through cyclic process. The total work done in the process is : [15-Apr-2023 shift 1]
If the earth suddenly shrinks to th of its original volume with its mass remaining the same, the period of rotation of earth becomes . The value of is _______. [10-Apr-2023 shift 1]
A faulty thermometer reads in melting ice and in steam. The correct temperature on absolute scale will be ________ . when the faulty thermometer reads . [30-Jan-2023 Shift 2]
If the binding energy of ground state electron in a hydrogen atom is , then, the energy required to remove the electron from the second excited state of will be: . The value of is _______ . [31-Jan-20
In the given circuit, rms value of current through the resistor is : [30-Jan-2023 Shift 2]
A square loop of side is placed inside a long solenoid that has 50 turns per centimeter and carries a sinusoidally varying current of amplitude and angular frequency . The central axes of the loop and
The rms speed of oxygen molecule in a vessel at particular temperature is , where is the average speed of the molecule. The value of will be: (Take ) [13-Apr-2023 shift 1]
A body of mass is moving with an initial speed of . The body stops after due to friction between body and the floor. The value of the coefficient of friction is: (Take acceleration due to gravity ) [3
The magnetic moments associated with two closely wound circular coils and of radius and respectively are equal if: (Where and are number of turn and current of and respectively) [30-Jan-2023 Shift 1]
A body of mass is taken from earth surface to the height equal to twice the radius of earth , the increase in potential energy will be : ( acceleration due to gravity on the surface of Earth) [25-Jan-
Let and . Then is equal to [25-Jan-2023 Shift 2]
A radioactive nucleus decays by two different process. The half life of the first process is 5 minutes and that of the second process is . The effective half-life of the nucleus is calculated to be s.
The Thermodynamic process, in which internal energy of the system remains constant is [11-Apr-2023 shift 2]
A 2 meter long scale with least count of is used to measure the locations of objects on an optical bench. While measuring the focal length of a convex lens, the object pin and the convex lens are plac
As per the given figure, if then the value of at this instant will be _______ V. [30-Jan-2023 Shift 1]
A photon is emitted in transition from to level in hydrogen atom. The corresponding wavelength for this transition is(given, ) : [24-Jan-2023 Shift 2]
In an experiment with sonometer when a mass of is attached to the string, it vibrates with fundamental frequency of . When a mass is attached, the string vibrates with fundamental frequency of . The v
Three concentric spherical metallic shells and of radius and respectively have surface charge densities and , respectively. The shells and are at same potential. If the radii of & are and , respective
A flask contains Hydrogen and Argon in the ratio by mass. The temperature of the mixture is . The ratio of average kinetic energy per molecule of the two gases ( argon/ hydrogen) is :(Given : Atomic W
Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second contains chlorine (diatomic) and third contains uranium hexafl
Two identical circular wires of radius and carrying current are placed in perpendicular planes as shown in figure. The net magnetic field at the centre of the circular wires is _______ . (Take [6-Apr-
Given below are two statements :Statements I : The temperature of a gas is . When the gas is heated to , the root mean square speed of the molecules is doubled.Statement II : The product of pressure a
As per the given figure, a small ball P slides down the quadrant of a circle and hits the other ball of equal mass which is initially at rest. Neglecting the effect of friction and assume the collisio
A car is moving on a horizontal curved road with radius . The approximate maximum speed of car will be, if friction between tyres and road is 0.34. Take [29-Jan-2023 Shift 1]
A steel rod has a radius of and a length of . A force of stretches it along its length. Young's modulus of steel is . The longitudinal strain produced in the wire is ________ (25) [6-Apr-2023 shift 1]
Let and be two vectors. Then which one of the following statements is TRUE? [1-Feb-2023 Shift 2]
When two resistance and connected in series and introduced into the left gap of a meter bridge and a resistance of is introduced into the right gap, a null point is found at from left side. When and a
Given below are two statements:Statement I : If be the total energy of a satellite moving around the earth, then its potential energy will be Statement II : The kinetic energy of a satellite revolving
A car is moving with a constant speed of 20 in a circular horizontal track of radius 40 . A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertic
A block of mass is placed at rest on a table of rough surface. Now, if a force of is applied in the direction parallel to surface of the table, the block slides through a distance of in an interval of
A series LCR circuit is connected to an ac source of . The circuit contain a resistance and an inductor of inductive reactance . The capacitance of the capacitor needed to maximize the average rate at
An electron of a hydrogen like atom, having , jumps from energy state to energy state, The energy released in this process, will be: Given Where Rydberg constant Speed of light in vacuum Planck's cons
The range of the projectile projected at an angle of with horizontal is . If the projectile is projected with same velocity at an angle of with horizontal, then its range will be [10-Apr-2023 shift 1]
Which of the following correctly represents the variation of electric potential (V) of a charged spherical conductor of radius (R) with radial distance (r) from the centre? [31-Jan-2023 Shift 1]
The time period of a satellite, revolving above earth's surface at a height equal to will be (Given radius of earth) [10-Apr-2023 shift 2]
A force acts on a particle in the direction where is in newton and is in meter. The work done by this force during a displacement from to , is ________ mJ. [11-Apr-2023 shift 1]
For hydrogen atom, and are the wavelengths corresponding to the transitions 1 and 2 respectively as shown in figure. The ratio of and is . The value of is _______. [31-Jan-2023 Shift 1]
In Young's double slits experiment, the position of bright fringe from the central maximum is . The distance between slits and screen is and wavelength of used monochromatic light is . The separation
Which of the following are true?A. Speed of light in vacuum is dependent on the direction of propagation.B. Speed of light in a medium in independent of the wavelength of light.C. The speed of light i
A parallel plate capacitor with plate area and plate separation is filed with a dielectric material of dielectric constant . The thickness of the dielectric material is , where .Let and be the capacit
For a given transistor amplifier circuit in CE configuration and . Value of base current is [8-Apr-2023 shift 2]
Two light waves of wavelengths 800 and are used in Young's double slit experiment to obtain interference fringes on a screen placed away from plane of slits. If the two slits are separated by , then s
Choose the correct statement about Zener diode: [1-Feb-2023 Shift 2]
Statement I : When a sample is doped with Boron, it becomes type and when doped by Arsenic it becomes -type semi conductor such that P-type has excess holes and -type has excess electrons.Statement II
The amplitude of magnetic field in an electromagnetic wave propagating along y-axis is . The maximum value of electric field in the electromagnetic wave is [10-Apr-2023 shift 2]
Two projectiles A and B are thrown with initial velocities of and at angles and with the horizontal respectively. The ratio of their ranges respectively is [8-Apr-2023 shift 1]
The effect of increase in temperature on the number of electrons in conduction band and resistance of a semiconductor will be as: [31-Jan-2023 Shift 1]
A nucleus with mass number 242 and binding energy per nucleon as breaks into two fragment each with mass number 121. If each fragment nucleus has binding energy per nucleon as , the total gain in bind
Given below are two statements:Statement I: In a typical transistor, all three regions emitter, base and collector have same doping level.Statement II: In a transistor, collector is the thickest and b
Match List I with List II : List-I (PhysicalQuantity) List-II (Dimensional Formula) A Pressure gradient I B Energy density II C Electric Field III D Latent heat IV Choose the correct answer from the o
In a metallic conductor, under the effect of applied electric field, the free electrons of the conductor [10-Apr-2023 shift 2]
A vehicle of mass is moving along a levelled curved road of radius with angular velocity of 0.2 . The centripetal force acting on the vehicle is: [13-Apr-2023 shift 2]
Match the List-I with List-II: List I List II A. Microwaves I. Radio active decay of the nucleus B. Gamma rays II. Rapid acceleration and deceleration of electron in aerials C. Radio waves III. Inner
A solid sphere is rolling on a horizontal plane without slipping. If the ratio of angular momentum about axis of rotation of the sphere to the total energy of moving sphere is the, the value of its an
As per given figure A, B and C are the first, second and third excited energy levels of hydrogen atom respectively. If the ratio of the two wavelengths i.e. is , then the value of will be ________. [1
The equivalent resistance of the circuit shown below between points a and is : [10-Apr-2023 shift 1]
The work functions of Aluminium and Gold are 4.1 eV and and 5.1 eV respectively. The ratio of the slope of the stopping potential versus frequency plot for Gold to that of Aluminium is [6-Apr-2023 shi
The decay constant for a radioactive nuclide is . Atomic weight of the substance is , . The activity of of the substance is _______ . [10-Apr-2023 shift 1]
Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will be : [11-Apr-2023 sh
Let the position vectors of the points and be and . Let the set : the points and are coplanar . Then is equal to : [6-Apr-2023 shift 1]
Two resistances are given as and . The percentage error in the measurement of equivalent resistance when they are connected in parallel is - [6-Apr-2023 shift 1]
If be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be _______ [10-Apr-2023 shift 2]
For a solid rod, the Young's modulus of elasticity is and density is . The velocity of longitudinal wave in the rod will be. [31-Jan-2023 Shift 2]
A hollow cylindrical conductor has length of , while its inner and outer diameters are and respectively. The resistance of the conductor is .If the resistivity of the material is . The value of is___
The speed of a swimmer is in still water. If the swimmer makes his strokes normal to the flow of river of width , he reaches a point down the stream on the opposite bank.The speed of the river water i
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Photodiodes are preferably operated in reverse bias condition for light intensity me
A small block of mass is tied to a spring of spring constant and length . The other end of spring is fixed at a particular point A. If the block moves in a circular path on a smooth horizontal surface
The root mean square velocity of molecules of gas is [25-Jan-2023 Shift 1]
If the potential difference between and is zero, the value of is . The value of is _______ [30-Jan-2023 Shift 2]
For a moving coil galvanometer, the deflection in the coil is when a current of is passed through it. If the torsional constant of suspension wire is , the magnetic field is and the number of turns in
On a temperature scale ' ', the boiling point of water is and the freezing point is . Assume that the scale is linear. The equivalent temperature corresponding to on the Farenheit scale would be : [11
The acceleration due to gravity at height above the earth if (Radius of earth) is given by [8-Apr-2023 shift 2]
The energy released per fission of nucleus of is . The energy released if all the atoms in of pure undergo fission is ____ . (Given ) [24-Jan-2023 Shift 2]
A planet having mass and radius , where and are mass and radius of earth respectively, has escape velocity in given by:(Given escape velocity on earth ) [13-Apr-2023 shift 1]
A person observes two moving trains, 'A' reaching the station and ' ' leaving the station with equal speed of . If both trains emit sounds with frequency , (Speed of sound : ) approximate difference o
The waves emitted when a metal target is bombarded withhigh energy eléctrons are [8-Apr-2023 shift 2]
The logic performed by the circuit shown in figure is equivalent to : [11-Apr-2023 shift 1]
A cylindrical wire of mass has length and radius . The maximum error in its density will be: [8-Apr-2023 shift 1]
Two cells are connected between points and as shown. Cell 1 has emf of and internal resistance of . Cell 2 has emf of and internal resistance of . An external resistor of is connected across and . The
The fundamental frequency of vibration of a string stretched between two rigid support is . The mass of the string is and its linear mass density is . The speed of the transverse waves so produced in
Electric field in a certain region is given by . The SI unit of and are : [30-Jan-2023 Shift 1]
An electron revolves around an infinite cylindrical wire having uniform linear charge density in circular path under the influence of attractive electrostatic field as shown in the figure. The velocit
From the graph shown, the ratio of distance to displacement in of motion is: [11-Apr-2023 shift 1]
