JEE Main 2026 Previous Year Question Paper with Solutions

The percentage of nitrogen in product ' T ' formed is \%. (Nearest integer)(Given molar mass in )

Which statements are NOT TRUE about ?A. It has a see-saw shape. B. Xe has 5 electron pairs in its valence shell in . C. The bond angle is close to . D. The bond angle is close to . E. Xe has 16 valenc

The correct order of reactivity of the following benzyl halides towards reaction with KCN is :

For the following reaction at and 2 atm pressure, . is 50The magnitude of standard free energy change at this temperature is x. [Nearest integer] Given : [JEE Main 4 Apr 2026 Shift 2]

Statement I : The correct order of electronegativity of fluorine, oxygen nitrogen is .Statement II : The oxidation state of oxygen in is +2 and in is -2 .In the light of the above statements, choose t

A mixed ether , when heated with excess of hot concentrated hydrogen iodide produces two different alkyl iodides which when treated with aq. NaOH give compounds and . Both and give yellow precipitate

Pair of species among the following having same bond order as well as paramagnetic character will be-

Consider the following reactions. (Hot solution) In the above reactions, and X are respectively.

Match List-I with List-II.List-I Mass of substanceList-II Number of atomsA.1.8 mg waterI. B.9.8 mg sulphuric acidII. C.1.8 mg carbonIII. D.5.85 mg salt (NaCl)IV. Choose the correct answer from the opt

Given below are two statements:Statement I: The number of compounds among and in which sulphur does not obey the Octet rule is 3.Statement II: Among and the number of sets in which all the molecules h

For reaction , rate constant at . If activation energy for the above reaction is , then the temperature (in ) at which rate constant, is ______. (Nearest integer)Given : [JEE Main 2 apr 2026 Shift 1]

Given below are two statements : Statement I : Elements ' and ' ' are the most and least electronegative elements, respectively among and P . The nature of the oxides and is acidic and amphoteric, res

" X " is an oxoanion of the lightest element of group 7 (in the periodic table). The metal is in +6 oxidation state in " ". The color of the potassium salt of is

Match the LIST-I with LIST-II List-I Reagents List-II Name of Reaction involving carbonyl compounds A. I. Tollen's Test B. II. Clemmensen Reduction C. Aq. , Sodium Potassium tartarate, KOH III. Wolff

Given below are two statements :Statement I: A mixture of (sugar) and NaCl can be separated by dissolving sugar in alcohol, due to differential solubility.Statement II : Rose essence from rose petals

For the given reaction; . If is added to 300 mL of HCl which contains by mass and has density , then which of the following option is correct? Given molar mass of and O are and respectively.

Identify the correct IUPAC name of hydrocarbon (x) containing three primary carbon atoms and with molar mass 72 g .[JEE Main 5 April 2026 Shift 2]

In the given electrochemical cell, at 298 K , the cell potential ( ) will increase when : A. Concentration of is increased. B. Concentration of is decreased. C. Concentration of is decreased. D. Conce

Which of the following statement(s) is/are true ?(A) If two orbitals have the same value of ( ), the orbital with lower value of n will have lower energy.(B) Energies of the orbitals in the same subsh

Among and , the ion that shows positive borax bead test and with highest ionisation enthalpy is:[JEE Main 2 apr 2026 Shift 2]

Pairs of elements with the same number of electrons in their respective 4f orbital are[Atomic number, Eu-63, Gd-64, Dy-66, Ho-67, Tm-69, Yb-70, Lu-71, Hf-72]A. (Eu and Gd)B. (Dy and Ho)C. (Yb and Hf)D

Consider a weak base ' B ' of of 0.02 M HCl and ' y ' mL of 0.02 M weak base ' B ' are mixed to make 100 mL of a buffer of pH 9 at . The values of ' ' and ' ' respectively are : [Given : ]

Given below are two statements : Statement I : ion will absorb light of lower energy than ion. Statement II: In ion, the energy separation between the two set of d-orbitals is more than ion. In the li

Which of the following statements regarding the energy of the stationary state is true in the following one electron systems ?

