JEE Main 2025 Previous Year Question Paper with Solutions

X g of benzoic acid on reaction with aq. released that occupied 11.2 L volume at STP. X is ______ g.

In and the hybridization at the central atom are respectively

Consider the following chemical equilibrium of the gas phase reaction at a constant temperature : If being the total pressure, is the pressure equilibrium constant and is the degree of dissociation, t

If is ionised in an aqueous solution, then the value of van't Hoff factor (i) is_____

The extra stability of half-filled subshell is due to: (A) Symmetrical distribution of electrons(B) Smaller coulombic repulsion energy(C) The presence of electrons with the same spin in non-degenerate

The number of optically active products obtained from the complete ozonolysis of the given compound is

Find the compound ' A ' from the following reaction sequences.

For hydrogen like species, which of the following graphs provides the most appropriate representation of E vs Z plot for a constant n ?[ E : Energy of the stationary state,Z : atomic number, principal

The number of paramagnetic complex among , and , which involved hybridization is

The calculated spin-only magnetic moments of and respectively are :

For reaction The correct order of set of reagents for the above conversion is :

Compounds that should not be used as primary standards in titrimetric analysis are : A. B. Oxalic acid C. NaOH D. E. Sodium tetraborate Choose the most appropriate answer from the options given below:

The elemental composition of a compound is and . If the molar mass of the compound is , the molecular formula of the compound is: [Given: The relative atomic mass of :

Standard entropies of and are 70,50 and respectively. The temperature in Kelvin at which the reaction will be at equilibrium is ______ . (Nearest integer)

The number of molecules/ions that show linear geometry among the following is ______

Which one of the following reaction sequences will give an azo dye?

Given below are two statements : Statement (I) : It is impossible to specify simultaneously with arbitrary precision, both the linear momentum and the position of a particle.Statement (II) : If the un

Consider the given plots of vapour pressure (VP) vs temperature (T/K). Which amongst the following options is correct graphical representation showing . depression in the freezing point of a solvent i

Given below are two statements: Statement (I): For , all three possible structures may be drawn as follows. Statement (II): Structure III is most stable, as the orbitals having the lone pairs are axia

If C (diamond) (graphite) diamond C (graphite) at constant temperature. Then

Consider the following reaction occurring in the blast furnace : ' ' kg of iron is produced when and are brought together in the furnace. The value of ' ' is ______ . (Nearest integer)[Given : molar m

In Dumas' method for estimation of nitrogen 0.4 g of an organic compound gave 60 mL of nitrogen collected at 300 K temperature and 715 mm Hg pressure. The percentage composition of nitrogen in the com

Formation of , a purple coloured complex formed by addition of sodium nitroprusside in sodium carbonate extract of salt indicates the presence of

Given below are two statements : Statement (1 ): NaCl is added to the ice at , present in the ice cream box to prevent the melting of ice cream. Statement (II): On addition of NaCl to ice at , there i

The correct decreasing order of spin only magnetic moment values (BM) of and ions is:

Consider the following equilibrium, 0.1 mol of CO along with a catalyst is present in a flask maintained at 500 K . Hydrogen is introduced into the flask until the pressure is 5 bar and 0.04 mol of is

During " S " estimation, 160 mg of an organic compound gives 466 mg of barium sulphate. The percentage of Sulphur in the given compound is______ \%. (Given molar mass in of ,

Given below are two statements: Statement I : Wet cotton clothes made of cellulose based carbohydrate takes comparatively longer time to get dried than wet nylon polymer based clothes. Statement II: I

Number of stereoisomers possible for the complexes, and are respectively(py = pyridine, ox = oxalate)

Pair of transition metal ions having the same number of unpaired electrons is

Identify the correct statement among the following:

One mole of an ideal gas expands isothermally and reversibly from to at and work done in the process respectively areGiven :

In which of the following complexes the CFSE, will be equal to zero?

The major product (A) formed in the following reaction sequence is

Designate whether each of the following compounds is aromatic or not aromatic.

10 mL of 2 M NaOH solution is added to 20 mL of 1 M HCl solution kept in a beaker. Now, 10 mL of this mixture is poured into a volumetric flask of 100 mL containing 2 moles of HCl and made the volume

The correct order of and complex species based on the number of unpaired electrons present is

A solution of aluminium chloride is electrolysed for 30 minutes using a current of 2 A . The amount of the aluminium deposited at the cathode is ______[Given: molar mass of aluminium and chlorine are

Among the following cations, the number of cations which will give characteristic precipitate in their identification tests with is ______ .

Which of the following electronegativity order is incorrect?

Choose the correct answer from the options given below

In a multielectron atom, which of the following orbitals described by three quantum numbers will have same energy in absence of electric and magnetic fields?A. B. C. D. E. Choose the correct answer fr

Arrange the following in increasing order of solubility product:

Consider the following statements related to temperature dependence of rate constants. Identify the correct statements. A. The Arrhenius equation holds true only for an elementary homogenous reaction.

The most stable carbocation from the following is

Identify the homoleptic complex(es) that is/are low spin. (A) (B) (C) (D) (E) Choose the correct answer from the options given below:

For the reaction, Attainment of equilibrium is predicted correctly by:

What amount of bromine will be required to convert 2 g of phenol into 2,4,6-tribromophenol?(Given molar mass in of are 12, 1, 16, 80 respectively)

The metal ion whose electronic configuration is not affected by the nature of the ligand and which gives a violet colour in non-luminous flame under hot condition in borax bead test is

Which of the following electrolyte can be used to obtain by the process of electrolysis?

Total enthalpy change for freezing of 1 mol of water at to ice at is (Given :

Rate law for a reaction between and is given by If concentration of is doubled and concentration of is halved from their initial value, the ratio of new rate of reaction to the initial rate of reactio

Consider the above sequence of reactions. 151 g of 2-bromopentane is made to react. Yield of major product is whereas is . Mass of product Q obtained is g. (Given molar mass in : 80)

List - I (Complex) List - I (Hybridisation of central metal ion) (A) (I) (B) (II) (C) (III) Choose the correct answer from the options given below:

Match List-I with List-II Choose the correct answer from the options given below:

The d-electronic configuration of an octahedral Co (II) complex having magnetic moment of 3.95 BM is:

Which of the following postulate of Bohr's model of hydrogen atom is not in agreement with quantum mechanical model of an atom?

Given below are two statements: Statement (I) : The first ionisation enthalpy of group 14 elements is higher than the corresponding elements of group 13. Statement (II) : Melting points and boiling po

Propane molecule on chlorination under photochemical condition gives two di-chloro products, " " and " ". Amongst " " and " ", " " is an optically active molecule. How many tri-chloro products (consid

0.1 mol of the following given antiviral compound (P) will weigh _____ (Given : molar mass in :

A toxic compound "A" when reacted with NaCN in aqueous acidic medium yields an edible cooking component and food preservative " B ". " B " is converted to " C " by diborane and can be used as an addit

Consider the following elements and Ge .The most stable oxidation states of elements with highest and lowest first ionisation enthalpies, respectively, are

Given below are two statements: Statement I: is more acidic than Statement II: has higher bond enthalpy for dissociation than In the light of the above statement, choose the correct answer from the op

Quantitative analysis of an organic compound (X) shows following \% composition.C : 14.5\%Cl : 64.46\%H: 1.8\%(Empirical formula mass of the compound is______ (Given molar mass in of :

The incorrect relationship in the following pairs in relation to ionisation enthalpies is

Aldol condensation is a popular and classical method to prepare -unsaturated carbonyl compounds. This reaction can be both intermolecular and intramolecular. Predict which one of the following is not

Which one of the carbocations from the following is most stable?

At the sea level, the dry air mass percentage composition is given as nitrogen gas: 70.0 , oxygen gas: 27.0 and argon gas: 3.0 . If total pressure is 1.15 atm , then calculate the ratio of following r

Given below are two statements: Statement 1: Vanillin react with NaOH and also with Tollen's reagent. Statement 2: Vanillin undergo self aldol condensation very easily. In the light of the above state

The maximum covalency of a non-metallic group 15 element ' ' with weakest bond is

In Dumas' method 292 mg of an organic compound released 50 mL of nitrogen gas at 300 K temperature and 715 mm Hg pressure. The percentage composition of ' N ' in the organic compound is % (Nearest int

Given below is the plot of the molar conductivity vs for KCl in aqueous solution.If, for the higher concentration of KCl solution, the resistance of the conductivity cell is 100 W , then the resistanc

When 81.0 g of aluminium is allowed to react with 128.0 g of oxygen gas, the mass of aluminium oxide produced in grams is _______ (Nearest integer) Given:Molar mass of Al is Molar mass of O is

The percentage dissociation of a salt solution at given temperature (van't Hoff factor is \% (Nearest integer)

1, 2-dibromocyclooctane

Among and , the hybridization of the molecule with non-zero dipole moment and highest number of lone-pairs of electrons on the centre atom is :

In Dumas' method for estimation of nitrogen, 0.5 gram of an organic compound gave 60 mL of nitrogen collected at 300 K temperature and 715 mm Hg pressure. The percentage composition of nitrogen in the

Given below are two statements : Statement (I) : In octahedral complexes, when < P high spin complex are formed. Statement (II) : In tetrahedral complexes because of , low spin complexes are rarely fo

Let us consider a reversible reaction at temperature, T . In this reaction, both and were observed to have positive values. If the equilibrium temperature is Te , then the reaction becomes spontaneous

Given below are two statements I and II. Statement I: Dumas method is used for estimation of "Nitrogen" in an organic compound.Statement II : Dumas method involves the formation of ammonium sulphate b

Which one of the following, with HBr will give a phenol?

Given below are two statements : Statement (I) : A catalyst cannot alter the equilibrium constant ( ) of the reaction, temperature remaining constant. Statement (II) : A homogenous catalyst can change

The major product in the following reaction is

Which one of the following complexes will have and B.M?

Which of the following statements are NOT true about the periodic table?A. The properties of elements are function of atomic weights. B. The properties of elements are function of atomic numbers. C. E

Identify and , respectively in the following reaction sequence:

1 Faraday electricity was passed through and 0.1 Faraday was passed through electrolytic cells. After this the two cells were connected as shown below to make an electrochemical cell. The emf of the c

A transition metal among and Fe has the highest standard electrode potential . If forms a metal complex of the type . The number of electrons present in the orbital of the complex is ______.

What is the freezing point depression constant of a solvent, 50 g of which contain 1 g non volatile solute (molar mass ) and the decrease in freezing point is 0.40 K ?

Given below ae two statements Statement I : Dimethyl ether is completely soluble in water. However, diethyl ether is soluble in water to a very small extent. Statement II: Sodium metal can be used to

Match the List-I with List-II List-I (Reagent) List- II (Functional Group detected) A. Sodium bicarbonate solution I. Double bond/ unsaturation B. Neutral ferric chloride II. Carboxylic acid C. Ceric

Reaction is a first order reaction. It was started with pure A t/min Pressure of system at time t/mm Hg 10 160 240 Which of the following option is incorrect?

The ascending order of relative rate of solvolysis of following compounds is:

Consider the given data: (a) (b) Choose the correct statement:

A liquid when kept inside a thermally insulated closed vessel at was mechanically stirred from outside. What will be the correct option for the following thermodynamic parameters?

of molar mass is required to be dissolved in 1.0 L of water to produce a pH of 10.0 at 298 K . The value of is mg. (Nearest integer)(Given: is assumed to dissociate completely in ]

Given below are two statements : Statement I: Alcohols are formed when alkyl chlorides are treated with aqueous potassium hydroxide by elimination reaction. Statement II: In alcoholic potassium hydrox

The amphoteric oxide among and , upon reaction with alkali leads to formation of an oxide anion. The oxidation state of V in the oxide anion is :

Let us consider an endothermic reaction which is non-spontaneous at the freezing point of water. However, the reaction is spontaneous at boiling point of water. Choose the correct option.