A beam of light consisting of two wavelengths and is used to obtain interference pattern in Young's double slit experiment. The distance between the slits is and the distance between the place of slit
A metal block of base area is placed on a table, as shown in figure. A liquid film of thickness is inserted between the block and the table. The block is pushed by a horizontal force of and moves with
As shown in the figure, a current of flowing in an equilateral triangle of side . The magnetic field at the centroid of the triangle is:(Neglect the effect of earth's magnetic field.) [30-Jan-2023 Shi
A uniform disc of mass and radius is projected with velocity at on a rough horizontal surface. It starts off with a purely sliding motion at . After it acquires a purely rolling motion (see figure). T
The equation of a circle is given by , where a is the radius. If the equation is modified to change the origin other than , then find out the correct dimensions of and in a new equation: .The dimensio
As shown in the figure, the voltmeter reads across resistor. The resistance of the voltmeter is ________ . [6-Apr-2023 shift 2]
A coil is placed in magnetic field such that plane of coil is perpendicular to the direction of magnetic field. The magnetic flux through a coil can be changed:A. By changing the magnitude of the magn
Which graph represents the difference between total energy and potential energy of a particle executing SHM vs it's distance from mean position? [13-Apr-2023 shift 1]
An insulated copper wire of 100 turns is wrapped around a wooden cylindrical core of the cross-sectional area . The two ends of the wire are connected to a resistor. The total resistance in the circui
Match List I with List II : List I List II A. IsothermalProcess I. Work done by the gas decreases internal energy B. Adiabatic Process II. No change in internal energy C. Isochoric Process III. The he
Two isolated metallic solid spheres of radii and are charged such that both have same charge density . The spheres are then connected by a thin conducting wire. If the new charge density of the bigger
Given below are two statements : one is labelled as Assertion and the other is labelled as Reason R.Assertion A : Earth has atmosphere whereas moon doesn't have any atmosphere.Reason R : The escape ve
Eight equal drops of water are falling through air with a steady speed of . If the drops collapse, the new velocity is :- [11-Apr-2023 shift 2]
If is the gravitational potential due to sphere of uniform density on it's surface, then it's value at the center of sphere will be:- [11-Apr-2023 shift 2]
A particle of mass moves in a straight line with retardation , where is the displacement in SI units. Its loss of kinetic energy for above displacement is J. The value of will be ________ [6-Apr-2023
Proton (P) and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assume, mp=1849mem_{p}=1849 m_{e}mp=1849me ): [8-Apr-2023 shift 1]
As shown in figures, three identical polaroids , and are placed one after another. The pass axis of and are inclined at angle of and with respect to axis of . The source has an intensity of . The inte
A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed across this cross-section. The magnetic field is [6-Apr-2023 shift 1]
A simple pendulum with length and bob of mass is executing S.H.M. of amplitude . The maximum tension in the string is found to be . The value of is _______. [6-Apr-2023 shift 2]
As shown in the figure a block of mass lying on a horizontal surface is pulled by a force acting at an angle , with horizontal. For , the block will just start to move for the value of : [Given ] [1-F
The number of air molecules per increased from to . The ratio of collision frequency of air molecules before and after the increase in the number respectively is: [6-Apr-2023 shift 1]
A solid sphere of mass rolls without slipping on a plane surface. Its kinetic energy is . The speed of the centre of mass of the sphere is _______ . [31-Jan-2023 Shift 1]
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason RAssertion A : The binding energy per nucleon is practically independent of the atomic number for nu
A straight wire carrying a current of is bent into a semicircular arc of radius as shown in the figure. The magnetic field produced by the current at the centre of the arc. is _______ [10-Apr-2023 shi
The distance travelled by a particle is related to time as . The velocity of the particle at is. [25-Jan-2023 Shift 2]
Two radioactive elements and initially have same number of atoms. The half life of is same as the average life of B. If and are decay constants of and respectively, then choose the correct relation fr
A metallic cube of side moving along y-axis at a uniform velocity of . In a region of uniform magnetic field of magnitude directed along z-axis. In equilibrium the potential difference between the fac
An election in a hydrogen atom revolves around its nucleus with a speed of in an orbit of radius . The magnetic field produced at the nucleus of the hydrogen atom is ______ . [15-Apr-2023 shift 1]
Given below are two statements :Statements I : Pressure in a reservoir of water is same at all points at the same level of water.Statements II : The pressure applied to enclosed water is transmitted i
A metal block of mass is suspended from a rigid support through a metal wire of diameter . The tensile stress developed in the wire under equilibrium state is . The value of mass is _______ . (Take, a
For the given circuit, in the steady state, [31-Jan-2023 Shift 2]
A child stands on the edge of the cliff above the ground and throws a stone horizontally with an initial speed of . Neglecting the air resistance, the speed with which the stone hits the ground will b
A wire of density is stretched between two clamps apart. The extension developed in the wire is . If , the fundamental frequency of vibration in the wire will be ________ Hz. [11-Apr-2023 shift 2]
27. The distance between two consecutive points with phase difference of in a wave of frequency is . The velocity with which wave is traveling is ________ [25-Jan-2023 Shift 1]
A thin uniform rod of length . cross sectional area ' ' and density ' ' is rotated about an axis passing through the centre and perpendicular to its length with angular velocity . If value of in terms
The mass of proton, neutron and helium nucleus are respectively and . The binding energy of helium nucleus is: [1-Feb-2023 Shift 1]
A steel rod of length and cross sectional area is heated from to without being allowed to extend or bend. The compressive tension produced in the rod is ________ of steel , coefficient of linear expan
A force of acts on the origin of the coordinate system. The torque about the point is . The ratio of is . The value of is _______. [10-Apr-2023 shift 2]
Choose the correct length versus square of time period graph for a simple pendulum executing simple harmonic motion. [1-Feb-2023 Shift 2]
The current flowing through is: [11-Apr-2023 shift 2]
A particle executes S.H.M. of amplitude A along -axis. At , the position of the particle is and it moves along positives -axis. The displacement of particle in time is , then the value will be [10-Apr
A proton moving with one tenth of velocity of light has a certain de Broglie wavelength of . An alpha particle having certain kinetic energy has the same de-Brogle wavelength . The ratio of kinetic en
If the points and are respectively the circumecenter and the orthocentre of a , the is equal to [10-Apr-2023 shift 2]
and , are the vertices of a quadrilateral . If its area is 18 square units, then is equal to ______. [1-Feb-2023 Shift 1]
Two plates A and B have thermal conductivities and respectively. They have same surface area and same thickness. They are placed in contact along their surfaces. If the temperatures of the outer surfa
Find the mutual inductance in the arrangement, when a small circular loop of wire of radius ' ' is placed inside a large square loop of wire of side . The loops are coplanar and their centres coincide
The weight of a body at the surface of earth is 18 . The weight of the body at an altitude of 3200 above the earth's surface is (given, radius of earth ) [24-Jan-2023 Shift 1]
Given below are two statements: one is labelled as Assertion and the other is labelled as Reason . Assertion A: A pendulum clock when taken to Mount Everest becomes fast. Reason R: The value of g (acc
A fish rising vertically upward with a uniform velocity of 8 , observes that a bird is diving vertically downward towards the fish with the velocity of 12 . If the refractive index of water is , then
If a radioactive element having half-life of is undergoing beta decay, the fraction of radioactive element remains undecayed after . will be : [29-Jan-2023 Shift 1]
Experimentally it is found that energy is required to separate a hydrogen atom into a proton and an electron. So the orbital radius of the electron in a hydrogen atom is . The value of the is _______
The ratio of the de-Broglie wavelengths of proton and electron having same Kinetic energy: (Assume ) [11-Apr-2023 shift 2]
The trajectory of projectile, projected from the ground is given by . Where and are measured in meter. The maximum height attained by the projectile will be. [8-Apr-2023 shift 2]
All electromagnetic wave is transporting energy in the negative zzz direction. At a certain point and certain time the direction of electric field of the wave is along positive yyy direction. What wil
Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature . The centre of curvature of surface is towards denser medium and a p
Two projectiles are projected at and with the horizontal the same speed. The ratio of the maximum height attained by the two projectiles respectively is: [10-Apr-2023 shift 2]
For a rolling spherical shell, the ratio of rotational kinetic energy and total kinetic energy is . The value of is ______. [12-Apr-2023 shift 1]
In a Young's double slit experiment, the intensities at two points, for the path difference and ( being the wavelength of light used) are and respectively. If denotes the intensity produced by each on
A particle of mass is projected at time with a speed at an angle to the horizontal as given in the figure. The magnitude of the angular momentum of the particle about the starting point at time is fou
If the two metals AAA and BBB are exposed to radiation of wavelength . The work functions of metals AAA and BBB are and . Then choose the correct option [31-Jan-2023 Shift 2]
If four distinct points with position vectors and are coplanar, then is equal to [11-Apr-2023 shift 2]
Surface tension of a soap bubble is .Work done to increase the radius of soap bubblefrom to will be : [Take ] [29-Jan-2023 Shift 1]
Which of the following Maxwell's equation is valid for time varying conditions but not valid for static conditions: [13-Apr-2023 shift 1]
The ratio of wavelength of spectral lines and in the Balmer series is . The value of is [8-Apr-2023 shift 2]
As shown in figure, a cuboid lies in a region with electric field . The magnitude of charge within the cuboid is . The value of is ________ (if dimension of cuboid is ) [30-Jan-2023 Shift 2]
In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes times its initial resonant frequency . The va
A conducting circular loop is placed in a uniform magnetic field of with its plane perpendicular to the field. Somehow, the radius of the loop starts expending at a constant rate of . The magnitude of
In the given nuclear reaction, the approximate amount of energy released will be: [Given, mass of , [13-Apr-2023 shift 1]
For particle revolving round the centre with radius of circular path and angular velocity , as shown in below figure, the projection of on the -axis at time is [8-Apr-2023 shift 2]
A bar magnet with a magnetic moment is placed in parallel position relative to a magnetic field of . The amount of required work done in turning the magnet form parallel to antiparallel position relat
The wavelength of the radiation emitted is when an electron jumps from the second excited state to the first excited state of hydrogen atom. If the electron jumps from the third excited state to the s
As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is used to image an object placed at infinity. The radius of curvature of both the lenses is and refract
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason Assertion A : Electromagnets are made of soft iron.Reason R : Soft iron has high permeability and lo
A body of mass is moving with a velocity of . Its kinetic energy will be [13-Apr-2023 shift 1]
Work done by a Carnot engine operating between temperatures and is . The amount of heat transferred to the engine by the reservoir is: [8-Apr-2023 shift 2]
Three forces are acting on a particle of mass . The forces and are applied perpendicularly so that particle remains at rest. If the force is removed, then the acceleration of the particle is : [12-Apr
The length of a wire becomes and when and tensions are applied respectively. If , the natural length of wire will be . Here the value of is ________. [11-Apr-2023 shift 1]
A stone tied to long string at its end is making 28 revolutions in horizontal circle in every minute. The magnitude of acceleration of stone is . The value of ________. [30-Jan-2023 Shift 2]
A certain elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to a uniform magnetic field . When released the radius of the loop starts shrinking a
A coil has an inductance of and resistance of . A is applied across the coil. The energy stored in the magnetic field after the current has built up to its equilibrium value will be ________ . [11-Apr