lodoform test can differentiate between A. Methanol and Ethanol B. and C. Cyclohexene and cyclohexanone D. Diethyl ether and Pentan-3-one E. Anisole and acetone Choose the correct answer from the opti

Which of the following amino acid will give violet coloured complex with neutral ferric chloride solution?[JEE Main 8 apr 2026 shift 2]

Consider the following spectral lines for atomic hydrogen : A. First line of Paschen series B. Second line of Balmer series C. Third line of Paschen series D. Fourth line of Bracket series The correct

Correct statements regarding alkyl halides ( ) among the following are :(A) Alcohol being less polar solvent as compared to water, alcoholic KOH favours elimination reaction with .(B) Order of reactiv

Consider three metal chlorides and z , where x is water soluble at room temperature, y is sparingly soluble in water at room temperature and z is soluble in hot water. and z are respectively

Given below are two statements : Statement I : Phenol on treatment with /aq. KOH under refluxing condition, followed by acidification produces -hydroxy benzaldehyde as the major product and -hydroxy b

Given below are two statements :Statement-I : Presence of large number of unpaired electrons in transition metal atoms results in higher enthalpies of their atomisation.Statement-II : and are the d-or

Consider the following reduction processes : The tendency to act as reducing agent decreases in the order :

On heating a mixture of common salt and in equal amount along with concentrated in a test tube, a gas is evolved. Formula of the gas evolved and oxidation state of the central metal atom in the gas re

The cycloalkene ( X ) on bromination consumes one mole of bromine per mole of ( X ) and gives the product in which ratio is . The percentage of bromine in the product is \%. (Nearest integer)(Given :

An alkene (X) on ozonolysis followed by reduction gives following products. (2 moles), , . The alkene (X) is :[JEE Main 4 Apr 2026 Shift 1]

In Dumas method for estimation of nitrogen, 0.50 g of an organic compound gave 70 mL of nitrogen collected at 300 K and 715 mm pressure. The percentage of nitrogen in the organic compound is . (Aqueou

The total number of unpaired electrons present in the (low spin) (high spin), (high spin) and (low spin) octahedral complex systems is _______ .[JEE Main 5 April 2026 Shift 2]

Consider the following reaction of benzene. In compound , the percentage of oxygen is %. (Nearest integer)

The pairs among and that do not have similar Lewis dot structure are :[JEE Main 6 Apr 2026 shift 1]

Identify the correct statements from the following :A. Heisenberg uncertainty principle is applicable to electron.B. The size of orbital is less than the size of orbital.C. The energy of 2s orbital of

The final product is :

The hydrogen spectrum consists of several spectral lines in Lyman series has lowest energy among Lyman series). Similarly it consists of several spectral lines in Balmer series ( has lowest energy amo

of pure HCl was used to make an aqueous solution. 25.0 mL of solution is used when the HCl solution was titrated against it. The numerical value of is . (Nearest integer)Given : Molar mass of HCl and

Arrange the following compounds in order of decreasing acidity:

[equation] Compound (X) is subjected to the sequence of reactions as shown above. Molar mass of the major product (Y) formed is _____ \ ^{-1}.(Given molar mass in \ ^{-1}\ : 12,\ : 1,\ : 16)[JEE Main

The first and second ionization constants of are and respectively. The concentration of in solution is . (Nearest Integer)

Amongst the following, the total number of compounds soluble in aqueous NaOH at room temperature is[JEE Main 4 Apr 2026 Shift 1]

In the light of the above statements, choose the correct answer from the options given below

Given below are two statements :Statement I: Vapours of the liquid with higher boiling point condense before vapours of the liquid with lower boiling points in fractional distillation.Statement II: Th

The correct statements about metal carbonyls areA. The metal-carbon bonds in metals carbonyls possess both σ and character.B. Due to synergic bonding interactions between metals and CO ligand the meta

Given below are two statements :Statement-I : Aluminium is more electropositive than thallium as the standard electrode potential value of is negative and is positive.Statement-II : The sum of first t

The Bohr radius of a hydrogen like species is 70.53 pm. The species and the stationary state(n) are respectively(Given: Hydrogen atom Bohr radius is 52.9 pm)[JEE Main 6 Apr 2026 shift 2]

The correct order of first and second ionisation enthalpy values of cr and Mn are :A. B. C. D. Choose the correct answer from the options given below :[JEE Main 6 Apr 2026 shift 2]

20 mL of a solution of acetic acid required 28.4 mL of 0.1 M NaOH for its neutralization. A solution (X) was prepared by mixing 20 mL of the above acetic acid and 14.2 mL of 0.1 M NaOH solution. What

Identify A in the following reaction.