Given below are two statements: Statement (I): An element in the extreme left of the periodic table forms acidic oxides. Statement (II): Acid is formed during the reaction between water and oxide of a

Given below are two statements : Statement-I : On nitration of m-xylene with , followed by oxidation, 4-nitrobenzene-1,3dicarboxylic acid is obtained as the major product. Statement-II: group is o/p-d

Math the List-I with List-IIList-IList-IIA.CarbocationI.Species that can supply a pair of electronsB.C-Free radicalII.Species that can receive a pair of electronsC.NucleophileIII.sp hybridized carbon

List-I(Partial Derivatives)List-II(Thermodynamic Quantity)(A) (I) (B) -S(C) (D) V Choose the correct answer from the options given below:

The molarity of a (mass/mass) aqueous solution of a monobasic acid is ______ M(Nearest integer)[Given : Density of aqueous solution of is 1.25 g Molar mass of the acid is ]

Which of the following statements are correct?A. The process of adding an electron to a neutral gaseous atom is always exothermic. B. The process of removing an electron from an isolated gaseous atom

The correct order of basicity for the following molecules is

Total number of sigma ( ) ______ and ______ bonds respectively present in hex-1-en-4-yne are :

List-I List-II (A) (I) Etard reaction (B) (II) GattermanKoch reaction (C) (III) Rosenmund reduction (D) (IV) Stephen reaction Choose the correct answer from the options given below:

Identify correct statement/s: (A) and are activating group. (B) -CN and -OH are meta directing group. (C) -CN and are meta directing group. (D) Activating groups act as ortho- and para directing group

Consider the following low-spin complexes The sum of the spin-only magnetic moment values of complexes having yellow colour is ______ B.M. (answer in nearest integer)

Given below are the atomic numbers of some group 14 elements. The atomic number of the element with lowest melting point is:

Density of 3 M NaCl solution is . The molality of solution is

Which of the following molecule(s) show/s paramagnetic behavior?A. B. C. D. E. Choose the correct answer from the options given below.

Which of the following is the correct IUPAC name of given organic compound ?

Which of the following oxidation reactions are carried out by both and in acidic medium? A. B. C. D. E. Choose the correct answer from the option given below.

The molar mass of the water insoluble product formed from the fusion of chromite ore , with in presence of is ______ .

Thyroxine, the hormone has given below structureThe percentage of iodine in thyroxine is . (nearest integer)(Given molar mass in ,

Which of the following amine(s) show(s) positive carbylamine test?A. B. C. D. E. Choose the correct answer from the options given below.

Consider the following sequence of reactions to produce major product (A) Molar mass of product ( ) is _____ . (Given molar mass in of ,

Consider the following sequence of reactions: 11.25 mg of chlorobenzene will produce._____ mg of product B . (Consider the reactions result in complete conversion.)[Given molar mass of and Cl as 12,1

The group 14 elements and have the first ionisation enthalpy values of 708 and respectively. The above values are lowest among their group members. The nature of their ions and respectively is

When a non-volatile solute is added to the solvent, the vapour pressure of the solvent decreases by 10 mm of Hg . The mole fraction of the solute in the solution is 0.2 . What would be the mole fracti

Consider the following reactions The products and respectively are:

Consider the following data : Heat of formation of Heat of formation of Heat of combustion of benzene The heat of formation of benzene is ______ (Nearest integer)

Total number of non-bonded electrons present in ion based on Lewis theory is ______ .

The correct option with order of melting points of the pairs ( ), ( ) and ( ) is:

List-I (Carbohydrate) List-II (Linkage Source)(A) Amylose (I) , plant(B) Cellulose (II) , animal(C) Glycogen (III) , plant(D) Amylopectin (IV) , plant Choose the correct answer from the options given

20 mL of 2 M NaOH solution is added to 400 mL of 0.5 M NaOH solution. The final concentration of the solution is _______ . (Nearest integer)

A person's wound was exposed to some bacteria and then bacterial growth started to happen at the same place. The wound was later treated with some antibacterial medicine and the rate of bacterial deca

The major product of the following reaction is

Given below are two statements Statement I: Statement II: Invert sugar is formed during sucrose hydrolysis. In the light of the above statements, choose the correct answer from the options given below

of is left after removing molecules from its ' ' mg sample. The mass of taken initially is Given :

Match the compounds (List-I) with the appropriate Catalyst/Reagents (List-II) for their reduction into corresponding amines.Choose the correct answer from the options given below:

The incorrect statements regarding geometrical isomerism are(A) Propene shows geometrical isomerism. (B) Trans isomer has identical atoms/groups on the opposite sides of the double bond. (C) Cis-but-2

Resonance in can be represented as --- The enthalpy of formation of is . The magnitude of resonance energy of is (nearest integer value) Given : Bond energies of and are and respectively. Valence

List - I (Complex) List - II (Hybridisation & Magnetic characters)(A) (I) diamagnetic(B) (II) paramagnetic(C) (III) & diamagnetic(D) (IV) & paramagnetic Choose the correct answer from the options give

Which among the following compounds give yellow solid when reacted with ?Choose the correct answer from the options given below

Consider ' ' is the number of lone pair of electrons present in the equatorial position of the most stable structure of . The ions from the following with ' ' number of unpaired electrons are A. B. C.

The pH of a 0.01 M weak acid is found to be 5 . Now the acid solution is diluted with excess of water so that the pH of the solution changes to 6 . The new concentration of the diluted weak acid is gi

The incorrect decreasing order of atomic radii is

Match List I with List - II List - I (Separation of)List - II (Separation Technique)(A)Aniline from aniline-water mixture(I)Simple distillation(B)Glycerol from spent-lye in soap industry(II)Fractional

Which of the following graphs correctly represents the variation of thermodynamic properties of Haber's process?

Correct order of limiting molar conductivity for cations in water at 298 K is :

Benzene is treated with oleum to produce compound ( X ) which when further heated with molten sodium hydroxide followed by acidification produces compound ( Y ). The compound ( Y ) is treated with zin

A compound ' ' absorbs 2 moles of hydrogen and ' X ' upon oxidation with gives and The total number of bonds present in the compound ' ' is ______

Given below are two statements: Statement (I): Neopentane forms only one monosubstituted derivative. Statement (II): Melting point of neopentane is higher than n-pentane. In the light of the above sta

The successive 5 ionisation energies of an element are and , respectively. By using the above values predict the group in which the above element is present:

Given below are two statements: Consider the following reaction Statement (I): In the case of formaldehyde K is about 2280 , due to small substituents, hydration is faster. cStatement (II) In the case

Consider a complex reaction taking place in three steps with rate constants and respectively. The overall rate constant is given by the expression . If the activation energies of the three steps are 6

On combustion of 0.210 g of an organic compound containing and O gave and 0.307 . The percentage of hydrogen and oxygen in the given organic compound respectively are:

On charging the lead storage battery, the oxidation state of lead changes from to at the anode and from to at the cathode. The values of , are respectively

The bond dissociation enthalpy of calculated from the given data is _________ . (Nearest integer) [Given is a pure ionic compound and X forms a diatomic molecule in gaseous state]

The compounds which give positive Fehling's test are: Choose the correct answer from the options given below:

Which of the following compounds is least likely to give effervescence of in presence of aq. ?

Consider the following compound The most stable and least stable carbon radicals, respectively, produced by homolytic cleavage of corresponding bond are :

Niobium (Nb) and ruthenium (Ru) have " " and " " number of electrons in their respective orbitals. The value of is ______

Given below are two statements: Statement 1: When a system containing ice in equilibrium with water (liquid) is heated, heat is absorbed by the system and there is no change in the temperature of the

Fortification of food with iron is done using . The mass in grams of the required to achieve 12 ppm of iron in 150 kg of wheat is (Nearest integer)[Given : Molar mass of and O respectively are 56,32 a

The total number of structural isomers possible for the substituted benzene derivatives with the molecular formula is .

The element that does not belong to the same period of the remaining elements (modern periodic table) is

The atomic number of the element from the following with lowest ionisation enthalpy is

Given below are some nitrogen containing compoundsEach of them is treated with HCl separately, 1.0 g of the most basic compound will consume ______ mg of HCl . (Given molar mass in ,

Aman has been asked to synthesise the molecule . He thought of preparing the molecule using an aldol condensation reaction. He found a few cyclic alkenes in his laboratory. He thought of performing oz

In the following reactions, which one is NOT correct?

If 1 mM solution of ethylamine produces , then the ionization constant of ethylamine is . The value of is _____(nearest integer). [The degree of ionization of ethylamine can be neglected with respect

A group 15 element forms bond with transition metals. It also forms hydride, which is a strongest base among the hydrides of other group members that form bond. The atomic number of the element is ___

Give below are two statements : Statement I: is more polar than Statement II: Boiling point of is lower than but it is more polar than In the light of the above statements, choose the most appropriate

When sec-butylcyclohexane reacts with bromine in the presence of sunlight, the major product is:

The -orbital electronic configuration of the complex among and that has the highest CFSE is

The total number of hydrogen bonds of a DNAdouble Helix strand whose one strand has the following sequence of bases is

Lanthanoid ions with configuration are(A) (B) (C) (D) (E) Choose the correct answer from the options given below.

In Carius method for estimation of halogens, 180 mg of an organic compound produced 143.5 mg of AgCl . The percentage composition of chlorine in the compound is ______ %. (Given : molar mass in of )

The species which does not undergo disproportionation reaction is:

When 1 g each of compounds AB and are dissolved in 15 g of water separately, they increased the boiling point of water by 2.7 K and 1.5 K respectively. The atomic mass of A (in amu) is (Nearest intege

List-IList-II(A) Bronze (I) (B) Brass (II) (C) UK silver coin(III) (D) Stainless steel (IV) Choose the correct answer from the options given below:

The correct statement amongst the following is

Given below are two statements: Statement I: will undergo alkaline hydrolysis at a faster rate than Statement II: intramolecular substitution takes place first by involving lone pair of electrons on n

The large difference between the melting and boiling points of oxygen and sulphur may be explained on the basis of

The hydration energies of and are and respectively. If lattice energy of KCl is , then the heat of solution of KCl is:

0.100 200 0.025 100 For a given reaction is related to as given in table. Given: Which of the following is true?A. The order of the reaction is . B. If is 1 M , then is C. The order of the reaction ch

The compound with molecular formula , which gives only one monobromo derivative and takes up four moles of hydrogen per mole for complete hydrogenation has _______ electrons.

Given below are two statements: Statement I: Ozonolysis followed by treatment with of cis-2 butene gives ethanal. Statement II : The product obtained by ozonolysis followed by treatment with of 3, 6-d

Predict the major product of the following reaction sequence: -

According to Bohr's model of hydrogen atom, which of the following statement is incorrect?

Given below are two statements: Statement (I): The first ionization energy of Pb is greater than that of Sn .Statement (II): The first ionization energy of Ge is greater than that of Si .In the light

gas will be evolved as a product of electrolysis of : (A) An aqueous solution of using silver electrodes. (B) An aqueous solution of using platinum electrodes. (C) A dilute solution of using platinum

In the following system, at equilibrium, upon addition of xenon gas at constant T & p, the concentration of

How many different stereoisomers are possible for the given molecule?