Heat is given to an ideal gas in an isothermal process.A. Internal energy of the gas will decrease.B. Internal energy of the gas will increase.C. Internal energy of the gas will not change.D. The gas
Certain galvanometers have a fixed core made of non magnetic metallic material. The function of this metallic material is [8-Apr-2023 shift 1]
Two forces having magnitude A and are perpendicular to each other. The magnitude of their resultant is: [8-Apr-2023 shift 1]
Two vertical parallel mirrors and are separated by . A point object is placed at a distance of from mirror . The distance of the second nearest image behind mirror from the mirror is ________ . [8-Apr
A block of mass is attached with two identical springs of spring constant each. The block is placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure). W
A block of is attached to a string whose other end is attached to the wall. An unknown force is applied so that the string makes an angle of with the wall. The tension is : Given [30-Jan-2023 Shift 2]
Substance has atomic mass number 16 and half life of 1 day. Another substance B has atomic mass number 32 and half life of day. If both and simultaneously start undergo radio activity at the same time
A circular loop of radius is carrying current I A. The ratio of magnetic field at the centre of circular loop and at a distance from the center of the loop on its axis is : [24-Jan-2023 Shift 1]
In Young's double slit experiment, two slits and are ' ' distance apart and the separation from slits to screen is (as shown in figure). Now if two transparent slabs of equal thickness but refractive
An object of mass ' ' initially at rest on a smooth horizontal plane starts moving under the action of force . In the process of its linear motion, the angle (as shown in figure) between the direction
The energy of ion in its first excited state is, (The ground state energy for the Hydrogen atom is ): [11-Apr-2023 shift 2]
If earth has a mass nine times and radius twice to the of a planet . Then will be the minimum velocity required by a rocket to pull out of gravitational force of , where is escape velocity on earth. T
Two concentric circular coils with radii and , and number of turns 10 and 200 respectively are placed coaxially with centers coinciding. The mutual inductance of this arrangement will be _______ (Take
If and then is equal to : [29-Jan-2023 Shift 2]
The amplitude of a particle executing SHM is 3 . The displacement at which its kinetic energy will be more than the potential energy is:_______ cm. [1-Feb-2023 Shift 1]
A horse rider covers half the distance with speed. The remaining part of the distance was travelled with speed for half the time and with speed for other half of the time. The mean speed of the rider
Given below are two statements. One is labelled as Assertion and the other is labelled as Reason R. Assertion : If and represent the heat supplied to the system and the work done on the system respect
A small ball of mass and density is dropped in a viscous liquid of density . After some time, the ball falls with a constant velocity. What is the viscous force on the ball? [6-Apr-2023 shift 1]
A long solenoid is formed by winding 70 turns . If current flows, then the magnetic field produced inside the solenoid is___ [24-Jan-2023 Shift 2]
The surface of water in a water tank of cross section area on the top of a house is . above the tap level. The speed of water coming out through the tap of cross section area is . At that instant, is
If 1000 droplets of water of surface tension . having same radius each, combine to from a single drop. In the process the released surface energy is- Take [31-Jan-2023 Shift 1]
The temperature of an ideal gas is increased from to . If r.m.s. speed of gas at is . Then, r.m.s. speed of the gas at will be: [6-Apr-2023 shift 2]
In the given figure the total charge stored in the combination of capacitors is . The value of ' ' is ________ [15-Apr-2023 shift 1]
A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index - is poured inside the bucket, then microscope have to be raised by to focus the object again. The heigh
A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six different wavelengths. The frequency of inciden
An inductor of inductance is connected in series with a resistance, a variable capacitor and an AC source of frequency . The value of capacitance for which maximum current is drawn into the circuit is
The difference between threshold wavelengths for two metal surfaces A and B having work function and in is: Given, [13-Apr-2023 shift 1]
Let and . If is a vector such that and , then is equal to _______. [13-Apr-2023 shift 1]
Given below are two statements:Statement I : Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an source, when resonance occursStatem
When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of light converge at different point on the principle axis after refraction. This is
The moment of inertia of a semicircular ring about an axis, passing through the center and perpendicular to the plane of ring, is , where is the radius and is the mass of the semicircular ring. The va
Two parallel plate capacitors and each having capacitance of are individually charged by a D.C. source. Capacitor is kept connected to the source and a dielectric slab is inserted between it plates. C
The electric field due to a short electric dipole at a large distance (r) from center of dipole on the equatorial plane varies with distance as : [15-Apr-2023 shift 1]
Two objects are projected with same velocity 'u' however at different angles and with the horizontal. If , the ratio of horizontal range of the first object to the object will be : [25-Jan-2023 Shift
A capacitor has capacitance when it's parallel plates are separated by air medium of thickness . A slab of material of dielectric constant having area equal to that of plates but thickness is inserted
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R Assertion A : If an electric dipole of dipole moment is enclosed by a closed surface, the net flux
Given below are two statements : one is labelled as Assertion and then other is labelled as Reason Assertion A : An electric fan continues to rotate for some time after the current is switched off.Rea
Three identical resistors with resistance and two identical inductors with sell inductance are connected to an ideal battery with emf of as shown in figure. The current through the battery long after
The equivalent resistance between and of the network shown in figure: [1-Feb-2023 Shift 1]
A mass takes to reach ground when dropped from a certain height ' ' above surface of earth. The loss of potential energy in the last second of fall is J. [Take ] [29-Jan-2023 Shift 1]
A rod with circular cross-section area and length is wound uniformly with 400 turns of an insulated wire. If a current of flows in the wire windings, the total magnetic flux produced inside windings i
The threshold frequency of metal is . When the light of frequency is incident on the metal plate, the maximum velocity of photoelectron is . When the frequency of incident radiation is increased to .
A force acts on a particle in the direction, where is newton and is in meter. The work done by the force during a displacement from to is _______ j. [1-Feb-2023 Shift 2]
A student is provided with a variable voltage source , a test resistor , two identical galvanometers and and two additional resistors, and . For conducting an experiment to verify ohm's law, the most
A block of mass slides down the plane inclined at angle with an acceleration . The value of coefficient of kinetic friction will be : [29-Jan-2023 Shift 1]
An object is placed at a distance of in front of a plane mirror. The virtual and erect image is formed by the mirror. Now the mirror is moved by towards the stationary object. The distance by which th
A body of mass is moving with a momentum of . Now a force of acts on the body in the direction of its motion for . The increase in the Kinetic energy of the body is _______ J. [8-Apr-2023 shift 2]
A train blowing a whistle of frequency approaches an observer standing on the platform at a speed of . The frequency observed by the observer will be (given speed of sound ) ________ . [25-Jan-2023 Sh
A sample of gas at temperature is adiabatically expanded to double its volume. The work done by the gas in the process is given, : [1-Feb-2023 Shift 1]
An organ pipe long is open at both ends. The speed of sound in air is . The frequency of the second harmonic is ________ . [8-Apr-2023 shift 1]
The resistivity of semiconductor varies with temperature. Which of the following curve represents the correct behavior [6-Apr-2023 shift 1]
Assume that the earth is a solid sphere of uniform density and a tunnel is dug along its diameter throughout the earth. It is found that when a particle is released in this tunnel, it executes a simpl
The ratio of average electric energy density and total average energy density of electromagnetic wave is: [1-Feb-2023 Shift 2]
The source of time varying magnetic field may be(A) A permanent magnet(B) An electric field changing linearly with time(C) Direct current(D) A decelerating charge particle(E) An antenna fed with a dig
A car P travelling at sounds its horn at a frequency of . Another car is travelling behind the first car in the same direction with a velocity . The frequency heard by the passenger of the car is appr
Figure below shows a liquid being pushed out of the tube by a piston having area of cross section . The area of cross section at the outlet is . If the piston is pushed at a speed of , the speed of ou
As shown in the figure, a plane mirror is fixed at a height of 50 cm from the bottom of tank containing water . The height of water in the tank is 8 cm. A small bulb is placed at the bottom of the wat
A body of mass is initially at rest. It starts moving unidirectionally under the influence of a source of constant power P. Its displacement in is . The value of will be _______ [30-Jan-2023 Shift 2]
An inductor of , a capacitor of and resistance of are connected in series with a ac source. If the current is in phase with the emf, the amplitude of current of the circuit is . The value of is - [31-
A solid cylinder is released from rest from the top of an inclined plane of inclination and length . If the cylinder rolls without slipping, its speed upon reaching the bottom of the inclined plane is
A tennis ball is dropped on to the floor from a height of . It rebounds to a height . Ball comes in contact with the floor for . The average acceleration during contact is _______ .[Given ] [29-Jan-20
The energy levels of an hydrogen atom are shown below. The transition corresponding to emission of shortest wavelength is [6-Apr-2023 shift 1]
From the photoelectric effect experiment, following observations are made. Identify which of these are correctA. The stopping potential depends only on the work function of the metal.B. The saturation
Given below are two statements : one is labelled as Assertion and the other is labelled as Reason .Assertion A : When a body is projected at an angle , it's range is maximum.Reason : For maximum range
As per given figure, a weightless pulley is attached on a double inclined frictionless surface. The tension in the string (massless) will be (if ) [24-Jan-2023 Shift 1]
Given below are two statements :Statements I : An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor.Statement II : An AC circuit containing a pure capacitor or
A thin prism with an angle and made of glass of refractive index 1.54 is combined with another prism made from glass of refractive index 1.72 to produce dispersion without average deviation. The angle
In the circuit shown, the energy stored in the capacitor is . The value of is [13-Apr-2023 shift 2]
Two satellites of masses and revolve around the earth in circular orbits of radii & respectively. The ratio of orbital speeds of the satellites respectively is [10-Apr-2023 shift 1]
A light of energy is incident on a hydrogen atom in its ground state. The atom absorbs the radiation and reaches to one of its excited states. The angular momentum of the atom in the excited state is
is the time period of simple pendulum on the earth's surface. Its time period becomes x when taken to a height (equal to earth's radius) above the earth's surface. Then, the value of will be: [25-Jan-
The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by Then the correct relation between and is given by [24-Jan-2023 Shift 2]
The positon-time graphs for two students and B returning from the school to their homes are shown in figure.(A) A lives closer to the school(B) B lives closer to the school(C) A takes lesser time to r
Two identical cells, when connected either in parallel or in series gives same current in an external resistance . The internal resistance of each cell will be ________ . [31-Jan-2023 Shift 1]
Expression for an electric field is given by . The electric flux through the cube of side when placed in electric field (as shown in the figure) is ________ . [31-Jan-2023 Shift 1]
A small object at rest, absorbs a light pulse of power and duration . Assuming speed of light as . the momentum of the object becomes equal to : [30-Jan-2023 Shift 1]
A bowl filled with very hot soup cools from to in 2 minutes when the room temperature is . How long it will take to cool from to ? [25-Jan-2023 Shift 1]
The pressure of a gas changes linearly with volume from A to B as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be [31-Jan-202
The equation of wave is given by where and are in and in . The speed of the wave is ________ . [11-Apr-2023 shift 1]
Let and . If is a vector perpendicular to both and , and , then is equal to : [6-Apr-2023 shift 1]