The values of pressure equilibrium constant recorded at different temperatures for the following equilibrium reaction have been given below: 0.05 3.5 0.06 2.5 0.07 1.5 The magnitude of calculated from

Consider the reaction: . The magnitude of enthalpy change for the reaction in is _____. (Nearest integer) Given: [JEE Main 8 apr 2026 shift 2]

What is the ratio of wave number of first line (lowest energy line) of Balmer series of H atomic spectrum to first line of its Brackett series?[JEE Main 4 Apr 2026 Shift 1]

Identify the incorrect statements : A. is a stronger base than B. can be synthesized by Gabriel phthalimide synthesis. C. Primary aromatic amine D. product will dissolve in NaOH. Choose the correct an

Consider the following reactions : In the product ' ' is the number of units, ' ' is the total number oxygen atoms present and ' ' is the oxidation state of . The value of is .

Which of the following represents the correct trend for the mentioned property?A. - First Ionization Energy B. - Electron Affinity C. - Metallic character D. - Basic character Choose the correct answe

A student has been given a compound " " of molecular formula- . ' ' is sparingly soluble in water. However, on addition of dilute mineral acid, ' ' becomes soluble in water. ' ' when treated with and

The half-life of is 245 days. After days, of original activity remained. The value of in days is . (Nearest integer)(Given: and )

500 mL of solution in basic medium when mixed with 500 mL of 1.5 M KI solution, oxidises iodide ions to liberate molecular iodine. This liberated iodine is then titrated with a standard x M thiosulpha

A D-aldotetrose on oxidation with concentrated resulted in optically inactive dicarboxylic acid. The structure of the D-aldotetrose is :[JEE Main 4 Apr 2026 Shift 2]

Consider the following gaseous equilibrium in a closed container of volume ' at . 2 moles each of and are present at equilibrium. Now one mole each of ' ' and ' ' are added to the equilibrium keeping

One mole of was passed into 2 L of cold 2 M KOH solution. After the reaction, the concentrations of and are respectively (assume volume remains constant)

For the given molecule, “x”, the preferred site for the attack of the electrophile is[JEE Main 2 apr 2026 Shift 1]

X is the number of geometrical isomers exhibited by . Y is the number of optically inactive isomer(s) exhibited by Z is the number of geometrical isomers exhibited by . The value of is 。

Given below are two statements: Statement I : The number of paramagnetic species among and is 3 . Statement II : is the correct order in terms of number of unpaired electron(s) present in the complexe

Among and , identify the one that gets precipitated out while passing in presence of as group reagent. The highest possible oxidation state of the corresponding metal is[JEE Main 4 Apr 2026 Shift 2]

Elements and belong to Group 15. The difference between the electronegativity values of ' ' and phosphorus is higher than that of the difference between phosphorus and ' ' are respectively

Identify the INCORRECT statements from the following: A. Notation represents 24 protons and 12 neutrons. B. Wavelength of a radiation of frequency is . C. One radiation has wavelength and energy . Oth

Given below are two statements : Statement I : The increasing order of boiling point of hydrogen halides is . Statement II : The increasing order of melting point of hydrogen halides is . In the light

Match List - I with List - II according to shape. List - 1List - IIA. B. C. D. 1. II. III. IV. Choose the correct answer from the options given below :

14.0 g of calcium metal is allowed to react with excess HCl at 1.0 atm pressure and 273 K . Which of the following statements is incorrect?[Given : Molar mass in of ]

An organic compound " P " of molecular formula gives positive lodoform test but negative Tollen's test. When " P " is treated with dilute acid, it produces " Q ". " Q " gives positive Tollen's test an

The incorrect statement from the following with respect to carbohydrates is :[JEE Main 8 apr 2026 shift 2]

Given below are two statements :Statement-I : The condensation reaction between and under optimum pH will produce . Statement-II : The molecule, will generate in the presence of dilute acid.In the lig

Total number of unpaired electrons present in the central metal atoms/ions of and is .