For hydrogen atom, the orbital/s with lowest energy is/are: (A) 4 s(B) (C) (D) (E) Choose the correct answer from the options given below:

Given below are two statements : Statement (I) : In partition chromatography, stationary phase is thin film of liquid present in the inert support. Statement (II) : In paper chromatography, the materi

Given below are two statements : Statement-I : A homoleptic octahedral complex, formed using monodentate ligands, will not show stereoisomerism Statement-II : cis and trans platin are heteroleptic com

Identify correct statements: (A) Primary amines do not give diazonium salts when treated with in acidic condition. (B) Aliphatic and aromatic primary amines on heating with and ethanolic KOH form carb

When a salt is treated with sodium hydroxide solution it gives gas . On passing gas through reagent a brown coloured precipitate is formed. and respectively, are

Which of the following ions is the strongest oxidizing agent?(Atomic Number of , )

for is . What is the molar solubility of this salt in water?

The number of species from the following that are involved in hybridization is , and

Given below are two statements: Statement I: The single bond is weaker and longer than that of single bond. Statement II: Compounds of group 15 elements in +3 oxidation states readily undergo dispropo

Which of the following arrangements with respect to their reactivity in nucleophilic addition reaction is correct?

In Dumas' method for estimation of nitrogen 1 g of an organic compound gave 150 mL of nitrogen collected at 300 K temperature and 900 mm Hg pressure. The percentage composition of nitrogen in the comp

A perfect gas having (independent of temperature) undergoes the above transformation from point 1 to point 4 . If each step is reversible, the total work done (w) while going from point 1 to point 4 i

Given below are two statements : Statement I: In the oxalic acid vs (in the presence of dil ) titration the solution needs to be heated initially to , but no heating is required in Ferrous ammonium su

Match the LIST-I with LIST-II. LIST-I (Classification of molecules based on octet rule) LIST-II (Example) A. Molecules obeying octet rule I. B. Molecules with incomplete octet II. C. Molecules with in

The amount of calcium oxide produced on heating 150 kg limestone (75\% pure) is kg. (Nearest integer)Given: Molar mass (in ) of , C-12

Given below are two statements Statement I: On hydrolysis, oligo peptides give rise to fewer number of -amino acids while proteins give rise to a large number of -amino acids. Statement II: Natural pr

Consider the ground state of chromium atom ( 24). How many electrons are with Azimuthal quantum number and respectively?

Given below are two statements Statement I: In Lassaigne's test, the covalent organic molecules are transformed into ionic compounds.Statement II: The sodium fusion extract of an organic compound havi

' X ' is the number of acidic oxides among , and . The primary valency of cobalt in is Y . The value of is

The least acidic compound, among the following is

Consider the given figure and choose the correct option

Choose the incorrect trend in the atomic radii ( ) of the elements.

In 3,3-dimethylhex-1-en-4-yne, there are , and hybridised carbon atoms respectively.

Given below are two statements: Statement I: will undergo reaction though it is a primary halide.Statement II : will not undergo reaction very easily though it is a primary halide. In the light of the

Given below are two statements. Statement-I: The dipole moment of is greater than . Statement-II : bond length of is greater than bond length of . In the light of the above statements, choose the corr

Given below are two statements: Statement I: Nitrogen forms oxides with +1 to +5 oxidation states due to the formation of bond with oxygen. Statement II: Nitrogen does not form halides with +5 oxidati

20 mL of sodium iodide solution gave 4.74 g silver iodide when treated with excess of silver nitrate solution. The molarity of the sodium iodide solution is M. (Nearest Integer Value)(Given :

Identify the coordination complexes in which the central metal ion has configuration (A) (B) (C) (D) (E) Choose the correct answer from the options given below:

For for forward and backward reaction are 180 and respectively. If catalyst lowers for both reaction by . Which of the following statement is correct?

Which of the following mixing of 1 M base and 1 M acid leads to the largest increase in temperature?

Consider the above reaction, what mass of will be formed if 250 mL of 0.76 M HCl reacts with 1000 g of ?(Given: Molar mass of and Cl are 40, and , respectively)

In the Claisen-Schmidt reaction to prepare, dibenzalacetone from 5.3 g of benzaldehyde, a total of 3.51 g of product was obtained. The percentage yield in this reaction was ______ %.

An organic compound weighing 500 mg , produced 220 mg of , on complete combustion. The percentage composition of carbon in the compound is \%. (nearest integer)(Given molar mass in of )

The IUPAC name of the following compound is :

Arrange the following solutions in order of their increasing boiling points. (i) (ii) Urea(iii) (iv)

In the sulphur estimation, 0.20 g of a pure organic compound gave 0.40 g of barium sulphate. The percentage of sulphur in the compound is ______ . [Molar mass : )

Given below are two statements : Statement-I : Mohr's salt is composed of only three types of ions-ferrous, ammonium and sulfate. Statement-II: If the molar conductance at infinite dilution for ferrou

Which of the following is the correct structure of L Fructose?

Given below are two statements: Statement (I): Molal depression constant is given by , where symbols have their usual meaning. Statement (II): for benzene is less than the for water. In the light of t

Following are the four molecules " ", " ", " " and " S ". Which one among the four molecules will react with at the fastest rate?

The number of unpaired electrons responsible for the paramagnetic nature of the following complex species are respectively:

An optically active alkyl halide reacts with hot KOH dissolved in ethanol and forms alkene [B] as major product which reacts with bromine to give dibromide . The compound is converted into a gas [D] u

The correct increasing order of stability of the complexes based on value is: I. II. III. IV.

Match List-I with List-II : List-I Applications List-II Batteries/Cell (A) Transistors (I) Anode Cathode (B) Hearing aids (II) Hydrogen fuel cell (C) Invertors (III) Anode Cathode - Carbon (D) Apollo

Based on the data given below: The strongest reducing agent is:

In the above diagram, the standard electrode potentials are given in volts (over the arrow). The value of is

If is denoted as the Bohr radius of hydrogen atom, then what is the de-Broglie wavelength ( ) of the electron present in the second orbit of hydrogen atom? [ n : any integer]

The correct set of ions (aqueous solution) with same colour from the following is:

A dipeptide, " " on complete hydrolysis gives " " and " ". " " on treatment with aq. produces lactic acid. On the other hand " " on heating gives the followina cvclic molecule.Based on the information

Given below are two statements: Statement (I): Corrosion is an electrochemical phenomenon in which pure metal acts as an anode and impure metal as a cathode.Statement (II): The rate of corrosion is mo

Match List – I with List – II List - I (Transition metal ion) List - II (Spin only magnetic moment (B.M.)) (A) (I) 3.87 (B) (II) 0.00 (C) (III) 1.73 (D) (IV) 2.84 Choose the correct answer from the op

Half life of zero order reaction product is 1 hour, when initial concentration of reactant is . The time required to decrease concentration of A from 0.50 to is:

A tetrapeptide, " " on complete hydrolysis produced glycine (Gly), alanine (Ala), valine (Val), leucine (Leu) in equimolar proportion each. The number of tetrapeptides (sequences) possible involving e

Number of molecules from below which cannot give iodoform reaction is : Ethanol, Isopropyl alcohol, Bromoacetone, 2Butanol, 2-Butanone, Butanal, 2-Pentanone, 3Pentanone, Pentanal and 3-Pentanol.

is a first order reaction. Timet The reaction was started with reactant only. Which of the following expression is correct for rate constant k ?

For the given cell The standard cell potential of the above reaction is Given:

Given below are two statements: Statement (I): Nitrogen, sulphur, halogen and phosphorus present in an organic compound are detected by Lassaigne's Test.Statement (II): The elements present in the com

Which of the following statements are true? (A) The subsidiary quantum number describes the shape of the orbital occupied by the electron. (B) is the boundary surface diagram of the orbital. (C) The +

The possible number of stereoisomers for 5-phenylpent-4-en-2-ol is _____

The standard reduction potential values of some of the p-block ions are given below. Predict the one with the strongest oxidising capacity.

A sample of n-octane ( 1.14 g ) was completely burnt in excess of oxygen in a bomb calorimeter, whose heat capacity is . As a result of combustion reaction, the temperature of the calorimeter is incre

Match the List-I with List-II List-I Molecule Ion List-II Bond pair : lone pair (on the central atom) A. I. 4 : 2 B. II. 4 : 1 C. III. 2 : 3 D. IV. 2 : 2 Choose the correct answer from the options giv

The correct stability order of the followingspecies/molecules is

The correct order of stability of following carbocations is :

0.1 M solution of KI reacts with excess of and solutions. According to equation Identify the correct statements : (A) 200 mL of KI solution reacts with 0.004 mol of (B) 200 mL of KI solution reacts wi

A molecule ("P") on treatment with acid undergoes rearrangement and gives ("Q"). ("Q") on ozonolysis followed by reflux under alkaline condition gives (" ). The structure of (" R ") is given below.

Given below are the pairs of group 13 elements showing their relation in terms of atomic radius. and Identify the elements present in the incorrect pair and in that pair find out the element that has

Which one of the followng reactions will not lead to the desired ether formation in major proportion?(iso-Bu isobutyl, sec-Bu sec-butyl, n-propyl, tert-butyl, Et ethyl)

Correct statements for an element with atomic number 9 are A. There can be 5 electrons for which and 4 electrons for which B. There is only one electron in orbital C. The last electron goes to orbital

Xg of nitrobenzene on nitration gave 4.2 g of m-dinitrobenzene. g. (nearest integer)[Given: molar mass (in ) ,

Which among the following molecules is (a) involved in hybridization, (b) has different bond lengths and (c) has lone pair of electrons on the central atom?

Identify the pair of reactants that upon reaction, with elimination of HCl will give rise to the dipeptide Gly-Ala.

In a first order decomposition reaction, the time taken for the decomposition of reactant to one fourth and one eighth of its initial concentration are and , respectively. The ratio will be:

XY is the membrane/partition between two chambers 1 and 2 containing sugar solutions of concentration and . For the reverse osmosis to take place identify the correct condition. (Here and are pressure

Drug becomes ineffective after decomposition. The original concentration of drug in a bottle was , which becomes , in 12 months. The expiry time of the drug in months is ______Assume that decompositio

The number of optical isomers exhibited by the iron complex (A) obtained from the following reaction is .

The first transition series metal ' M ' has the highest enthalpy of atomisation in its series. One of its aquated ion exists in green colour. The nature of the oxide formed by the above ion is :

A molecule with the formula has all its elements from -block. Element is rarest, monoatomic, non-radioactive from its group and has the lowest ionization enthalpy value among , and . Elements and have

Mass of magnesium required to produce 220 mL of hydrogen gas at STP on reaction with excess of dil. HCl is Given: Molar mass of Mg is .

Consider the following molecule . The structure of X is The major product formed when the given molecule treated with is :

'A' shows positive Lassaigne's test for N and its molar mass is 121. 'B' gives effervescence with aq ' ' gives fruity smell. Identify , and from the following

The property/properties that show irregularity in first four elements of group-17 is/are(A) Covalent radius(B) Electron affinity(C) Ionic radius(D) First ionization energy Choose the correct answer fr

What is the correct IUPAC name of

Identify the homoleptic complexes with odd number of electrons in the central metal : (A) (B) (C) (D) (E) Choose the correct answer from the options given below :

List-1 (Redox Reaction) List-II (Type of Redox Reaction) A. I. Disproportio- nation reaction B. II. Combination reaction C. III. Decomposition reaction D. IV. Displacement reaction Choose the correct

Choose the correct set of reagents for the following converson.