Two discs of same mass and different radii are made of different materials such that their thicknesses are and respectively. The densities of materials are in the ratio 3:5. The moment of inertia of t
The angular momentum for the electron in Bohr's orbit is L. If the electron is assumed to revolve in second orbit of hydrogen atom, them the change in angular momentum will be [10-Apr-2023 shift 1]
Match List I with List II List - I List - II A. Surface tension I. B. Pressure II. C. Viscosity III. D. Impulse IV. Choose the correct answer from the options given below : [25-Jan-2023 Shift 1]
The logic gate equivalent to the given circuit diagram is : [24-Jan-2023 Shift 2]
Ratio of thermal energy released in two resistor and 3R connected in parallel in an electric circuit is : [29-Jan-2023 Shift 1]
In an experiment with vernier calipers of least count , when two jaws are joined together the zero of vernier scale lies right to the zero of the main scale and division of vernier scale coincides wit
A charge particle moving in magnetic field B, has the components of velocity along as well as perpendicular to . The path of the charge particle will be [8-Apr-2023 shift 1]
An atom absorbs a photon of wavelength and emits another photon of wavelength . The net energy absorbed by the atom in this process is . The value of is [Assume the atom to be stationary during the ab
Two bodies are projected from ground with same speeds at two different angles with respect to horizontal. The bodies were found to have same range. If one of the body was projected at an angle of , wi
A cubical volume is bounded by the surfaces . The electric field in the region is given by . Where . If , the charge contained in the cubical volume is . The value of is ______.Take ) [1-Feb-2023 Shif
For a nucleus having mass number and atomic number A. The surface energy per nucleon .B. The Coulomb contribution to the binding energy C. The volume energy D. Decrease in the binding energy is propor
A ring and a solid sphere rotating about an axis passing trough their centers have same radii of gyration. The axis of rotation is perpendicular to plane of ring. The ratio of radius of ring to that o
A particle starts with an initial velocity of along x-direction and accelerates uniformly at the rate of . The time taken by the particle to reach the velocity of is [6-Apr-2023 shift 2]
An air bubble of volume rises from the bottom of a lake deep to the surface at a temperature of . The atmospheric pressure is , the density of water is and . There is no difference of the temperature
For any vector , with , consider the following statements :(A) : (B) : [11-Apr-2023 shift 1]
The engine of a train moving with speed towards a platform sounds a whistle at frequency . The frequency heard by a passenger inside the train is : (neglect air speed. Speed of sound in air ) [8-Apr-2
A capacitor of capacitance is charge to a potential V. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is : [11-Apr-2023 shift 2]
Given below are two statements:Statement I : If heat is added to a system, its temperature must increase.Statement II : If positive work is done by a system in a thermodynamic process, its volume must
The radius of curvature of each surface of a convex lens having refractive index 1.8 is . The lens is now immersed in a liquid of refractive index 1.5. The ratio of power of lens in air to its power i
A force is applied to a steel wire ' ', rigidly clamped at one end. As a result elongation in the wire is . If same force is applied to another steel wire ' ' of double the length and a diameter times
10 resistors each of resistance can be connected in such as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be _______. [10-Apr-2023 shift
If the points with position vectors are collinear, then is equal to [8-Apr-2023 shift 1]
As shown in the figure, a configuration of two equal point charges is placed on an inclined plane. Mass of each point charge is . Assume that there is no friction between charge and plane. For the sys
A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity (as shown in figure). Maximum height with respect to the initial position covered by it will be _______ ta
A small particle of mass moves in such a way that its potential energy where is constant and is the distance of the particle from origin. Assuming Bohr's quantization of momentum and circular orbit, t
A particle executes simple harmonic motion between and . If time taken by particle to go from to is ; then time taken by particle in going from to is : [25-Jan-2023 Shift 2]
Two particles of equal mass ' ' move in a circle of radius ' ' under the action of their mutual gravitational attraction. The speed of each particle will be : [29-Jan-2023 Shift 1]
Given below are two statements :Statement I : For a planet, if the ratio of mass of the planet to its radius increases, the escape velocity from the planet also increases.Statement II : Escape velocit
Let be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric fields in three different region and are: [1-Feb-2023 Shift 1]
Find the magnetic field at the point in figure. The curved portion is a semicircle connected to two long straight wires. [1-Feb-2023 Shift 1]
Figures (a), (b), (c) and (d) show variation of force with time.The impulse is highest in figure. [1-Feb-2023 Shift 2]
The Young's modulus of a steel wire of length and cross-sectional area , is . The wire is suspended from its support on a given planet. A block of mass is attached to the free end of the wire. The acc
A rectangular parallelepiped is measured as . If its specific resistance is , then the resistance between its tow opposite rectangular faces will be ________ [10-Apr-2023 shift 2]
Dimension of should be equal to [8-Apr-2023 shift 1]
In a Young's double slit experiment, two slits are illuminated with a light of wavelength . The line joining is perpendicular to as shown in the figure. If the first minimum is detected at , the value
A radio active material is reduced to of its original amount in 3 days. If of the material is left after 5 days the initial amount of the material is [8-Apr-2023 shift 2]
The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become. [29-J
A hole is drilled in a metal sheet. At , the diameter of hole is . When the sheet is heated to , the change in the diameter of hole is . The value of will be __________if coefficient of linear expansi
A conducting loop of radius is placed perpendicular to a uniform magnetic field of . The magnetic field is decreased to zero in at a steady rate. The induced emf in the circular loop at is: [24-Jan-20
The escape velocities of two planets A and B are in the ratio . If the ratio of their radii respectively is , then the ratio of acceleration due to gravity of planet A to the acceleration of gravity o
The time taken by an object to slide down rough inclined plane is times as it takes to slide down a perfectly smooth incline plane. The coefficient of kinetic friction between the object and the incli
A bar magnet is released from rest along the axis of a very long vertical copper tube. After some time the magnet will [10-Apr-2023 shift 2]
Let a unit vector make angle with the positive directions of the co-ordinate axes , respectively, where is perpendicular to the plane through points (1, 2, 3), and , then which one of the following is
Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth from the surface of earth, if its weight on the surface of earth is , will be : [10-Apr-2023 shift 1]
Speed of an electron in Bohr's orbit for Hydrogen atom is . The corresponding speed of the electron in orbit, in is : [30-Jan-2023 Shift 1]
A body is dropped on ground from a height ' ' and after hitting the ground, it rebounds to a height ' '. If the ratio of velocities of the body just before and after hitting ground is 4 , then percent
An object is placed on the principal axis of convex lens of focal length as shown. A plane mirror is placed on the other side of lens at a distance of . The image produced by the plane mirror is insid
If each diode has a forward bias resistance of in the below circuit, Which of the following options is correct: [10-Apr-2023 shift 2]
A body of mass collides head on elastically with a stationary body of mass . After collision, the smaller body reverses its direction of motion and moves with a speed of . The initial speed of the sma
A closed circular tube of average radius , whose inner walls are rough, is kept in vertical plane. A block of mass just fit inside the tube. The speed of block is , when it is introduced at the top of
In the circuit shown in the figure, the ratio of the quality factor and the band width is____s. [24-Jan-2023 Shift 1]
A person travels distance with velocity and then distance with velocity in the same direction. The average velocity of the person is , then the relation between and will be. [10-Apr-2023 shift 2]
In a linear Simple Harmonic Motion (SHM)(A) Restoring force is directly proportional to the displacement.(B) The acceleration and displacement are opposite in direction.(C) The velocity is maximum at
A series combination of resistor of resistance , inductor of inductance and capacitor of capacitance is connected to an ac source. The quality factor of the circuit will be _______. [8-Apr-2023 shift
In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student measures real thickness of the glass slab as 5.25 and apparent thickness of the
The length of a metallic wire is increased by and its area of cross section is reduced by . The percentage change in resistance of the metallic wire is ________ [6-Apr-2023 shift 1]
In a cuboid of dimension , a charge is placed at the centre of the surface ' ' having area of . The flux through the opposite surface to ' ' is given by [29-Jan-2023 Shift 1]
The distance travelled by an object in time is given by . The instantaneous speed of the object at will be : [13-Apr-2023 shift 2]
The de Broglie wavelength of an electron having kinetic energy is . If the kinetic energy of electron becomes , then its de-Broglie wavelength will be : [15-Apr-2023 shift 1]
A network of four resistances is connected to battery, as shown in figure. The magnitude of voltage difference between the points A and B is ________ V. [15-Apr-2023 shift 1]
As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is plotted. The curve is a straight line passing through the origin and makes an angle of with
A solid sphere of mass is making pure rolling on a horizontal surface with kinetic energy . The velocity of centre of mass of the sphere will be _______ . [29-Jan-2023 Shift 1]
The current sensitivity of moving coil galvanometer is increased by .This increase is achieved only by changing in the number of turns of coils and area of cross section of the wire while keeping the
To maintain a speed of by a bus of mass on a plane rough road for distance, the work done by the engine of the bus will be _______ KJ. [The coefficient of fiction between tyre of bus and road is 0.04
In the given circuit, the current (I) through the battery will be [15-Apr-2023 shift 1]
The area of the quadrilateral with vertices and is equal to [8-Apr-2023 shift 2]
A nucleus disintegrates into two smaller parts, which have their velocities in the ratio . The ratio of their nuclear sizes will be . The value of ' ' is: [25-Jan-2023 Shift 2]
Given below are two statements:Statements I : A truck and a car moving with same kinetic energy are brought to rest by applying breaks which provide equal retarding forces. Both come to rest in equal
Let and be two vector such that , and . Then is equal to _______. [31-Jan-2023 Shift 1]
The general displacement of a simple harmonic oscillator is . Let be its time period. The slope of its potential energy (U) - time (t) curve will be maximum when . The value of is _______. [30-Jan-202
Choose the correct relationship between Poisson ratio . bulk modulus and modulus of rigidity of a given solid object: [30-Jan-2023 Shift 1]
For a certain organ pipe, the first three resonance frequencies are in the ratio of respectively. If the frequency of fifth harmonic is and the speed of sound in air is the length of the organ pipe is
In an electromagnetic wave, at an instant and at a particular position, the electric field is along the negative zzz axis and magnetic field is along the positive xxx-axis. Then the direction of propa
As shown in the figure, a long straight conductor with semicircular arc of radius is carrying current . The magnitude of the magnetic field. at the center of the arc is:(The permeability of the vacuum
Match the List I with List II List I List II A. IntrinsicSemiconductor I. Fermi-level near conduction band B. n-typesemiconductor II. Fermi-level at middle C. p-typesemiconductor III. Fermi-level near
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason RAssertion A : A bar magnet dropped through a metallic cylindrical pipe takes more time to come down
A transverse harmonic wave on a string is given by where and are in and in sec. The wave velocity is _______ . [10-Apr-2023 shift 1]
If the four points, whose position vectors are and are coplanar, then is equal to [25-Jan-2023 Shift 2]
The variation of stopping potential as a function of the frequency of the incident light for a metal is shown in figure. The work function of the surface is [10-Apr-2023 shift 2]
Given below are two statements:Statements I : The diamagnetic property depends on temperature.Statements II : The induced magnetic dipole moment in a diamagnetic sample is always opposite to the magne
The energy density associated with electric field and magnetic field of an electromagnetic wave in free space is given by ( - permittivity of free space, - permeability of free space) [6-Apr-2023 shif