Given below are statements about some molecules/ions. Identify the CORRECT statements. A. The dipole moment value of is higher than that of . B. The dipole moment value of is zero. C. The bond order o

A student performed analysis of aliphatic organic compound ' ' which on analysis gave . This compound, on treatment with produced another compound ' Y ' which did not contain any nitrogen atom. Howeve

For the reaction, , graph is plotted as shown below. Identify correct statements.A. Standard free energy change for the reaction is .B. As in graph is positive, will not dissociate into at all.C. Reve

Decomposition of a hydrocarbon follows the equation . The activation energy of reaction is ______ . (Nearest Integer)Given : [JEE Main 6 Apr 2026 shift 2]

The temperature at which the rate constants of the given below two gaseous reactions become equal is K. (Nearest integer) Given

Match List-I with List-II.List-I VitaminList-II NameA. Vitamin I. PyridoxineB. Vitamin II. Ascorbic acidC. Vitamin III. ThiamineD. Vitamin CIV. RiboflavinChoose the correct answer from the options giv

Molar conductivity of a weak acid HQ of concentration 0.18 M was found to be of the molar conductivity of another weak acid HZ with concentration of 0.02 M . If happened to be equal with , then the di

Given below are two statements : Statement I : The first ionization enthalpy of Cr is lower than that of Mn . Statement II: The second and third ionization enthalpies of Cr are higher than those of Mn

Given below are two statements : Statement I: The number of pairs among and , which contain oxides that are both amphoteric is 2 . Statement II: is an electron deficient molecule, can act as a Lewis a

Assuming that the reaction proceeds to completion, then 137 mg of 4-nitrotoluene will produce mg of . (Given molar mass in )

Given below are two statements : and Statement I : When , the room temperature rate constant is doubled by a increase in temperature ( 298 K to 308 K)Statement II : For a first order reaction ,Here is

The correct order of and F in terms of second ionisation potential is

The correct statements are: A. Activation energy for enzyme catalysed hydrolysis of sucrose is lower than that of acid catalysed hydrolysis. B. During denaturation, secondary and tertiary structures o

The compound (X) on(i) on heating in the presence of anhydrous and HCl gas gives 2,4-dimethyl pentane(ii) aromatization gives toulene and(iii) cyclisation gives methyl cyclohexaneThe correct name of c

Given below are two statements :Statement-I : 2, 6-diethylcyclohexanone and 6-methyl-2-n-propylcyclohexanone are metamers.Statement-II : 2, 2, 6, 6-tetramethylcyclohexanone exhibits keto-enol tautomer

Identify the correct statements: The presence of group in benzene ring A. activates the ring towards electrophilic substitutions. B. deactivates the ring towards electrophilic substitutions. C. activa

Identify the correct statements. A. Arginine and Tryptophan are essential amino acids. B. Histidine does not contain heterocyclic ring in its structure. C. Proline is a six membered cyclic ring amino

An organic compound undergoes first order decomposition. The time taken for decomposition to and of its initial concentration are and respectively. What is the value of ?

(first reaction) (second reaction)Consider the above two first-order reactions. The rate constant for first reaction at 500 K is double of the same at 300 K . At 500 K , of the reaction becomes comple

Given below are two statements :Statement I: The covalency of oxygen is generally two but it can exceed upto four. The oxidation state of oxygen in is -2 and in it is +2 .Statement II: The anomalous b

is an endothermic reaction occurring in three steps (elementary). (i) (ii) (iii) Which of the following graphs between potential energy ( -axis) vs reaction coordinate ( -axis) correctly represents th

Consider the following reaction. Product Statement I: In the above reaction, product formed will be a mixture of benzyl alcohol and iodobenzene. Statement II: In the above reaction, the bond is cleave

The first and second ionization constants of a weak dibasic acid are and respectively. 0.1 mol of was dissolved in 1L of 0.1 M HCl solution. The concentration of in the resultant solution is :[JEE Mai