A metal complex with a formula is involved in hybridisation. It upon reaction with excess of solution gives ' ' moles of AgCl . Consider ' ' is equal to the number of lone pairs of electron present in

An ideal gas undergoes a cyclic transformation starting from the point and coming back to the same point by tracing the path as shown in the three cases above. Choose the correct option regarding :

" P " is an optically active compound with molecular formula . When ' ' is treated with dinitrophenylhydrazine, it gives a positive test. However, in presence of Tollens reagent, "P" gives a negative

The sequence from the following that would result in giving predominantly 3, 4, 5-Tribromoaniline is

Identify the inorganic sulphides that are yellow in colour: (A) (B) PbS(C) CuS(D) (E) Choose the correct answer from the options given below:

For the reaction products. The concentration of at 10 minutes is (nearest integer). The reaction was started with of A .

List- List-II (A) Adenine (I) (B) Cytosine (II) (C) Thymine (III) (D) Uracil (IV) Choose the correct answer from the options given below:

can exist as a complex. 0.1 molal aqueous solution of this complex shows a depression in freezing point of . Assuming ionisation of this complex and coordination number of Cr is 6 , the complex will b

The metal ions that have the calculated spin only magnetic moment value of 4.9 B.M. are A. B. C. D. E. Choose the correct answer from the options given below:

For a the correct Nernst equation is :

Which among the following halides will generate the most stable carbocation in the nucleophilic substitution reaction?

The conditions and consequence that favours the configuration in a metal complex are:

A solution is made by mixing one mole of volatile liquid A with 3 moles of volatile liquid B . The vapour pressure of pure A is 200 mm Hg and that of the solution is 500 mm Hg . The vapour pressure of

Which of the following graph correctly represents the plots of at 1 bar for gases in water versus temperature?

Among, and Cu , identify the element with highest enthalpy of atomisation. The spin only magnetic moment value of that element in its +2 oxidation state is BM (in nearest integer).

List-I (Conversion) List-II (Reagents, Conditions Used) (A) Warm, (B) (a) NaOH , 368 K ; (b) (C) (a) NaOH , 443 K ; (b) (D) (a) NaOH , atm; (b) Choose the correct answer from the options given below.

The equilibrium constant for decomposition of is at 2300 K and total pressure at equilibrium is 1 bar. Under this condition, the degree of dissociation ( ) of water is (nearest integer value) [Assume

Match List-I with List-II. List-I Complex List-II Primary valency and Secondary valency (A) (I) 3 6 (B) (II) 3 4 (C) (III) 2 6 (D) (IV) 2 4 Choose the correct answer from the options given below:

Which of the following statement is true with respect to and ?A. The central atoms of all the molecules are hybridized. B. The and angles in the above molecules are and , respectively. C. The increasi

The total number of compounds from below when treated with hot giving benzoic acid is :

An element ' ' has the ionisation enthalpy value of .'E' reacts with elements and D with electron gain enthalpy values of , -325 and , respectively. The correct order of the products EA, EB, EC and ED

Consider the following sequence of reactions Molar mass of the product formed is ______ .

Choose the correct option for structures of A and B, respectively

The major product of the following reaction is :

Concentrated nitric acid is labelled as by mass. The volume in mL of the solution which contains 30 g of nitric acid is ______Given: Density of nitric acid solution is .

Which of the following acids is a vitamin?

Radius of the first excited state of Helium ion is given as: radius of first stationary state of hydrogen atom.

Identify the diamagnetic octahedral complex ions from below : A. B. C. D. Choose the correct answer from the options given below.

Identify the correct statements from the following. A. are metamers B. and functional isomers C.and position isomers D. and are homologous are homologous Choose the correct answer from the options giv

The standard cell potential of a fuel cell based on the oxidation of methanol in air that has been used to power television relay station is measured as 1.21 V . The standard half cell reduction poten

Given below are two statements: Statement (I) : are isometric compounds. Statement(II) : are functional group isomers. are functional group isomers. In the light of the above statements, choose the co

Identify and C in the given below reaction sequence

' X ' is the number of electrons in orbitals of the most stable complex ion among , and . The nature of oxide of vanadium of the type is:

Which of the following linear combination of atomic orbitals will lead to formation of molecular orbitals in homonuclear diatomic molecules [internuclear axis in z-direction]?A. and B. and C. and D. a

For bacterial growth in a cell culture, growth law is very similar to the law of radioactive decay. Which of the following graphs is most suitable to represent bacterial colony growth?Where N - Number

Which of the following binary mixture does not show the behaviour of minimum boiling azeotropes?

The correct order of the complexes (C) and in terms of wavelength of light absorbed is

The products and in the following reactions, respectively are

Given below are two statements: Statement I: Hyperconjugation is not a permanent effect. Statement II : In general, greater the number of alkyl groups attached to a positively charged C -atom, greater

Identify correct conversion during acidic hydrolysis from the following: (A) starch gives galactose. (B) cane sugar gives equal amount of glucose and fructose. (C) milk sugar gives glucose and galacto

The product formed in the following reaction is

Which one of the following about an electron occupying the orbital in a hydrogen atom is incorrect?(Bohr's radius is represented by )

The heat of formation of is given by:

2 moles each of ethylene glycol and glucose are dissolved in 500 g of water. The boiling point of the resulting solution is: (Given : Ebullioscopic constant of water )

The descending order of basicity of following amines is : (A)(B)(C)(D) (E) Choose the correct answer from the options given below:

The correct order of basic nature in aqueous solution for the bases and is

The molecules having square pyramidal geometry are

Given below are two statements about X-ray spectra of elements: Statement (I) : A plot of ( frequency of rays emitted) vs atomic mass is a straight line Statement (II): A plot of frequency of -rays em

The molar conductance of an infinitely dilute solution of ammonium chloride was found to be and the ionic conductance of hydroxyl and chloride ions are 170 and , respectively. If molar conductance of

An aqueous solution of HCl with pH 1.0 is diluted by adding equal volume of water (ignoring dissociation of water). The pH of HCl solution would (Given = 0.30)

Match the List-I with List-II. List-I (Family) List-II (Symbol of Element) A. Pnictogen (group 15) I. Ts B. Chalcogen II. Og C. Halogen III. Lv D. Noble gas IV. Mc Choose the correct answer from the o

Consider the following electrochemical cell at standard condition. The couple represents quinhydrone electrode, the half cell reaction is given below : The value of the ammonium halide salt ( ) used h

Among (each) of the following elements, which one will have the highest number of atoms?Element: and Pt

Arrange the following compounds in increasing order of their dipole moment: and

Which of the following graphs most appropriately represents a zero-order reaction?

pH of water is 7 at . If water is heated to ., it's pH will :

Given below are two statements: Statement (I): According to the Law of Octaves, the elements were arranged in the increasing order of their atomic number.Statement (II): Meyer observed a periodically

Choose the correct tests with respective observations. (A) (acidified with acetic acid) + Chocolate brown precipitate. (B) Prussian blue precipitate. (C) , neutralised with White or bluish white preci

0.5 g of an organic compound on combustion gave 1.46 g of and 0.9 g of . The percentage of carbon in the compound is . (Nearest integer)[Given : Molar mass (in ) : 16]

In the following series of reactions identify the major products A & B respectively

Consider the reaction The equation representing correct relationship between the degree of dissociation ( ) of with its equilibrium constant Kp is Assume to be very very small.

In the given structure, number of sp and hybridized carbon atoms present respectively are:

Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen atom?(A) 1 s p d s(B) (C) (D) Choose the correct answer from the options given below:

Given below are two statements: Statement (I): The boiling points of alcohols and phenols increase with increase in the number of C -atoms.Statement (II): The boiling points of alcohols and phenols ar

Consider the following molecules: The correct order of rate of hydrolysis is :

Assume a living cell with of glucose solution (aqueous). This cell is immersed in another solution having equal mole fraction of glucose and water. (Consider the data upto first decimal place only)The

The elements of Group 13 with highest and lowest first ionisation enthalpies are respectively:

Given below are two statements: Statement I: D-glucose pentaacetate reacts with 2, 4-dinitrophenylhydrazine Statement II: Starch, on heating with concentrated sulfuric acid at and atmosphere pressure

Match List-I with List-II : List-IList-IIA.[ ]I.Tetrahedral, 2.8 BMB. II.Square planar, 0 BMC. III.Tetrahedral, 0 BMD. IV.Tetrahedral, 5.9 BMChoose the correct answer from the options given below

The incorrect statement among the following is

Some gas was kept in a sealed container at a pressure of 1 atm and at 273 K . This entire amount of gas was later passed through an aqueous solution of . The excess unreacted was later neutralized wit

When Ethane-1,2-diamine is added progressively to an aqueous solution of Nickel (II) chloride, the sequence of colour change observed will be:

The formation enthalpies, for and are 220.0 and , respectively, at 298.15 K , and for is at the same temperature. The average bound enthalpy of the bond in water at 298.15 K is ______ kJ (nearest inte

Arrange the following in order of magnitude of work done by the system/on the system at constant temperature. (a) |Wreversible| for expansion in infinite stages(b) |Wirreversible| for expansion in sin

Given below are two statements : Statement I: One mole of propyne reacts with excess of sodium to liberate half a mole of gas.Statement II: Four g of propyne reacts with to liberate gas which occupies

Given below are two statements: Statement (I): A spectral line will be observed for a , transition. Statement (II): and are degenerate orbitals. In the light of the above statements, choose the correc

An organic compound with molecular formula is not readily oxidised. On reduction it gives which reacts with HBr to give a bromide which is converted to Grignard reagent. This Grignard reagent on react

The molecule A changes into its isomeric form B by following a first order kinetics at a temperature of 1000 K . If the energy barrier with respect to reactant energy for such isomeric transformation

A vessel at 1000 K contains with a pressure of 0.5 atm . Some of is converted into CO on addition of graphite. If total pressure at equilibrium is 0.8 atm , then Kp is:

Consider the equilibrium . If the pressure applied over the system increases by two fold at constant temperature then (A) Concentration of reactants and products increases. (B) Equilibrium will shift

0.01 Mole of an organic compound containing hydrogen, on complete combustion produced . Molar mass of is _____ .

Total number of nucleophiles from the following is

On complete combustion 1.0 g of an organic compound gave 1.46 g of and 0.567 g of . The empirical formula mass of compound is g. (Given molar mass in )

Given below are two statements : Statement (I): The metallic radius of Al is less than that of Ga. Statement (II) : The ionic radius of is less than that of In the light of the above statements, choos

Given below are two statements: Statement I: Fructose does not contain an aldehydic group but still reduces Tollen's reagent.Statement II: In the presence of base, fructose undergoes rearrangement to

Given : The for is (nearest integer value)

The correct orders among the following are Atomic radius : Electronegativity: Density: Ionisation energy : Choose the correct answer from the options given below:

Identify the number of structure/s from the following which can be correlated to D-glyceraldehyde

A weak acid HA has degree of dissociation . Which option gives the correct expression of ?

Which among the following react with Hinsberg's reagent? Choose the correct answer from the options given below

Consider the following half cell reaction The reaction was conducted with the ratio of . The pH value at which the EMF of the half cell will become zero is . (nearest integer value)[Given : standard h

When undergoes intramolecular aldol condensation, the major product formed is :

The observed and normal molar masses of compound are 65.6 and 164 respectively. The percent degree of ionisation of is ______ \%. (Nearest integer)

For a reaction, in a constant volume container, no products were present initially. The final pressure of the system when of reaction gets completed is

Consider an elementary reaction If the volume of reaction mixture is suddenly reduced to of its initial volume, the reaction rate will become ' ' times of the original reaction rate. The value of is :

The -Helix and - Pleated sheet structures of protein are associated with its:

List-I List-II(A) (I) Ionisation enthalpy(B) B C O N (II) Metallic character(C) B Al Mg K (III) Electronegativity(D) (IV) Ionic radiiChoose the correct answer from the options given below.