The initial speed of a projectile fired from ground is . At the highest point during its motion, the speed of projectile is . The time of flight of the projectile is: [31-Jan-2023 Shift 1]
Match List I with List II : List I List II (A) 3 Translational degrees of freedom (I) Monoatomic gases (B) 3 Translational, 2 rotational degrees of freedoms (II) Polyatomic gases (C) 3 Translational,
A mass is attached to two strings as shown in figure. The spring constants of two springs are and . For the frictionless surface, the time period of oscillation of mass is [6-Apr-2023 shift 1]
The ratio of intensities at two points PPP and QQQ on the screen in a Young's double slit experiment where phase difference between two waves of same amplitude are and , respectively are [10-Apr-2023
Given below are two statements:Statements I : When the frequency of an a.c source in a series LCR circuit increases, the current in the circuit first increases, attains a maximum value and then decrea
The temperature at which the kinetic energy of oxygen molecules becomes double than its value at is [8-Apr-2023 shift 2]
A bullet of mass moving horizontally with speed hits a wooden block of mass kept on a horizontal rough surface. The bullet gets embedded into the block and moves before coming to rest. The coefficient
An object of mass is hanging from one end of a uniform rod of mass and length pivoted at its end on a vertical wall as shown in figure. It is supported by a cable such that the system is in equilibriu
A bi convex lens of focal length is cut in two identical parts along a plane perpendicular to the principal axis. The power of each lens after cut is ________ D. [13-Apr-2023 shift 2]
A long metal rod completes the circuit as shown in figure. The plane of the circuit is perpendicular to the magnetic field of flux density . If the resistance of the circuit is , the force needed to m
As shown in the figure, in Young's double slit experiment, a thin plate of thickness and refractive index is inserted infront of slit . The experiment is conducted in air and uses a monochromatic ligh
When vector is subtracted from vector , it gives a vector equal to . Then the magnitude of vector will be: [11-Apr-2023 shift 2]
If the r. . s speed of chlorine molecule is at , the speed of argon molecules at the same temperature will be (Atomic mass of argon , molecular mass of chlorine ) [12-Apr-2023 shift 1]
In a reflecting telescope, a secondary mirror is used to: [8-Apr-2023 shift 1]
A wire of resistance is melted and drawn in a wire of one-fourth of its length. The new resistance of the wire will be [12-Apr-2023 shift 1]
A travelling wave is described by the equation The velocity of the wave is : [all the quantities are in SI unit] [24-Jan-2023 Shift 1]
A mass attached to free end of a spring executes SHM with a period of . If the mass is increased by the period of oscillation increases by one second, the value of mass is ___ . [24-Jan-2023 Shift 2]
A metallic surface is illuminated with radiation of wavelength , the stopping potential is . If the same surface is illuminated with radiation of wavelength , the stopping potential becomes . [11-Apr-
The threshold wavelength for photoelectric emission from a material is . Photoelectrons will be emitted, when this material is illuminated with monochromatic radiation from a A. infra-red lamp B. infr
A car travels a distance of ' ' with speed and then same distance ' ' with speed in the same direction. The average speed of the car is: [25-Jan-2023 Shift 1]
A space ship of mass is launched into a circular orbit close to the earth surface. The additional velocity to be imparted to the space ship in the orbit to overcome the gravitational pull will be (if
Two planets and of radii and have densities and respectively. The ratio of acceleration due to gravity at the surface of to is : [13-Apr-2023 shift 2]
A point charge of is placed at the origin. At what location on the -axis should a point charge of be placed so that the net electric field is zero at on the -axis ? [25-Jan-2023 Shift 2]
Two identical solid spheres each of mass and radii are fixed at the ends of a light rod. The separation between the centres of the spheres is . The moment of inertia of the system about an axis perpen
The energy levels of an atom is shown is figure. Which one of these transitions will result in the emission of a photon of wavelength ? Given [25-Jan-2023 Shift 2]
A particle is executing simple harmonic motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be [12-Apr-2023 shift 1]
A person has been using spectacles of power diopter for distant vision and a separate reading glass of power diopters. What is the least distance of distinct vision for this person: [30-Jan-2023 Shift
In the given circuit, the equivalent resistance between the terminal and is_______ . [25-Jan-2023 Shift 1]
An air bubble of diameter rises steadily through a solution of density at the rate of . TGe co-efficient of viscosity of the solution (neglect density of air) is _______ Pas (given, ). [8-Apr-2023 shi
A projectile is projected at from horizontal with initial velocity . The velocity of the projectile at from the start will be :(Given ) [11-Apr-2023 shift 2]
Different combination of 3 resistors of equal resistance are shown in the figures. The increasing order for power dissipation is: [13-Apr-2023 shift 1]
The maximum potential energy of a block executing simple harmonic motion is 25 J. A is amplitude of oscillation. At A , the kinetic energy of the block is [31-Jan-2023 Shift 1]
The number density of free electrons in copper is nearly . A copper wire has its area of cross section and is carrying a current of . The drift speed of the electrons is ________ [8-Apr-2023 shift 2]
A thin cylindrical rod of length is placed horizontally on the principle axis of a concave mirror of focal length . The rod is placed in a such a way that mid point of the rod is at from the pole of m
A uniform solid cylinder with radius and length has moment of inertia , about the axis of cylinder. A concentric solid cylinder of radius and length is caned out of the original cylinder. If is the mo
Consider a block kept on an inclined plane (inclined at ) as shown in the figure. If the force required to just push it up the incline is 2 times the force required to just prevent it from sliding dow
A wire of length moving with velocity at right angles to a magnetic field of . The magnitude of induced emf, between the ends of wire will be ________. [25-Jan-2023 Shift 2]
A light rope is wound around a hollow cylinder of mass and radius . The rope is pulled with a force of . The angular acceleration of the cylinder will be _______ . [13-Apr-2023 shift 2]
Let , . Then is equal to [24-Jan-2023 Shift 2]
A parallel plate capacitor has plate area and plates separation . The space between the plates is filled with a dielectric medium of a thickness and dielectric constant 5 . The capacitance of the syst
The drift velocity of electrons for a conductor connected in an electrical circuit is . The conductor in now replaced by another conductor with same material and same length but double the area of cro
A battery connected to a coil of resistance through a switch, drives a constant current in the circuit. The switch is opened in . The emf induced across the coil is . The inductance of the coil is : [
With the help of potentiometer, we can determine the value of emf of a given cell. The sensitivity of the potentiometer is(A) directly proportional to the length of the potentiometer wire(B) directly
The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is : [15-Apr-2023 shift 1]
An electron is allowed to move with constant velocity along the axis of current carrying straight solenoid.A. The electron will experience magnetic force along the axis of the solenoid.B. The electron
As shown in the figure, a particle is moving with constant speed . Considering its motion from to , the magnitude of the average velocity is : [6-Apr-2023 shift 2]
A charge is divided into two parts and placed at distance so that the repulsive force between them is maximum. The charges of the two parts are: [13-Apr-2023 shift 2]
A child of mass is going round a merry-go-round that makes 1 rotation in . The radius of the merrygo-round is . The centrifugal force on the child will be [6-Apr-2023 shift 2]
Let and . Then is equal to [24-Jan-2023 Shift 1]
Given below are two statements: one is labelled asAssertion A and the other is labelled as Reason Assertion A: Steel is used in the construction of buildings and bridges.Reason R: Steel is more elasti
The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed by the observer are :-A. RealB. ErectC. Smaller in size then objectD. Laterally in
The electric current in a circular coil of four turns produces a magnetic induction at its centre. The coil is unwound and is rewound into a circular coil of single turn, the magnetic induction at the
The output waveform of the given logical circuit for the following inputs and as shown below, is: [30-Jan-2023 Shift 1]
A long wire having cross-sectional area and Young's modulus is is subjected to a load of , then the elongation in the wire will be : [24-Jan-2023 Shift 1]
For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is , the angular frequency is . When the mass block is the angular frequency is . Th
A single turn current loop in the shape of a right angle triangle with sides is carrying a current of . The loop is in a uniform magnetic field of magnitude whose direction is parallel to the current
Electron beam used in an electron microscope, when accelerated by a voltage of . has a de-Broglie wavelength of . If the voltage is increased to . then the de-Broglie wavelength associated with the el
A bicycle tyre is filled with air having pressure of at . The approximate pressure of the air in the tyre when the temperature increases to is [29-Jan-2023 Shift 1]
A lift of mass is descending with speed of . Its supporting cable begins to slip thus allowing it to fall with a constant acceleration of . The kinetic energy of the lift at the end of fall through to
A capacitor of capacitance is connected to an alternating source of emf given by . The maximum value of current in the circuit is approximatively equal to : [6-Apr-2023 shift 2]
An emf of is induced in a metal rod of length held normal to a uniform magnetic field of , when moves with a velocity of: [8-Apr-2023 shift 2]
Solid sphere is rotating about an axis PQ. If the radius of the sphere is then its radius of gyration about PQ will be . The value of is___ [24-Jan-2023 Shift 1]
As shown in the figure, two parallel plate capacitors having equal plate area of are joined in such a way that . The equivalent capacitance of the combination is F. The value of is _______. [6-Apr-202
Two objects AAA and BBB are placed at and from the pole in front of a concave mirror having radius of curvature . The distance between images formed by the mirror is: [1-Feb-2023 Shift 2]
If and represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless: [31-Jan-2023 Shift 1]
In an Isothermal change, the change in pressure and volume of a gas can be represented for three different temperature; as : [24-Jan-2023 Shift 2]
Glycerin of density is flowing through the conical section of pipe. The area of cross-section of the pipe at its ends are and and pressure drop across its length is . The rate of flow of glycerin thro
An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is . When viewed from the opposite side, the apparent distance of the bubble is observed as . If the side
Let PQR be a triangle. The points and are on the sides and PQ respectively such that . Then is equal to [24-Jan-2023 Shift 1]
A particle is moving with constant speed in a circular path. When the particle turns by an angle , the ratio of instantaneous velocity to its average velocity is . The value of will be - [6-Apr-2023 s
A potential is applied across a uniform wire of resistance . The power dissipation is . The wire is then cut into two equal halves and a potential of is applied across the length of each half. The tot
A single slit of width a is illuminated by a monochromatic light of wavelength . The value of 'a' for which first minimum appears at on the screen will be : [15-Apr-2023 shift 1]
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason RAssertion A : A spherical body of radius having a particular density is falling through a liquid of
For the plane electromagnetic wave given by and , the ratio of average electric energy density to average magnetic energy density is [6-Apr-2023 shift 1]
A current of through a wire of cross-sectional area . The number of free electrons in a cubic meter are . The drift velocity of the electrons is _______ (given, charge on electron ). [8-Apr-2023 shift
A spherical body of mass starting from rest acquires a kinetic energy of at the end of second. The force acted on the body is ___ . [24-Jan-2023 Shift 1]
Equivalent resistance between the adjacent corners of a regular -sided polygon of uniform wire of resistance would be: [1-Feb-2023 Shift 2]
If and then, The unit vector in the direction of is . The value of is [25-Jan-2023 Shift 1]
A body weight , is projected vertically upwards from earth's surface to reach a height above the earth which is equal to nine times the radius of earth. The weight of the body at that height will be:
A cell of emf is connected across series combination of two resistors each of resistance. A voltmeter of resistance is used to measure the potential difference across each resistor. The reading of the