The hydrocarbon with molar mass and carbon has _______ degree of unsaturation.

For the thermal decomposition of at constant volume, the following table can be formed, for the reaction mentioned below. Sr. No. Time/s Total pressure/atm 1 0 0.6 2 100 _____ [nearest integer] Given

The steam volatile compounds among the following are : (a) (b) (c) (d)

Isomeric hydrocarbons negative Baeyer's test (Molecular formula )The total number of isomers from above with four different non-aliphatic substitution site is____

Match List-I with List-II. List-I (Purification technique) List-II (Mixture of organic compounds) (A) Distillation (simple) (I) Diesel + Petrol (B) Fractional distillation (II) Aniline + Water (C) Dis

List-I (Saccharides) List-II (Glycosidic-linkages found) (A) Sucrose (I) (B) Maltose (II) and (C) Lactose (III) (D) Amylopectin (IV) Choose the correct answer from the options given below:

The number of valence electrons present in the metal among and Ni which has the lowest enthalpy of atomisation is

One mole of the octahedral complex compound gives 3 moles of ions on dissolution in water. One mole of the same complex reacts with excess of solution to yield two moles of . The structure of the comp

(molar mass ) is dissolved in 1 kg of water to form a solution with boiling point of , while 25.4 g of (molar mass ) in 2 kg of water constitutes a solution with a boiling point of . Which of the foll

500 J of energy is transferred as heat to 0.5 mol of Argon gas at 298 K and 1.00 atm . The final temperature and the change in internal energy respectively are: Given:

Reactant A converts to product D through the given mechanism (with the net evolution of heat) : Slow; Fast; Fast; Which of the following represents the above reaction mechanism?

The reactions which cannot be applied to preparean alkene by elimination, are A. B. C. D. E. Choose the correct answer from the options givenbelow :

Which of the following statements are correct, if the threshold frequency of caesium is ?A. When Cs is placed inside a vacuum chamber with an ammeter connected to it and yellow light is focused on Cs,

In which pairs, the first ion is more stable than the second?

Given below are two statements : 1 M aqueous solutions of each of , , ; are electrolysed using inert electrodes. Given : , , and Statement I : With increasing voltage, the sequence of deposition of me

The alkane from below having two secondary hydrogens is:

The structure of the major product formed in the following reaction is :

For electrons in ' 2 s ' and ' 2 p ' orbitals, the orbital angular momentum values, respectively are

The compounds that produce with aqueous solution are: Choose the correct answer from the options given below:

Electrolysis of 600 mL aqueous solution of NaCl for 5 min changes the pH of the solution to 12 . The current in Amperes used for the given electrolysis is _____. (Nearest integer).

The carbohydrate "Ribose" present in DNA, is A. A pentose sugar B. present in pyranose form C. in "D" configuration D. a reducing sugar, when free E. in -anomeric formChoose the correct answer from th

Match List-I with List-IIList-IList-II(A) Solution of chloroform and acetone(I) Minimum boiling azeotrope(B) Solution of ethanol and water(II) Dimerizes(C) Solution of benzene and toluene(III) Maximum

Liquid and form an ideal solution. The vapour pressures of pure liquids and are 350 and 750 mm Hg respectively at the same temperature. If and are the mole fraction of and in solution while and are th

The correct statements from the following are: (A) is a powerful oxidising agent(B) does not get reduced easily(C) Both and are very stable in solution(D) is more stable than (E) and are highly stable

The molar solubility(s) of zirconium phosphate with molecular formula , is given by relation:

Which of the following statement is not true for radioactive decay?

Electronic configuration of four elements and D are given below : (A) (B) (C) (D) Which of the following is the correct order of increasing electronegativity (Pauling's scale)?

The products formed in the following reaction sequence are:

Which of the following properties will change when system containing solution 1 will become solution 2

Ice and water are placed in a closed container at a pressure of 1 atm and temperature 273.15 K . If pressure of the system is increased 2 times, keeping temperature constant, then identify correct obs

Which of the following happens when is added gradually to the solution containing and ions?Given : and at 298 K

Residue (A) +HCl (dil.) Compound (B)Structure of residue (A) and compound (B) formed respectively is (A) (B)

One litre buffer solution was prepared by adding 0.10 mol each of and in deionised water. The change in pH on addition of 0.05 mol of HCl to the above solution is . (Nearest integer)Given: of and

Butane reacts with oxygen to produce carbon dioxide and water following the equation given below. If 174.0 kg of butane is mixed with 320.0 kg of , the volume of water formed in liters is (Nearest int

Given below are two statements: Statement (I): For a given shell, the total number of allowed orbitals is given by . Statement (II): For any subshell, the spatial orientation of the orbitals is given

The effect of temperature on spontaneity of reactions are represented as: Temperature Spontaneity (A) + - any T Non- spontaneous (B) + + low T Spontaneous (C) - - low T Non- spontaneous (D) - + any T

The complex of ion and dimethyl glyoxime contains _______ number of Hydrogen atoms.

Given below are two statements: Statement I: is a stronger oxidizing agent than Statement II: is more stable than In the light of the above statements, choose the correct answer from the options given

The molar conductivity of a weak electrolyte when plotted against the square root of its concentration, which of the following is expected to be observed?

Heat treatment of muscular pain involves radiation of wavelength of about 900 nm . Which spectral line of H atom is suitable for this?Given: Rydberg constant )

Consider the following plots of log of rate constant vs for three different reactions. The correct order of activation energies of these reactions is

40 mL of a mixture of and HCl (aqueous solution) is titrated against 0.1 M NaOH solution conductometrically. Which of the following statement is correct?

In the following substitution reaction : Product ‘P’ formed is

Identify product and in the following reaction sequence.

Identify the structure of the final product (D) in the following sequence of the reactions: Total number of hybridised carbon atoms in product is .

Match the LIST-I with LIST-II LIST-I (Molecules/ion) LIST-II (Hybridisation of central atmn) A. I. B. II. C. III. D. IV. Choose the correct answer from the options given below:

Given below are two statements: Statement I: The conversion proceeds well in the less polar medium. Statement II: The conversion proceeds well in the more polar medium. In the light of the above state

The nature of oxide and hydride formed by Te , respectively are:

Choose the correct statements : (A) Weight of a substance is the amount of matter present in it. (B) Mass is the force exerted by gravity on an object. (C) Volume is the amount of space occupied by a

List-I (Reaction) List-II (Name of Reaction) (A) (I) Lucas reaction (B) (II) Finkelstein reaction (C) (III) Fittig reaction (D) (IV) Gatterman reaction Choose the correct answer from the options given

Mixture of 1 g each of chlorobenzene, aniline and benzoic acid is dissolved in 50 mL ethyl acetate and placed in a separating funnel. was added in the same funnel. The funnel was shaken vigorously and

From the magnetic behaviour of (paramagnetic) and (diamagnetic), choose the correct geometry and oxidation state.

was taken in a 1 L reaction vessel and allowed to undergo the following reaction at 500 K The total pressure at equilibrium was found to be 18.65 bar.Then, ______ [nearest integer]Assume to behave ide

acts as an oxidising agent in acidic medium. " X " is the difference between the oxidation states of Mn in reactant and product, " Y " is the number of ' d ' electrons present in the brown red precipi

Both acetaldehyde and acetone (individually) undergo which of the following reactions?A. Iodoform Reaction B. Cannizzaro Reaction C. Aldol Condensation D. Tollen's Test E. Clemmensen ReductionChoose t

LIST-I (Name reaction) LIST-II (Product obtainable) A. Swarts reaction I. Ethyl benzene B. Sandmeyer's reaction II. Ethyl iodide C. Wurtz-Fittig reaction III. Cyanobenzene D. Finkelstein reaction IV.

The freezing point depression of a 0.1 m aqueous solution of a monobasic weak acid HA is . The dissociation constant for the acid is Given: , molality molarity

Given below are two statements: Statement (I): Experimentally determined oxygenoxygen bond lengths in the are found to be same and the bond length is greater than that of a (double bond) but less than

solution of NaOH is measured to have resistivity . The molar conductivity of the solution will be . (Nearest integer)

The product formed in the following reaction sequence is :

The energy of an electron in first Bohr orbit of Hatom is -13.6 eV . The magnitude of energy value of electron in the first excited state of is eV (nearest integer value)

Consider the following reactions Side Products The number of terminal ' ' present in the compound ' C ' is .

For the reaction the following graph was obtained. The time required (in seconds) for the concentration of A to reduce to (if the initial concentration of was ) is (Nearest integer)Given:

The sum of sigma and pi bonds in Hex-1, 3-dien-5-yne is ______

The spin only magnetic moment ( ) value (B.M.) of the compound with strongest oxidising power among and VO is ______ B.M. (Nearest integer).

Preparation of potassium permanganate from involves two step process in which the step is a reaction with KOH and to produce

Standard electrode potentials for a few half cells are mentioned below: Which one of the following cells gives the most negative value of ?

The type of hybridization and the magnetic property of are,

Which compound would give 3-methyl-6oxoheptanal upon ozonolysis?

' ' of NaCl is added to water in a beaker with a lid. The temperature of the system is raised form to . Which out of the following plots, is best suited for the change in the molarity of the solution

The maximum number of RBr producing 2methylbutane by above sequence of reactions is . (Consider the structural isomers only)

If equal volumes of and (both are salts) aqueous solutions are mixed, which of the following combination will give a precipitate of at 300 K ?(Given (at 300 K ) for )

The correct order of the following complexes in terms of their crystal field stabilization energies is:

When a concentrated solution of sulphanilic acid and 1-naphthylamine is treated with nitrous acid ( 273 K ) and acidified with acetic acid, the mass ( g ) of 0.1 mole of product formed is(Given molar

Identify the essential amino acids from below : (A) Valine(B) Proline(C) Lysine(D) Threonine(E) TyrosineChoose the correct answer from the options given below :

At temperature , compound dissociates as having degree of dissociation (small compared to unity). The correct expression for in terms of and is

The number of paramagnetic metal complex species among , and with same number of unpaired electrons is

The standard enthalpy and standard entropy of decomposition of to are and 175.0 J/K/mol respectively. The standard free energy change for this reaction at in is ________ (Nearest integer)

The complex that shows Facial - Meridional isomerism is

The reaction The overall order of the reaction is :

The spin-only magnetic moment value of ion formed among and Cu that has the least enthalpy of atomisation is . (in nearest integer) Here n is equal to the number of diamagnetic complexes among , and

During estimation of nitrogen by Dumas' method of compound X ( 0.42 g ) mL of gas will be liberated at STP. (nearest integer)(Given molar mass in )

Given below are two statements:Statement (I):is valid for first order reaction.Statement (II):is valid for first order reaction. In the light of the above statements, choose the correct answer from th

0.1 mole of compound ' ' will weight ______ g. (Given molar mass in )

Sea water, which can be considered as a 6 molar ( 6 M ) solution of NaCl , has a density of . The concentration of dissolved oxygen ( ) in sea water is 5.8 ppm . Then the concentration of dissolved ox

Given below are two statements : Statement (I): The radii of isoelectronic species increases in the order. Statement (II) : The magnitude of electron gain enthalpy of halogen decreases in the order. I

An octahedral complex having molecular composition Co. has two isomers A and B . The solution of A gives a white precipitate with solution and the solution of B gives white precipitate with solution.

First ionisation enthalpy values of first four group 15 elements are given below. Choose the correct value for the element that is a main component of apatite family :

The type of oxide formed by the element among Li, and Al that has the least atomic radius is :

Fast soluble vitamins are: (A) Vitamin (B) Vitamin C(C) Vitamin E(D) Vitamin (E) Vitamin K Choose the correct answer from the options given below:

The product formed in the following reaction sequence is

Consider the following sequence of reactions. The total number of hybridised carbon atoms in the major product C formed is _____

Consider a binary solution of two volatile liquid components 1 and 2. and are the mole fractions of component 1 in liquid and vapour phase, respectively. The slope and intercept of the linear plot of

Consider the following cases of standard enthalpy of reaction in The magnitude of is ________kJ (Nearest integer).

Consider the following reactions. Form these reactions which reaction will give carboxylic acid as a major product? (A) (B) (C) (D) (E) Choose the correct answer from the options given below:

Total number of molecules/species from following which will be paramagnetic is ______

Ice at is heated to become vapour with temperature of at atmospheric pressure. The entropy change associated with this process can be obtained from

In Carius method of estimation of halogen, 0.25 g of an organic compound gave 0.15 g of silver bromide . The percentage of Bromine in the organic compound is ______ (Nearest integer). (Given: Molar ma

Two vessels and are connected via stopcock. The vessel A is filled with a gas at a certain pressure. The entire assembly is immersed in water and is allowed to come to thermal equilibrium with water.

Identify the products and , respectively in the following reaction :

In a reaction , initial concentrations of and are related as o. The half lives of and are 10 min and 40 min , respectively, If they start to disappear at the same time, both following first order kine

If , then is equal to

Let If for some , then the sum of the diagonal elements of the matrix is equal to .

If the system of linear equations has infinitely many solutions, then the value of is:

If and are the roots of 2) , then is equal to:

Let be a matrix of order , with . If the sum of all the elements in the third row of is , then is equal to

Let , and . Then is equal to .

Let be a twice differentiable function.If for some and , then is equal to ______

Bag contains 6 white and 4 blue balls, Bag contains 4 white and 6 blue balls, and Bag contains 5 white and 5 blue balls. One of the bags is selected at random and a ball is drawn from it. If the ball

Let , such that and . If I denotes identity matrix, then the matrix, is

Let be a matrix such that for all nonzero matrices . If , , and . , then is _____ .

Let be the point of intersection of the lines and . Let and be the points on the lines and respectively such that . Then the square of the area of the triangle is:

Let . Define a relation on as: Statement I: R is an equivalence relation. Statement II: For some , the set represents a line parallel to . In the light of the above statements, choose the correct answ

If , where is the constant of integration, then is equal to_____

The shortest distance between the curves and is:

Let . Let be a relation on defined by if and only if . Then among the statements : The number of elements in is 18 , and : The relation is symmetric but neither reflexive nor transitive.

Let be a matrix of order and . If , then is equal to

Let a line pass through two distinct points and , and be parallel to the vector . If the distance of the point from the point is 5 , then the square of the area of is equal to

If is the solution of the differential equation, , then is equal to ______ .

If , then is equal to

Let a curve pass through the points and . If the curve satisfies the differential equation , then is equal to

Let the area of the triangle formed by the lines and be . Then is equal to .

The value of is equal to

Given three indentical bags each containing 10 balls, whose colours are as follows: Red Blue Green Bag I 3 2 5 Bag II 4 3 3 Bag III 5 1 4 A person chooses a bag at random and takes out a ball. If the

The integral is equal to

If and are the roots of the equation is equal to

Let be the values of , for which the equations and have infinitely many solutions. Then the value of is equal to

If the shortest distance between the lines and is , then the sum of all possible values of is

Let be the solution of the differential equation Then is equal to:

If for the solution curve of the differential equation , , then is equal to

Let be the solution of the differential equation such that If , then is equal to ____

Consider the sets , and . The total number of one-one functions from the set to the set is:

If , then is equal to ______ .

If the domain of the function is and the domain of the function is , then is equal to

Let and be the number of points at which the function , is not differentiable and not continuous, respectively. Then is equal to

If , then equals

Let be a differentiable function on such that 1, . Let . Then the number of times the curve meets -axis is:

From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and atleast 4 bowlers. One batsmen and one bowler who are captain and vice-capta

Let be the largest open interval in which the function is strictly increasing and be the largest open interval, in which the function is strictly decreasing. Then is equal to:

Let the set of all values , for which both the roots of the equation are negative real numbers, be the interval ( ]. Then is equal to

The sum of the squares of the roots of and the squares of the roots of , is

If , then is equal to

The number of real roots of the equation is

Let and be the vertices of a triangle . Then the maximum area of the parallelogram , formed with vertices and on the sides and of the triangle respectively, is .

Let be a function defined by . If , then the value of is

The variance of the numbers is______

Let be the solution of the differential equation , . Then is :

Let in a , the length of the side be 6 , the vertex be and the vertices lie on the line . Then the area (in sq. units) of is:

Let be the solution of the differential equation , . Then is equal to

Let be a point in -plane, which is equidistant from the points and . Let and . Then among the statements(S1) : is an isosceles right angled triangle, and : The area of is ,

Let be a real matrix such that , where and are the identity and null matrices, respectively. If , where and are real constants, then is equal to:

If the equation of the line passing through the point and perpendicular to the lines and is , then is equal to:

For a statistical data of 10 values, a student obtained the mean as 5.5 and . He later found that he had noted two values in the data incorrectly as 4 and 5, instead of the correct values 6 and 8, res

Let be a real differentiable function such that and for all . Then is equal to:

Let be the set of all function and be a relation on such that and . Then R is:

where is the constant of integration, then is equal to .

Let , where . Then is equal to

Let the function, be differentiable for all , where . If the area of the region enclosed by and the line is , then the value of is .

The area of the region is equal to

If the number of seven-digit numbers, such that the sum of their digits is even, is , then is equal to .

Let [ ] denote the greatest integer function. If , then is equal to____

Consider the region The area, of the largest rectangle of sides parallel to the coordinate axes and inscribed in , is:

Let . If of is , then equals

where is the constant of integration and , , then is equal to .

Let and . Then the domain of is

Each of the angles and that a given line makes with the positive - and -axes, respectively, is half of the angle that this line makes with the positive -axes. Then the sum of all possible values of th

If are the vertices of an equilateral triangle, whose centroid is , then is equal to

If the equation has equal roots, where and , then is equal to_____

Three defective oranges are accidently mixed with seven good ones and on looking at them, it is not possible to differentiate between them. Two oranges are drawn at random from the lot. If denotes the

Number of functions , that assign 1 to exactly one of the positive integers less than or equal to 98 , is equal to ______

Let be a matrix such that and , then equals

Given below are two statements: Statement I: Statement II: In the light of the above statements, choose the correct answer from the options given below

Let and . Then is equal to

Let the area enclosed between the curves and be . If are integers, then the value of equals.

The sum of the infinite series is:

A coin is tossed three times. Let denote the number of times a tail follows a head. If and denote the mean and variance of , then the value of is:

If , where denotes the greatest integer function, then is equal to ______ .

The number of relations on the set , containing at most 6 elements including ( 1,2 ), which are reflexive and transitive but not symmetric, is .

The area of the region bounded by the curves and is:

Let . If the function +1 attains its local maximum and minimum values at the points and respectively such , then is equal to

The value of is equal to

Let be the origin, the point be the point be such that and . Then

Let the system of equations , have infinitely many solutions. Then the number of the solutions of this system, if are integers and satisfy , is

Let and be the critical points of the function . Let and respectively be the absolute minimum and the absolute maximum values of in the interval . Then is equal to (Take 0.7):

A board has 16 squares as shown in the figure: Out of these 16 squares, two squares are chosen at random. The probability that they have no side in common is

If is a root of the equation and , then is equal to .

The integral is equal to

The value of is

If the image of the point in the line joining the points and is , then is equal to :

Two number and are randomly chosen from the set of natural numbers. Then, the probability that the value of is non-zero, equals

Let be the identity matrix of order and for the matrix . Let be the inverse of the matrix . Then is equal to .

Let be a function such that . If the ; , then is equal to

The square of the distance of the point from the line in the direction of vector is

If , then is equal to

If the set of all values of , for which the equation has three distinct real roots, is the interval , then is equal to .

If , then equals:

Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls. The number of ways, 4 boys and 4 girls can be invited for a picnic if 5 of them must be from group and the remaini

The distance of the line from the point along the line is

Let the matrix satisfy for . Then the sum of all the elements of is:

is equal to

Let the mean and the standard deviation of the observation be 4 and respectively. Then the mean deviation about the mode of these observations is :

Let be continuous at . Then is equal to:

Let be a matrix such that 81. If , then is equal to

If the function , where , attains its local maximum and local minimum values at and , respectively, such that , then is equal to

Lef be a thrice differentiable odd function satisfying . Then is equal to ______ .

The sum of all local minimum values of the function is

Let be a function defined by . If is the number of points of local minima and n is the number of points of local maxima of , then is

Let . The number of relations on , containing and , which are reflexive and transitive but not symmetric, is _____

Let be a continuous function satisfying and for all . If , then is equal to

Let . If , then is equal to

The number of sequences of ten terms, whose terms are either 0 or 1 or 2 , that contain exactly five 1 s and exactly three 2 s , is equal to:

Let the area of the bounded region be . Then is equal to .

If the area of the region bounded by the curves and is equal to , then equals

Let be the foot of the perpendicular from the point on the line . Then the area of the right-angled triangle , where is the point , is

Let . Let be a relation on defined by if and only if . Let be the number of elements in . Let and be the minimum number of elements required to be added in to make it reflexive and symmetric relations

Let the domain of the function be and the domain of ) be ( ). Then is equal to .

The number of different 5 digit numbers greater than 50000 that can be formed using the digits , , such that the sum of their first and last digits should not be more than 8 , is

If the system of equations has infinitely many solutions, then is equal to

Using the principal values of the inverse trigonometric functions, the sum of the maximum and the minimum values of is:

If where , then is equal to

If the area of the larger portion bounded between the curves and is , then is equal to _____

The number of ways, in which the letters , can be placed in the 8 boxes of the figure below so that no row remains empty and at most one letter can be placed in a box, is:

A box contains 10 pens of which 3 are defective. A sample of 2 pens is drawn at random and let denote the number of defective pens. Then the variance of is

Let be a solution of , and for some and in , . If , then is equal to .

Let be the roots of the equation with . Let . If , and , then is equal to _____

If the system of equations has infinitely many solutions, then ( ) is equal to

Let . Then the numbers of local maximum and local minimum points of , respectively, are:

Let the function be strictly increasing in and strictly decreasing in . Then is equal to

If .Then is equal to .

The number of solutions of the equation is

If the area of the region is , then is equal to

Let be the set of seven digit numbers with sum of their digits equal to 11. If the numbers in are formed by using the digits 1,2 and 3 only, then the number of elements in the set is:

Let . Let be a relation on defined by if and only if . Let be the number of elements in and be the minimum number of elements required to be added in R to make it a reflexive relation. Then is equal t

If is the solution of the differential equation with , then is equal to:

A card from a pack of 52 cards is lost. From the remaining 51 cards, cards are drawn and are found to be spades. If the probability of the lost card to be a spade is , then is equal to .

Let be a function such that , . Then is equal to

is equal to:

Let a random variable take values with and . Then the value of is :

There are 12 points in a plane, no three of which are in the same straight line, except 5 points which are collinear. Then the total number of triangles that can be formed with the vertices at any thr

From all the English alphabets, five letters are chosen and are arranged in alphabetical order. The total number of ways, in which the middle letter is ' ', is:

Let be a matrix such that for all and . Let the random variable denote the possible values of the determinant of the matrix . Then, the variance of is:

Let be a differentiable function such that . Then is equal to

is equal to:

Let the domains of the functions and be and , respectively. Then is equal to:

Let be a complex number such that . If , then the maximum distance of from the circle is

If the function continuous at , then is equal to .