Let be a quadrilateral. If and are the mid points of the diagonals and respectively and , then is equal to [15-Apr-2023 shift 1]
For the following circuit and given inputs and , chose the correct option for output ' ' [13-Apr-2023 shift 1]
Figure shows a part of an electric circuit. The potentials at points and are and respectively. The current through the resistor will be [6-Apr-2023 shift 2]
The position of a particle related to time is given by . The magnitude of velocity of the particle at will be : [15-Apr-2023 shift 1]
A certain pressure is applied to 1 litre of water and 2 litre of a liquid separately. Water gets compressed to whereas the liquid gets compressed to . The ratio of Bulk modulus of water to that of the
is moment of inertia of a circular disc about an axis (CM) passing through its center and perpendicular to the plane of disc. is it's moment of inertia about an axis perpendicular to plane and paralle
The output for the inputs and of circuit is given by Truth table of the shown circuit is : [30-Jan-2023 Shift 2]
Given below are two statements :Statement I: The equivalent resistance of resistors in a series combination is smaller than least resistance used in the combination.Statement II: The resistivity of th
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : EM waves used for optical communication have longer wavelength than that of microwave
A guitar string of length vibrates with a fundamental frequency of . The length of the string producing a fundamental frequency of will be ________ . [8-Apr-2023 shift 2]
A body cools from to in 5 minutes. The temperature of the surrounding is . The time it takes to cool from to is: [12-Apr-2023 shift 1]
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Efficiency of a reversible heat engine will be highest at temperature of cold reser
A gas is compressed adiabatically, which one of the following statement is NOT true. [10-Apr-2023 shift 2]
A vehicle travels with speed of and another with speed of , then its average speed is: [30-Jan-2023 Shift 2]
A zener diode of power rating is be used as voltage regulator. If the zener diode has a breakdown of and it has to regulate voltage fluctuating between and . The value of resistance for safe operation
Given below are two statements :Statement I : If the Brewster's angle for the light propagating from air to glass is , then Brewster's angle for the light propagating from glass to air is .Statement I
A solid sphere of mass and radius is rotated about one of its diameter with angular speed of . If the moment of inertia of the sphere about its tangent is times its angular momentum about the diameter
A metallic rod of length ' ' is rotated with an angular speed of ' ' normal to a uniform magnetic field ' ' about an axis passing through one end of rod as shown in figure. The induced emf will be : [
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason . Assertion A : The nuclear density of nuclides and can be arranged as .Reason : The radius of nucle
For designing a voltmeter of range and an ammeter of range using a galvanometer which has a coil of resistance showing a full scale deflection for as in figure.(A) for voltmeter (B) for ammeter (C) fo
An electric dipole of dipole moment is placed in a uniform electric field of in such a way that dipole moment is along electric field. The work done in rotating dipole by in this field will be _______
A stone of mass is tied to end of a massless string of length . If the breaking tension of the string is , then maximum linear velocity, the stone can have without breaking the string, while rotating
At a given point of time the value of displacement of a simple harmonic oscillator is given as . If amplitude is and kinetic energy at that time is , the value of force constant is . The value of is _
If a source of electromagnetic radiation having power produces photons per second, the radiation belongs to a part of spectrum is.(Take Planck constant ) [31-Jan-2023 Shift 1]
Electric potential at a point ' ' due to a point charge of is . The distance of ' ' from the point charge is:(Assume, ) [8-Apr-2023 shift 2]
Match List I with List II List List II A. Young's Modulus (Y) I. B. Co-efficient of Viscosity II. C. Planck's Constant (h) III. D. Work Function IV. Choose the correct answer from the options given be
A electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be : [12-Apr-2023 shift 1]
An oscillating LC circuit consists of a inductor and a capacitor. If the maximum charge to the capacitor is . The maximum current in the circuit will be ________ . [8-Apr-2023 shift 1]
Choose the correct answer from the options given below: [30-Jan-2023 Shift 1]
Let be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and be the similar ratio of diatomic gas. Considering the diatomic gas molec
The de Broglie wavelength of a molecule in a gas at room temperature is . If the temperature of the gas is increased to , then the de Broglie wavelength of the same gas molecule becomes [10-Apr-2023 s
A body of mass begins to move under the action of a time dependent force . where and are the unit vectors along and axis. The power developed by above force, at the time . will be____ W. [24-Jan-2023
A point object, ' O ' is placed in front of two thin symmetrical coaxial convex lenses and with focal length and respectively. The distance between two lenses is and the object is placed away from len
Two satellites A and B move round the earth in the same orbit. The mass of A is twice the mass of B. The quantity which is same for the two satellites will be [12-Apr-2023 shift 1]
In a Young's double slits experiment, the ratio of amplitude of light coming from slits is 2:12: 12:1. The ratio of the maximum to minimum intensity in the interference pattern is : [13-Apr-2023 shift
The ratio of magnetic field at the centre of a current carrying coil of radius to the magnetic field at distance from the centre of coil on its axis is . The value of is _______. [8-Apr-2023 shift 2]
Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius , with distance from the centre is represented by: [8-Apr-2023 shift 1]
A current carrying rectangular loop PQRS is made of uniform wire. The length and . If ammeter current reading changes from I to 2I, the ratio of magnetic forces per unit length on the wire due to wire
A car is moving on a circular path of radius such that the magnitudes of the tangential acceleration and centripetal acceleration are equal. The time taken by the car to complete first quarter of revo
Unpolarised light of intensity passes through the combination of three polaroids such that the pass axis of the last polaroid is perpendicular to that of the pass axis of first polaroid. If intensity
A body is moving with constant speed, in a circle of radius . The body completes one revolution in . At the end of second, the displacement of body (in ) from its starting point is: [31-Jan-2023 Shift
A source supplies heat to a system at the rate of . If the system performs work at a rate of . The rate at which internal energy of the system increase is [6-Apr-2023 shift 1]
According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is :- [25-Jan-2023 Shift 2]
Let be the set of all for which the vectors and , where , are coplanar, then is equal to [15-Apr-2023 shift 1]
A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping. The ratio of their radius of gyrations respectively is . The value of is _______. [15-
Force acts for on a body of mass , starting from rest, after which the force ceases and then body describes in the next . The value of force will be : [29-Jan-2023 Shift 2]
of water at is converted into steam at by boiling at atmospheric pressure. The volume of water changes from as a liquid to as steam. The change in internal energy of the system during the process will
In the equation is pressure, is volume, is universal gas constant ant is temperature. The physical quantity equivalent to the ratio is : [13-Apr-2023 shift 2]
Heat energy of is given to a diatomic gas allowing the gas to expand at constant pressure. Each gas molecule rotates around an internal axis but do not oscillate. The increase in the internal energy o
Match List I with List II of Electromagnetic waves with corresponding wavelength range : List I List II (A) Microwave (I) to (B) Ultraviolet (II) to (C) X-Ray (III) to (D) Infra-rad (IV) to Choose the
A circular plate is rotating horizontal plane, about an axis passing through its center perpendicular to the plate, with an angular velocity . A person sits at the center having two dumbbells in his h
A single current carrying loop of wire carrying current flowing in anticlockwise direction seen from +ve direction and lying in plane in shown in figure. The plot of component of magnetic field ( ) at
Given below are two statements :Statement-I: Acceleration due to gravity is different at different places on the surface of earth.Statement-II: Acceleration due to gravity increases as we go down belo
In a series circuit with . power factor is . If a capacitor of capacitance with is added to the circuit the power factor becomes . The ratio of to will be : [30-Jan-2023 Shift 1]
An electron is moving along the positive -axis. If the uniform magnetic field is applied parallel to the negative z-axis, thenA. The electron will experience magnetic force along positive y-axisB. The
Given below are two statements :Statement I : Out of microwaves, infrared rays and ultraviolet rays, ultraviolet rays are the most effective for the emission of electrons from a metallic surface.State
Given below are two statements:Statement I : Rotation of the earth shows effect on the value of acceleration due to gravity (g)Statement II : The effect of rotation of the earth on the value of ' ' at
Let the vectors represent three coterminous edges of a parallelepiped of volume V. Then the volume of the parallelepiped, whose coterminous edges are represented by and is equal to : [6-Apr-2023 shift
A vessel of depth is half filled with oil of refractive index and the other half is filled with water of refractive index . The apparent depth of this vessel when viewed from above will be - [13-Apr-2
A small particle moves to position from its initial position under the action of force . The value of work done will be _______ J. [1-Feb-2023 Shift 1]
The correct relation between and temperature is: [31-Jan-2023 Shift 1]
A fully loaded boeing aircraft has a mass of . Its total wing area is . It is in level flight with a speed of . If the density of air is , the fractional increase in the speed of the air on the upper
Heat energy of is given to ice of mass at , Specific heat of ice is and latent heat of ice in (A) Final temperature of system will be .(B) Final temperature of the system will be greater than .(C) The
A point source of light is placed at the centre of curvature of a hemispherical surface. The source emits a power of The radius of curvature of hemisphere is and the inner surface is completely reflec
The amount of thermal energy is developed by a resistor in when a current of is passed through it. If the current is increased to , the thermal energy developed by the resistor in will be: [31-Jan-202
A uniform electric field of is created between two parallel charged plates (as shown in figure). An electron enters the field symmetrically between the plates with a kinetic energy . The length of eac
The ratio of de-Broglie wavelength of an -particle and a proton accelerated from rest by the same potential is , the value of is [29-Jan-2023 Shift 2]
An engine operating between the boiling and freezing points of water will haveA. efficiency more than B. efficiency less than the efficiency of a Carnot engine operating between the same two temperatu
If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be: [11-Apr-2023 shift 2]
A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is . Their respective speed have a ratio of . The value of is _______ [11-Apr-2023 shift 2]
An aluminium rod with Young's modulus undergoes elastic strain of . The energy per unit volume stored in the rod in SI unit is: [8-Apr-2023 shift 1]
The ratio of powers of two motors is , that are capable of raising water in 5 minutes and water in 2 minutes respectively from a well of deep. The value of will be [13-Apr-2023 shift 1]
In the following circuit, the magnitude of current , is ______ A. [30-Jan-2023 Shift 1]
A proton with a kinetic energy of moves into a region of uniform magnetic field of magnitude . The angle between the direction of magnetic field and velocity of proton is . The pitch of the helical pa
A long metallic rod is rotated with about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic f
A common example of alpha decay is The energy released (Q) during the alpha decay of is _______ [12-Apr-2023 shift 1]
A convex lens of refractive index 1.5 and focal length 18 cm in air is immersed in water. The change in focal length of the lens will be cm. (Given refractive index of water = ) [24-Jan-2023 Shift 2]
A particle executes SHM of amplitude A. The distance from the mean position when its's kinetic energy becomes equal to its potential energy is : [13-Apr-2023 shift 2]
As per the given graph, choose the correct representation for curve and curve . Where reactance of pure capacitive circuit connected with .C. source reactance of pure inductive circuit connected with
The mean free path of molecules of a certain gas at STP is , where is the diameter of the gas molecules. While maintaining the standard pressure, the mean free path of the molecules at is approximatel
Given below are two statements :Statement I : Stopping potential in photoelectric effect does not depend on the power of the light source.Statement II : For a given metal, the maximum kinetic energy o