Let be a square matrix of order 2 with entries either 0 or 1 . Let be the event that is an invertible matrix. Then the probability is :

The function , defined by is:

A spherical chocolate ball has a layer of ice-cream of uniform thickness around it. When the thickness of the ice-cream layer is 1 cm , the ice-cream melts at the rate of and the thickness of the ice-

If the set of all , for which the roots of the equation are positive is , then is equal to .

Let and respectively be the maximum and the minimum values of Then is equal to

If and are non-singular matrices of same order, then the inverse of , is equal to

Three distinct numbers are selected randomly from the set . If the probability, that the selected members are in an increasing G.P., is , then is equal to .

The number of complex numbers , satisfying and , is

If is finite, then is equal to:

Let be a tetrahedron such that the edges , and are mutually perpendicular. Let the areas of the triangles and be 5,6 and 7 square units respectively. Then the area (in square units) of the is equal to

The number of singular matrices of order 2 , whose elements are from the set , is

For , if , then is equal to

Let for some function and . Then is equal to

For , let denote the set of all subsets of with no two consecutive numbers. For example but . Then is equal to .

Consider the lines and . Let the feet of the perpendiculars from the point on the lines and be and respectively. If the area of the triangle is , then is equal to

For a matrix , let trace denote the sum of all the diagonal elements of . Let be a matrix such that and trace . If , then the value of equals

Let and . Let , and be the vertices of a triangle , where is a parameter. If , is the locus of the centroid of triangles , then equals

A bag contains 19 unbiased coins and one coin with head on both sides. One coin drawn at random is tossed and head turns up. If the probability that the drawn coin was unbiased, is , then is equal to:

Let and . If and the sum of the diagonal elements of is , where , then is:

Let and be a relation on defined by if and only if . Let be the number of elements in . Let and be the minimum number of elements required to be added in to make it reflexive and symmetric relations,

The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is ______

Let the equation have equal roots. Then the distance of the point from the line is

Let be a twice differentiable function such that , for all . If , then the value of is:

Let and be the roots of , and and be the roots of . If and , then is equal to

Let be a square matrix of order 3 such that and , . Then is equal to

Let the domain of the function be . If 1 , where is the greatest integer function, then is equal to

Let and . Then the number of many-one functions such that is equal to

Let be the point of intersection of the curve and the straight line in the second quadrant. Then the integral is equal to:

Let and . Then the minimum value of is

The integral is equal to:

Let denote the set of all real matrices of order and let . Let If , then equals ______

Let and be two distinct points on the line . Both and are at a distance from the foot of perpendicular drawn from the point ( ) on the line . If is the origin, then is equal to

The probability, of forming a 12 persons committee from 4 engineers, 2 doctors and 10 professors containing at least 3 engineers and at least 1 doctor, is

Considering the principal values of the inverse trigonometric functions, , , is equal to

The integral is equal to

Let the system of equations: have infinitely many solutions. Then the radius of the circle centred at ( ) and touching the line is

If a curve passes through the point and satisfies the differential equation ( cosecy) , then at , the value of cosy is :

Let the line passing through the points and parallel to the line intersect the line at the point . Then the distance of from the point is

Let the line pass through and intersect the lines and . Then, which of the following points lies on the line ?

Let the curve , divide the region into two parts of areas and . Then equals:

Let be a differentiable function. If for all , then the value of is :

Let . Define a relation from to by: Then, the sum of all the elements in the range of is equal to

All five letter words are made using all the letters , and arranged as in an English dictionary with serial numbers. Let the word at serial number be denoted by . Let the probability of choosing the w

Let and be the distinct roots of . If and are the minimum and the maximum values of , then equals:

Let be the solution of the differential equation . Then is equal to

Let and be two lines. Then which of the following points lies on the line of the shortest distance between and ?

The number of natural numbers, between 212 and 999 , such that sum of their digits is 15 , is ______ .

The area of the region enclosed by the curves and -axis is:

Let be the set of first ten prime numbers. Let , where is the set of all possible products of distinct elements of . Then the number of all ordered pairs , such that divides , is _____.

Let . If and , then the quadratic equation having roots and is:

Let be the solution of the differential equation If , then is equal to:

If the locus of , such that , is a circle of radius and center , then is equal to:

Let , be the equation of a circle with center at . If the area of the triangle, whose vertices are at the points and is 11 square units, then equals:

Let and and . Then

The number of 6-letter words, with or without meaning, that can be formed using the letters of the word MATHS such that any letter that appears in the word must appear at least twice is

Let denote the greatest integer less than or equal to . Then the domain of is:

Let a straight line pass through the point and be perpendicular to the lines and . If the line intersects the -plane at the point , then the distance between the points and is

If the area of the region is , then the value of is:

is

Let where [.] denotes greatest integer function. If and are the number of points, where is not continuous and is not differentiable, respectively, then equals ______

Let and be three complex numbers on the circle with and . If , then the value of is:

Let be function which is differentiable at all points of its domain and satisfies the condition , with . Then is equal to:

Let and be a relation on such that . Let , be a sequence of elements of such that the second entry of an ordered pair is equal to the first entry of the next ordered pair. Then the largest integer , f

Let . Then the value of is equal to

Let the values of , for which the shortest distance between the lines and is , be , . Then the length of the latus rectum of the ellipse is:

The product of all the rational roots of the equation , is equal to

The area of the region, inside the circle and outside the parabola is:

If the domain of the function is , then is equal to

The relation and is even is:

Line of slope 2 and line of slope intersect at the origin . In the first quadrant, are 12 points on line and are 9 points on line . Then the total number of triangles, that can be formed having vertic

and alternately throw a pair of dice. wins if he throws a sum of 5 before throws a sum of 8 , and wins if he throws a sum of 8 before throws a sum of 5 . The probability, that wins if makes the first

If the system of linear equations: where , has infinitely many solutions, then is equal to:

Let be a polynomial function of degree four having extreme values at and . If , then is equal to

Let A be defined by +7 and be defined by . If both the functions are onto and or , then is equal to :

Let the shortest distance between the lines and be . Then the positive value of is

For some , let . Then is equal to

If the domain of the function ) is , then is equal to

The number of words, which can be formed using all the letters of the word "DAUGHTER", so that all the vowels never come together, is

The area of the region bounded by the curve , the -axis and the lines and is equal to

Let be the solution of the differential equation . If , then is

The number of points of discontinuity of the function , where [.]denotes the greatest integer function is .

Let be the image of the point in the line and be a point on . Then the square of the area of is .

The system of equations has no solution if

Let be the solution of the differential equation . If then is equal to_______

Let . Then is equal to ______

If , then is equal to

Let be a polynomial of degree 2 , satisfying . If , then the sum of squares of all possible values of is :

If for some and , then is _____

Let Then is equal to

The area of the region enclosed by the curves and is

Marks obtains by all the students of class 12 are presented in a frequency distribution with classes of equal width. Let the median of this grouped data be 14 with median class interval 12-18 and medi

Let a line passing through the point intersect the line at the point and the line at the point . Then is equal to

The value of is

The number of real solution(s) of the equation is

If , then is equal to

Let and and . Then is equal to

The perpendicular distance, of the line from the point , is:

Line passes through the point and is parallel to -axis. Line passes through the point ( ) and is parallel to -axis. Let for , , the shortest distance between the two lines be 3 . Then the square of th

If the system of equations has infinitely many solutions, then is equal to:

Let and be two lines. Let be a line passing through the point and be perpendicular to both and . If intersects , then equals

Let the Mean and Variance of five observations and , be 5 and 10 respectively. Then the Variance of the observations is

The area (in sq. units) of the region is

Let the vertices and of the triangle lie on the line and the coordinates of the point be . If the area of the triangle is then:

Let the product of and be . Let and be the maximum and the minimum values of respectively. Then is equal to:

Let the function be not differentiable at the two points and . Then the distance of the point from the line is equal to

The line is parallel to the vector and passes through the point and the line is parallel to the vector and passes through the point . The shortest distance between the lines and is :

In a group of 3 girls and 4 boys, there are two boys and . The number of ways, in which these girls and boys can stand in a queue such that all the girls stand together, all the boys stand together, b

If the mean and the variance of , 13 are 9 and 9.25 respectively, then is equal to :

If , then the expression is equal to:

The number of 3-digit numbers, that are divisible by 2 and 3 , but not divisible by 4 and 9 , is____

Let and , be two 2-digit numbers. Then the total number of pairs , such that , , is .

is equal to

Bag 1 contains 4 white balls and 5 black balls, and Bag 2 contains white balls and 3 black balls. One ball is drawn randomly from Bag 1 and transferred to Bag 2. A ball is then drawn randomly from Bag

If the function is continuous at then is equal to

Let integers be such that . Then the number of all possible ordered pairs , for which and , where and are the roots of , is equal to ______ .

If the probability that the random variable takes the value is given by , where is a constant, then is equal to

Let be defined as and . If the range of the function is , then is equal to

Let be a relation defined on the set . Then the minimum number of elements, needed to be added in so that becomes an equivalence relation, is:

Let be real valued continuous function defined on the positive real axis such that . If , then value of is :

If , then the value of equals:

Let and for . If , then is

Two balls are selected at random one by one without replacement from a bag containing 4 white and 6 black balls. If the probability that the first selected ball is black, given that the second selecte

One die has two faces marked 1 , two faces marked 2 , one face marked 3 and one face marked 4. Another die has one face marked 1 , two faces marked 2 , two faces marked 3 and one face marked 4. The pr

Let be a twice differentiable function such that . If for all and , then is equal to:

Let If , then is equal to

Let the area of the region be . Then is equal to

Among the statements(S1): The set and is purely real\} contains exactly two elements, and(S2): The set and is purely imaginary contains infinitely many elements.

Let be the solution of the differential equation that . Then is equal to .

Let , where is the constant of integration. If , , then equals:

Let the value of for which the shortest distance between the lines and is be and . Then the radius of the circle passing through the points , ( ) and ( ) is

Let be a positive function and Then the value of is equal to .

If the system of equations has infinitely many solutions, then is equal to

The distance of the point from the line along the line is

If , then is equal to :

Let be a twice differentiable function such that for all . If and satisfies , then the area of the region , is:

Let . If is the cofactor of and , then is equal to

If the range of the function 1,2 , is , then is equal to:

The area of the region is

If and are two events such that , and and are the roots of the equation , then the value of is :

If the area of the region is , then is equal to ____ .

Let be such that . Then the sum of all possible values of is

Let for , and . Then is equal to

Define a relation on the interval by if and only if . Then is:

Let and . If , and , then the value of is :

Let be the greatest integer less than or equal to . Then the least value of for which is equal to ______ .

Let be the set of all the words that can be formed by arranging all the letters of the word GARDEN. From the set , one word is selected at random. The probability that the selected word will NOT have

Let be the foot of the perpendicular from the point on the line . Let the , intersect the line at . Then is

Let and be a matrix of order such that and , where is the identity matrix of order . If )) is , then is equal to

Let and , be two lines, which intersect at the point . If is the foot of perpendicular from the point and , then the value of is

If the image of the point in the line is , then is equal to

If the area of the region is , then is equal to

Let be a differentiable function such that for all . Then the area of the region bounded by and the coordinate axes is

If , where is the constant of integration, then equals:

The number of non-empty equivalence relations on the set is:

The sum, of the squares of all the roots of the equation , is

If the domain of the function is , then is equal to

Let be the solution curve of the differential equation , , passing through the point . Then is equal to

If all the words with or without meaning made using all the letters of the word "KANPUR" are arranged as in a dictionary, then the word at position in this arrangement, is:

If the square of the shortest distance between the lines and is , where are coprime numbers, then is equal to :

Let and .If or , then is

If and are two events such that and , where denotes the complement of , then is equal to

Let be ten observations such that , and their variance is . If and are respectively the mean and the variance of , , then is equal to

For , let and be the roots of the equation If and , then 72(a+b) is equal to .

Consider the equation where , 100] is a natural number. Then the number of all distinct values of , for which the given equation has integral roots, is equal to

If then is

Let be a differentiable function such that and let satisfy the differential equation . If , then is equal to

Let . If , then is equal to

The mean and standard deviation of 100 observations are 40 and 5.1, respectively. By mistake one observation is taken as 50 instead of 40. If the correct mean and the correct standard deviation are an

Let denote the greatest integer function, and let and respectively be the numbers of the points, where the function , is not continuous and not differentiable. Then is equal to :

Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance as shown in the figure. An external resistance of as connected via the sliding contact. The electric cur

If is a nonzero vector such that its projections on the vectors and are equal, then a unit vector along is

Energy released when two deuterons fuse to form a helium nucleus is (Given: Binding energy per nucleon of and binding energy per nucleon of )

The refractive index of the material of a glass prism is . The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism?

Two monochromatic light beams have intensities in the ratio 1:91: 91:9. An interference pattern is obtained by these beams. The ratio of the intensities of maximum to minimum is

A symmetric thin biconvex lens is cut into four equal parts by two planes ABA BAB and CDC DCD as shown in figure. If the power of original lens is 4D then the power of a part of the divided lens is

Electric charge is transferred to an irregular metallic disk as shown in figure. If and are charge densities at given points then, choose the correct answer from the options given below: A. B. C. D. E

Let be three points in -plane, whose position vector are given by and respectively with respect to the origin . If the distance of the point from the line bisecting the angle between the vectors and i

Let uuu and vvv be the distances of the object and the image from a lens of focal length fff. The correct graphical representation of uuu and vvv for a convex lens when ∣u∣>f|u|>f∣u∣>f, is

The energy of a system is given as , where is the time and . The errors in the measurement of and are and , respectively. At , maximum percentage error in the energy is : [23 Jan 2025 Shift 2]

A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear force of at the top. Considering infinitesimally small displacement in the upper edge, the angular dis

The magnetic field inside a 200 turns solenoid of radius 10 cm is Tesla. If the solenoid carries a current of 0.29 A , then the length of the solenoid is ______ .

A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim is . The speed of the particle on the rim of the wheel at the same level as the centre of wheel, will be

An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a liquid of density . If the pressure inside the bubble is greater than the atmospheric pressure, then the surface ten

The electric field in a region is given by . The flux of the field through a rectangular surface parallel to plane is . The area of the surface is .

An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density . Choose the correct option from the following.

A body of mass is suspended by two strings making angles and with the horizontal ceiling with tensions and simultaneously. and are related by , the angles and are

A helicopter flying horizontally with a speed of 360 at an altitude of 2 km , drops an object at an instant. The object hits the ground at a point after it is dropped. Displacement of ' ' from the pos

A spherical surface of radius of curvature , separates air from glass (refractive index = ). The centre of curvature is in the glass medium. A point object ' ' placed in air on the optic axis of the s

Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is connected to the first capacitor in parallel. If the final voltage a

A convex lens of focal length 30 cm is placed in contact with a concave lens of focal length 20 cm . An object is placed at 20 cm to the left of this lens system. The distance of the image from the le

A block of mass 1 kg , moving along with speed enters a rough region ranging from to . The retarding force acting on the block in this range is , with . Then the final speed of the block as it crosses

Two thin convex lenses of focal lengths 30 cm and 10 cm are placed coaxially, 10 cm apart. The power of this combination is:

Light from a point source in air falls on a spherical glass surface (refractive index, and radius of curvature = ). The image is formed at a distance of 200 cm from the glass surface inside the glass.

Consider two vectors and . The angle between them is given by . Let , where is parallel to and is perpendicular to . Then the value is equal to

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A): Knowing initial position and initial momentum is enough to determine the positio

Two infinite identical charged sheets and a charged spherical body of charge density ' ' are arranged as shown in figure. Then the correct relation between the electrical fields at and points is

In photoelectric effect an em-wave is incident on a metal surface and electrons are ejected from the surface. If the work function of the metal is 2.14 eV and stopping potential is 2 V , what is the w

Which one of the following is the correct dimensional formula for the capacitance in F ? , T and C stand for unit of mass, length, time and charge,

The ratio of the power of a light source to that the light source is 2 . is emitting photons per second at 600 nm . If the wavelength of the source is 300 nm , then the number of photons per second em

In a Young's double slit experiment, two slits are located 1.5 mm apart. The distance of screen from slits is 2 m and the wavelength of the source is 400 nm . If the 20 maxima of the double slit patte

Consider the following statements: A. The junction area of solar cell is made very narrow compared to a photo diode. B. Solar cells are not connected with any external bias. C. LED is made of lightly

If and are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correct graphical representation for the particle will be

Choose the correct logic circuit for the given truth table having inputs and . Inputs Output 0 0 0 0 1 0 1 0 1 1 1 1

Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of ion in its ground state is given by , where (Where , is the first Bohr's radius.)

In the following circuit, the reading of the ammeter will be(Take Zener breakdown voltage )

Let and be a vector such that and . Then the maximum value of is

A bead of mass ' ' slides without friction on the wall of a vertical circular hoop of radius ' ' as shown in figure. The bead moves under the combined action of gravity and a massless spring ( ) attac

Match List-I with List-II. List-I List-II a. Mass density (i) b. Impulse (ii) c. Power (iii) d. Moment of inertia (iv) Choose the correct answer from the options given below : [7 Apr 2025 Shift 2]

Medium 1 n1=1n_1=1n1​=1 Medium 2 n2=1.5n_2=1.5n2​=1.5 A spherical surface separates two media of refractive indices 1 and 1.5 as shown in figure. Distance of the image of an object ' OOO ', is( CCC is

An alternating current is given by . The r.m.s current will be

Consider a completely full cylindrical water tank of height 1.6 m and of cross-sectional area . It has a small hole in its side at a height 90 cm from the bottom. Assume, the cross-sectional area of t

A line charge of length ' ' is kept at the center of an edge of a cube having edge length ' ' as shown in the figure. If the density of line charge is per unit length, then the total electric flux thr

A body of mass 4 kg is placed on a plane at a point having coordinates . Under the action of force , it moves to a new point having coordinates in 4 sec . The average power and instantaneous power at

The excess pressure inside a soap bubble in air is half the excess pressure inside another soap bubble in air. If the volume of the bubble is times the volume of the bubble , then, the value of is .

A point particle of charge is located at along the axis of an electric dipole 1 at a distance as shown in the figure. The point is also on the equatorial plane of a second electric dipole 2 at a dista

In an experiment with photoelectric effect, the stopping potential,

Let be the projection vector of , on the vector . If , then the area of the parallelogram formed by the vectors and is ______

A bi-convex lens has radius of curvature of both the surfaces same as 16 cm. If this lens is required to be replaced by another convex lens having different radii of curvatures on both sides ( ), with

The Young's double slit interference experiment is performed using light consisting of 480 nm and 600 nm wavelengths to form interference patterns. The least number of the bright fringes of 480 nm lig

A photograph of a landscape is captured by a drone camera at a height of 18 km . The size of the camera film is and the area of the landscape photographed is . The focal length of the lens in the dron

Young's double slit interference apparatus is immersed in a liquid of refractive index 1.44. It has slit separation of 1.5 mm . The slits are illuminated by a parallel beam of light whose wavelength i

Consider following statements: A. Surface tension arises due to extra energy of the molecules at the interior as compared to the molecules at the surface, of a liquid. B. As the temperature of liquid

A point charge causes an electric flux of to pass through a spherical Gaussian surface of 8.0 cm radius, centred on the charge. The value of the point charge is: (Given )

The velocity a time graph of an object moving along a straight line is shown in figure. What is the distance covered by the object between to ?[28 Jan 2025 Shift 2]

Consider a circular loop that is uniformly charged and has a radius . Find the position along the positive -axis of the cartesian coordinate system where the electric field is maximum if the ring was

A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field exists into the page. The bar starts to move from the vertex at time with a constant velocity. If the i

Consider a long straight wire of a circular crosssection (radius a) carrying a steady current . The current is uniformly distributed across this crosssection. The distances from the centre of the wire

Distance between object and its image (magnified by ) is 30 cm . The focal length of the mirror used is , where magnitude of value of x is ____

Two bodies and of equal mass are suspended from two massless springs of spring constant and , respectively. If the bodies oscillate vertically such that their amplitudes are equal, the ratio of the ma

A plano-convex lens having radius of curvature of first surface 2 cm exhibits focal length of f1f_1f1​ in air. Another plano-convex lens with first surface radius of curvature 3 cm has focal length of

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Time period of a simple pendulum is longer at the top of a mountain than that

An object of mass ' ' is projected from origin in a vertical plane at an angle with the - axis with an initial velocity . The magnitude and direction of the angular momentum of the object with respect

List-I List-II (A) Electric field inside (distance from center) of a uniformly charged spherical shell with surface charge density , and radius . (I) (B) Electric field at distance from a uniformly ch

For an experimental expression , where all the digits are significant. Then to report the value of we should write[24 Jan 2025 Shift 1]

An alternating current is represented by the equation, ampere. The RMS value of current and the frequency of the given alternating current are

The unit of is : ( = intensity of an electromagnetic wave, = speed of light)

A parallel plate capacitor has charge . A dielectric slab is inserted between the plates and almost fills the space between the plates. If the induced charge on one face of the slab is then the dielec

A parallel-plate capacitor of capacitance is connected to a 100 V power supply. Now the intermediate space between the plates is filled with a dielectric material of dielectric constant . Due to the i

Two projectiles are fired with same initial speed from same point on ground at angles of and , respectively, with the horizontal direction. The ratio of their maximum heights attained is : [29 Jan 202

Given is a thin convex lens of glass (refractive index ) and each side having radius of curvature . One side is polished for complete reflection. At what distance from the lens, an object be placed on

In a series LCR circuit, a resistor of , a capacitor of and an inductor of 100 mH are used. For maximum current in the circuit, the angular frequency of the ac source is _____ radians .

There are number of identical electric bulbs, each is designed to draw a power independently from the mains supply. They are now joined in series across the mains supply. The total power drawn by the

A magnetic dipole experiences a torque of when placed in uniform magnetic field in such a way that dipole moment makes angle of with magnetic field. The potential energy of the dipole is :

An ac current is represented as The r.m.s value of the current is

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The density of the copper nucleus is greater than that of the carbon nucleus.

What is the relative decrease in focal length of a lens for an increase in optical power by 0.1D from 2.5 D? ['D' stands for dioptre]

If denotes the permittivity of free space and is the flux of the electric field through the area bounded by the closed surface, then dimensions of are that of:

Two identical symmetric double convex lense focal length fff are cut into two equal parts L1,LL_1, LL1​,L ABA BAB plane and L3,L4L_3, L_4L3​,L4​ by XYX YXY plane as shown in fig respectively. The rati

Let and . Let and be two lines. If the line passes through the point of intersection of and and is parallel to , then passes through the point