If two vectors and are perpendicular to each other.Then, the value of will be : [24-Jan-2023 Shift 2]
Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose the correct statement out of the following {Assume negligible air friction} [31-J
Vectors and are perpendicular to each other when , the ratio of a to is . The value of is____ [24-Jan-2023 Shift 1]
The equivalent capacitance of the combination shown is [10-Apr-2023 shift 1]
In a metre bridge experiment the balance point in obtained if the gaps are closed by and . A shunt of is added to resistor to shift the balancing point by . The value of is _______ [29-Jan-2023 Shift
In the given figure, an inductor and a resistor are connected in series with a batter of emf volt. represents the maximum rate at which the energy is stored in the magnetic field (inductor). The numer
The ratio of the density of oxygen nucleus and helium nucleus is [25-Jan-2023 Shift 1]
An ideal transformer with purely resistive load operates at on the primary side. It supplies electrical energy to a number of nearby houses at . The average rate of energy consumption in the houses se
An -particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in case of their De-Broglie wavelength: [24-Jan-2023 Shift 2]
A body of mass moves along -axis such that it's velocity varies with displacement according to the relation the force acting on the body is:- [11-Apr-2023 shift 2]
A Carnot engine operating between two reservoirs has efficiency . When the temperature of cold reservoir raised by , its efficiency decreases to . The value of , if the temperature of hot reservoir is
LIST I LIST II A. Spring constant I. B. Angular speed II. C. Angular momentum III. D. Moment of Inertia IV. Choose the correct answer from the options given below : [12-Apr-2023 shift 1]
The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, . If the tube is dipped in a similar manner in another liquid of surface tension and den
At , the rms speed of oxygen molecules is times to that of its average speed in the gas. Then, the value of will be (used ) [29-Jan-2023 Shift 2]
In an ac generator, a rectangular coil of 100 turns each having area is rotated at about an axis perpendicular to a uniform magnetic field of magnitude . The maximum value of the emf produced will be
The width of fringe is on the screen in a double slits experiment for the light of wavelength of . The width of the fringe for the light of wavelength will be: [8-Apr-2023 shift 2]
Two polaroide AAA and BBB are placed in such a way that the pass-axis of polaroids are perpendicular to each other. Now, another polaroid CCC is placed between AAA and BBB bisecting angle between them
In an n-p-n common emitter (CE) transistor the collector current changes from to for the change in base current from and , respectively. The current gain of transistor is _______. [12-Apr-2023 shift 1
The electric potential at the centre of two concentric half rings of radii and , having same linear charge density is [24-Jan-2023 Shift 2]
A charge particle of accelerated by a potential difference of enters a region of uniform magnetic field of magnitude at right angle to the direction of field. The charge particle completes semicircle
Two bodies are having kinetic energies in the ratio . If they have same linear momentum, the ratio of their masses respectively is: [13-Apr-2023 shift 1]
A coin placed on a rotating table just slips when it is placed at a distance of from the center. If the angular velocity of the table in halved, it will just slip when placed at a distance of _______
A stone is projected at angle to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be : [29-Jan-2023 Shift 1]
A Spherical ball of radius and density is dropped in glycerine of coefficient of viscosity poise and density . Viscous force on the ball when it attains constant velocity is . The value of is(Given, a
A block of mass starting from rest pulled up on a smooth incline plane making an angle of with horizontal with an affective acceleration of . The power delivered by the pulling force at from the start
The charge flowing in a conductor changes with time as . Where and are constants. Minimum value of current is : [30-Jan-2023 Shift 1]
From the given transfer characteristic of a transistor in CE configuration, the value of power gain of this configuration is , for . The value of is ________ [13-Apr-2023 shift 1]
Two simple harmonic waves having equal amplitudes of and equal frequency of are moving along the same direction. The resultant amplitude is also . The phase difference between the individual waves is
The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is : [6-Apr-2023 shift 2]
A mercury drop of radius is broken into 125 equal size droplets. Surface tension of mercury is . The gain in surface energy is: [1-Feb-2023 Shift 1]
The position vector of a particle related to time is given by . The direction of net force experienced by the particle is : [15-Apr-2023 shift 1]
Two long parallel wires carrying currents and in opposite directions are placed at a distance of from each other. A point is at equidistant from both the wires such that the lines joining the point to
A steel wire with mass per unit length is under tension of . The speed of transverse waves in the wire will be: [1-Feb-2023 Shift 1]
A point source of 100 emits light with 5% efficiency. At a distance of 5 from the source, the intensity produced by the electric field component is : [30-Jan-2023 Shift 2]
A straight wire of mass and length is suspended by a pair of flexible leads in uniform magnetic field of magnitude as shown in the figure. The magnitude of the current required in the wire to remove t
When a resistance of is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of , however when resistance is connected with it in series, it gives full scale deflect
The radius of fifth orbit of the is _______ Take : radius of hydrogen atom [6-Apr-2023 shift 1]
The speed of a wave produced in water is given by . Where and are wavelength of wave, acceleration due to gravity and density of water respectively. The values of and respectively, are : [15-Apr-2023
A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube long and in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is: [25-
A scientist is observing a bacteria through a compound microscope. For better analysis and to improve its resolving power he should. (Select the best option) [29-Jan-2023 Shift 2]
A vector in plane makes an angle of with -axis. The magnitude of y-component of vector is . The magnitude of -component of the vector will be : [15-Apr-2023 shift 1]
The root mean square speed of molecules of nitrogen gas at is approximately : (Given mass of a nitrogen molecule and take Boltzmann constant ) [11-Apr-2023 shift 2]
represents the equation of state of some gases. Where is the pressure, is the volume, is the temperature and are the constants. The physical quantity, which has dimensional formula as that of , will b
The magnetic intensity at the center of a long current carrying solenoid is found to be . If the number of turns is 8 per , then the current flowing through the solenoid is _______ A. [8-Apr-2023 shif
An object is allowed to fall from a height above the earth, where is the radius of earth. Its velocity when it strikes the earth's surface, ignoring air resistance, will be : [30-Jan-2023 Shift 2]
The free space inside a current carrying toroid is filled with a material of susceptibility . The percentage increase in the value of magnetic field inside the toroid will be [11-Apr-2023 shift 1]
Three point charges and are placed on -axis at a distance and respectively from origin as shown. If and , the magnitude of net force experienced by the charge is _______ N. [13-Apr-2023 shift 2]
For the given figures, choose the correct options: [29-Jan-2023 Shift 2]
In the given circuit the value of is: [1-Feb-2023 Shift 2]
The displacement equations of two interfering waves are given by The amplitude of the resultant wave is ____ . [31-Jan-2023 Shift 2]
An electron accelerated through a potential difference has a de-Broglie wavelength of . When the potential is changed to , its de-Broglie wavelength increases by 50%. The value of is equal to : [30-Ja
An object moves with speed , and along a line segment and respectively as shown in figure. Where and , then average speed of the object will be : [1-Feb-2023 Shift 1]
A pole is vertically submerged in swimming pool, such that it gives a length of shadow within water when sunlight is incident at an angle of with the surface of water. If swimming pool is filled to a
A radioactive element emits two -particles, one electron and two positrons. The product nucleus is represented by . The value of is _______ [29-Jan-2023 Shift 1]
A spherical drop of liquid splits into 1000 identical spherical drops. If is the surface energy of the original drop and is the total surface energy of the resulting drops, the (ignoring evaporation).
For the given logic gates combination, the correct truth table will be [29-Jan-2023 Shift 2]
Match List-I with List-II. List-I List-II A. Angular momentum I. B. Torque II. C. Stress III. D. Pressure gradient IV. Choose the correct answer from the options given below: [31-Jan-2023 Shift 2]
The initial pressure and volume of an ideal gas are and . The final pressure of the gas when the gas is suddenly compressed to volume will be :(Given ratio of specific heats at constant pressure and a
An alternating voltage source is connected across a pure inductor of . Inductive reactance in the circuit is: [31-Jan-2023 Shift 2]
A monochromatic light wave with wavelength and frequency in air enters another medium. If the angle of incidence and angle of refraction at the interface are and respectively, then the wavelength and
Given below are two statements :Statements I : If the number of turns in the coil of a moving coil galvanometer is doubled then the current sensitivity becomes double.Statements II : Increasing curren
As shown in the figure, a point charge is placed at the centre of conducting spherical shell of inner radius and outer radius . The electric field due to charge Q in three different regions I, II and
A uniform metallic wire carries a current . when battery is connected across it. The mass of uniform metallic wire is . density is and resistivity is . The length of wire is : [25-Jan-2023 Shift 1]
A hydraulic automobile lift is designed to lift vehicles of mass . The area of cross section of the cylinder carrying the load is . The maximum pressure the smaller piston would have to bear is [Assum
The pressure and temperature relationship of an ideal gas obeys the equation constant. The volume expansion coefficient of the gas will be: [30-Jan-2023 Shift 1]
The current flowing through a conductor connected across a source is and at and respectively. The current flowing through the conductor at will be ______ [12-Apr-2023 shift 1]
Identify the correct statements from the following:(A) Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket is negative.(B) Work done by gravitational force in li
For a charged spherical ball, electrostatic potential inside the ball varies with as .Here, and are constant and is the distance from the center. The volume charge density inside the ball is . The val
The number of turns of the coil of a moving coil galvanometer is increased in order to increase current sensitivity by . The percentage change in voltage sensitivity of the galvanometer will be: [31-J
A body cools in 7 minutes from to . The temperature of the surrounding is . The temperature of the body after the next 7 minutes [6-Apr-2023 shift 2]
At a certain depth "d" below surface of earth. value of acceleration due to gravity becomes four times that of its value at a height above earth surface. Where is Radius of earth (Take ). The depth is
For a uniformly charged thin spherical shell, the electric potential radially away from the entre of shell can be graphically represented as - [6-Apr-2023 shift 1]
64 identical drops each charged upto potential of are combined to form a bigger drop. The potential of the bigger drop will be _______ . [12-Apr-2023 shift 1]
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.Assertion A : For measuring the potential difference across a resistance of , the voltmeter with re
The kinetic energy of an electron, -particle and a proton are given as and respectively. The de-Broglie wavelength associated with electron ( ), -particle ( ) and the proton ( ) are as follows : [6-Ap
A parallel plate capacitor of capacitance is charged to a potential , The energy stored in the capacitor is . The capacitor is now connected to another uncharged identical capacitor in parallel combin
A dipole comprises of two charged particles of identical magnitude and opposite in nature. The mass ' ' of the positive charged particle is half of the mass of the negative charged particle. The two c
Under isothermal condition, the pressure of a gas is given by , where is a constant and is the volume of the gas. The bulk modulus at constant temperature is equal to [13-Apr-2023 shift 1]
A Carnot engine with efficiency takes heat from a source at . In order to increase the efficiency to , keeping the temperature of sink same, the new temperature of the source will be : [25-Jan-2023 Sh
Give below are two statementsStatement I : Area under velocity- time graph gives the distance travelled by the body in a given time.Statement II : Area under acceleration- time graph is equal to the c
A series LCR circuit is connected to an source of . The circuit contains a resistance , an inductor of inductive reactance , and a capacitor of capacitive reactance . The power factor of circuit is .
The elastic potential energy stored in a steel wire of length stretched through is . The cross sectional area of the wire is ________ Given, ) . [13-Apr-2023 shift 1]
Assume that protons and neutrons have equal masses. Mass of a nucleon is and radius of nucleus is . The approximate ratio of the nuclear density and water density is . The value of is____ [24-Jan-2023
The sum of all values of , for which the points whose position vectors are and are coplanar, is equal to : [6-Apr-2023 shift 2]
A block is fastened to a horizontal spring. The block is pulled to a distance from its equilibrium position (at ) on a frictionless surface from rest. The energy of the block at is . The spring consta
Given below are two statements :Statements I : Astronomical unit , Parsec and Light year (ly) are units for measuring astronomical distances.Statements II : Parsec lyIn the light of the above statemen
In the given circuit, , The charge stored on capacitor is ________ . [11-Apr-2023 shift 2]
The radii of two planets 'A' and 'B' are 'R' and '4R' and their densities are and respectively. The ratio of acceleration due to gravity at their surfaces will be : [11-Apr-2023 shift 1]
The frequency of an oscillating liquid drop may depend upon radius (r) of the drop, density of liquid and the surface tension (s) of the liquid as : . The values of and respectively are [24-Jan-2023 S
A rectangular block of mass attached to a horizontal spiral spring executes simple harmonic motion of amplitude and time period . The maximum force exerted by spring on block is ________ N. [10-Apr-20
Two identical particles each of mass ' ' go round a circle of radius a under the action of their mutual gravitational attraction. The angular speed of each particle will be : [15-Apr-2023 shift 1]
A block of mass is moving along -axis under the action of force . The work done by the force in moving the block from to will be _______ J. [15-Apr-2023 shift 1]
A proton and an -particle are accelerated from rest by and potentials, respectively. The ratio of their de-Broglie wavelength is : [12-Apr-2023 shift 1]
Choose the incorrect statement from the following : [6-Apr-2023 shift 2]
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason RAssertion A : When you squeeze one end of a tube to get toothpaste out from the other end. Pascal's
A planet has double the mass of the earth. Its average density is equal to that of the earth. An object weighing on earth will weigh on that planet: [6-Apr-2023 shift 1]
The radius of orbit of of Bohr's model is and that of fourth orbit of is represented as . Now the ratio is . The value of is __________ [13-Apr-2023 shift 1]
A car accelerates from rest to . The energy spent in this process is . The energy required to accelerate the car from to is . The value of is _______. [13-Apr-2023 shift 2]
Two convex lenses of focal length each are placed coaxially with a separation of between them. The image of the distant object formed by the combination is at _______ from the first lens. [12-Apr-2023
Consider two containers A and B containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). The gas in A is compressed isothermally to of its original volume while the gas in
Math List I with List IIChoose the correct answer from the option given below: [25-Jan-2023 Shift 1]
The equivalent resistance between and is [30-Jan-2023 Shift 2]
If a copper wire is stretched to increase its length by . The percentage increase in resistance of the wire is___ . [24-Jan-2023 Shift 2]
The graph between two temperature scales and is shown in the figure. Between upper fixed point and lower fixed point there are 150 equal divisions of scale and 100 divisions on scale . The relationshi
Let and . If is a vector such that and , then is equal to _______. [11-Apr-2023 shift 2]
Match List I with List II LIST I LIST II A. Planck's constant (h) I. B. Stopping potential (Vs) II. C. Work function (Ø) III. D. Momentum (p) IV. [24-Jan-2023 Shift 1]
In a screw gauge, there are 100 divisions on the circular scale and the main scale moves by on a complete rotation of the circular scale. The zero of circular scale lies 6 divisions below the line of
A capacitor is charged by supply. It is then disconnected from the supply and is connected to another uncharged capacitor. Electrostatic energy lost in the process is _______ [8-Apr-2023 shift 2]
Given below are two statements : one is labeled as Assertion A and the other is labeled as Reason Assertion A: Photodiodes are used in forward bias usually for measuring the light intensity.Reason R:
Given below are two statements:Statement I : For diamagnetic substance, , where is the magnetic susceptibility.Statement II : Diamagnetic substances when placed in an external magnetic field, tend to
Two charges each of magnitude and separated by a distance of constitute an electric dipole. If the dipole is placed in an uniform electric field of 10 dyne/C making angle with , the magnitude of torqu
In a medium the speed of light wave decreases to 0.2 times its speed in free space The ratio of relative permittivity to the refractive index of the medium is . The value of is _______.(Given speed of
If two charges and are separated with distance ' ' and placed in a medium of dielectric constant . What will be the equivalent distance between charges in air for the same electrostatic force ? [24-Ja
The equivalent resistance between and as shown in figure is: [8-Apr-2023 shift 2]
The maximum vertical height to which a man can throw a ball is . The maximum horizontal distance upto which he can throw the same ball is [24-Jan-2023 Shift 1]
A parallel plate capacitor with air between the plate has a capacitance of . The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant 3.
A thin rod having a length of and area of cross-section is suspended vertically from one end. The rod is cooled from to . After cooling, a mass is attached at the lower end of the rod such that the le
There is an air bubble of radius in a liquid of surface tension and density at a depth of below the free surface. The amount by which the pressure inside the bubble is greater than the atmospheric pre
In the circuit diagram shown in figure given below, the current flowing through resistance is . The value of is ________ [11-Apr-2023 shift 1]
Given below are two statements:Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface.Statement II: Acceleration due to earth's gravity is same at a h
A long conducting wire having a current I flowing through it, is bent into a circular coil of turns. Then it is bent into a circular coil of turns. The magnetic field is calculated at the centre of co
Every planet revolves around the sun in an elliptical orbit :A. The force acting on a planet is inversely proportional to square of distance from sun.B. Force acting on planet is inversely proportiona
A null point is found at in potentiometer when cell in secondary circuit is shunted by . When a resistance of is used for shunting null point moves to . The internal resistance of the cell is ______ .
The distance between two plates of a capacitor is and its capacitance is , when air is the medium between the plates. If a metal sheet of thickness and of the same area as plate is introduced between
Two trains 'A' and 'B' of length ' ' and ' ' are travelling into a tunnel of length ' ' in parallel tracks from opposite directions with velocities and , respectively. If train 'A' takes less time tha
At any instant the velocity of a particle of mass is . If the force acting on the particle at is . Then the value of will be: [8-Apr-2023 shift 1]
Match List I with List II LIST - I LIST - II A. Torque I. B. Stress II. C. Pressure gradient III. D. Coefficient of viscosity IV. Choose the correct answer from the options given below: [8-Apr-2023 sh
An LCR series circuit of capacitance and resistance of . is connected to an A.C. source of frequency . For maximum value of amplitude of current in circuit, the value of inductance is ________ .(take
A series LCR circuit consists of , and The input voltage is V. The amplitude of current, in the circuit, is ________ A. [31-Jan-2023 Shift 2]
The ratio of escape velocity of a planet to the escape velocity of earth will be :-Given : Mass of the planet is 16 times mass of earth and radius of the planet is 4 times the radius of earth. [12-Apr
A passenger sitting in a train A moving at observes another train B moving in the opposite direction for . if the velocity of the train B is , then length of train B is : [13-Apr-2023 shift 2]
An object moves at a constant speed along a circular path in a horizontal plane with centre at the origin. When the object is at , its velocity is . The object's velocity (v) and acceleration (a) at w
A flask contains hydrogen and oxygen in the ratio of by mass at temperature . The ratio of average kinetic energy per molecule of hydrogen and oxygen respectively is : [30-Jan-2023 Shift 2]
The magnetic field B crossing normally a square metallic plate of area is changing with time as shown in figure. The magnitude of induced emf in the plate during to , is _______ . [11-Apr-2023 shift 1
For a train engine moving with speed of . the driver must apply brakes at a distance of before the station for the train to come to rest at the station. If the brakes were applied at half of this dist
If the velocity of light , universal gravitational constant and planck's constant are chosen as fundamental quantities. The dimensions of mass in the new system is: [1-Feb-2023 Shift 2]
The magnitude of magnetic induction at mid-point due to current arrangement as shown in Fig will be : [29-Jan-2023 Shift 1]
The critical angle for a denser-rarer interface is . The speed of light in rarer medium is . The speed of light in the denser medium is : [11-Apr-2023 shift 1]
The output from a NAND gate having inputs A and B given below will be, [13-Apr-2023 shift 2]
For a periodic motion represented by the equation the amplitude of the motion is [10-Apr-2023 shift 2]
The resistance of a wire is . It's new resistance in ohm if stretched to 5 times of it's original length will be : [25-Jan-2023 Shift 2]
A square loop of area has a resistance of . The loop is placed in uniform magnetic field of magnitude 40.0 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loo
Two equal positive point charges are separated by a distance . The distance of a point from the centre of the line joining two charges on the equatorial line (perpendicular bisector) at which force ex
The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross - section. Cross sectional areas at is , and is , if the speed of liquid at is then is: (Given and are l
Match List-I with List-II. List-I List-II A. Microwaves I. Physiotherapy B. UV rays II. Treatment of cancer C. Infra-red rays III.Lasik eye surgery D. X-rays IV. Aircraft navigationChoose the correct
A body cools from to in 6 minutes. If, temperature of surroundings is . Then, after the next 6 minutes, its temperature will be . [29-Jan-2023 Shift 1]