Given below are two statements : Statement I : The halogen that makes longest bond with hydrogen in HX, has the smallest covalent radius in its group. Statement II : A group 15 element's hydride has t

A student is given one compound among the following compounds that gives positive test with Tollen's reagent. The compound is :

Match the List-I with List-II List-I Amino acid List-II Positive reaction/Test for functional group present in side chain of amino acid A. Glutamine I. Hinsberg's test B. Lysine II. Neutral test C. Ty

' W ' g of a non-volatile electrolyte solid solute of molar mass ' M ' when dissolved in 100 mL water, decreases vapour pressure of water from 640 mm Hg to 600 mm Hg . If aqueous solution of the elect

Arrange the following alkenes in decreasing order of stability.Choose the correct answer from the options given below:

In period 4 of the periodic table, the elements with highest and lowest atomic radii are respectively.

If shortest wavelength of hydrogen atom in Lyman series is x, then longest wavelength in Balmer series of is :[JEE Main 6 Apr 2026 shift 1]

MX is a sparingly soluble salt that follows the given solubility equilibrium at 298 K . If the standard reduction potential for is , then the value of the standard reduction potential for the metal/me

Consider compounds A, B and C with following structural formula For the conversion of B from A , reagent (D) required is _____ and structural formula of product (E) obtained when C undergoes same reac

The energy of first (lowest) Balmer line of H atom is . The energy (in J ) of second Balmer line of H atom is :

Complete the following reaction sequence and give the name of major product 'P'. [JEE Main 5 April 2026 Shift 2]

The number of possible tripeptides formed involving alanine (ala), glycine (gly) and valine (val), where no amino acid has been used more than once is:

The pH and conductance of a weak acid ( HX ) was found to be 5 and , respectively. The conductance was measured under standard condition using a cell where the electrode plates having a surface area o

Which statements are True?A. In Hoffmann bromamide degradation, 4 moles of NaOH and 2 moles of are consumed per mole of an amide.B. Hoffmann bromamide reaction is not given by alkyl amides.C. Primary

A volume of of 5 M NaHCO 3 solution was mixed with 10 mL of solution to make an electrolytic buffer. If the same buffer was used in the following electrochemical cell to record a cell potential of 235

The species having identical radii according to the Bohr's theory are :A. H (first orbit)B. (first orbit)C. (second orbit)D. (first orbit)E. (Second orbit)Choose the correct answer from the options gi

In order to oxidise a mixture of 1 mole each of and in acidic medium, the number of moles of required is :[JEE Main 4 Apr 2026 Shift 1]

Consider the isomers of hydrocarbon with molecular formula . These isomers do not decolourise solution. These isomers are subjected to chlorination with chlorine in presence of light to give monochlor

Consider two Group IV metal ions and . A solution containing and is saturated with . The pH at which the metal sulphide YS will form as a precipitate is . (Nearest integer)(Given: at at in solution

Consider the elements and F . The number of valence electrons present in the elements with most and least metallic character from the above list is respectively.

An electrochemical cell is constructed using half cells in the direction of spontaneous change and Which of the following option is correct?[JEE Main 2 apr 2026 Shift 1]

At of aqueous solution is mixed with 100 g of aqueous solution. What is the mole fraction of in the resultant solution?(Given : Atomic mass ). (Assume that temperature after mixing remains constant)

As compared with chlorocyclohexane, which of the following statements correctly apply to chlorobenzene?A. The magnitude of negative charge is more on chlorine atom. B. The bond has double bond charact

0.25 g of an organic compound "A" containing carbon, hydrogen and oxygen was analysed using the combustion method. There was an increase in mass of tube and potash tube at the end of the experiment. T

Match List - I with List - II.List - IChromium (III) Complexes(en = ethylene diamine)List - II A. I. 15,060B. II. 17,400C. III. 22,300D. IV. 26,600Choose the correct answer from the options given belo

If the enthalpy of sublimation of Li is , enthalpy of dissociation of is , ionization enthalpy of Li is , electron gain enthalpy of F is , standard enthalpy of formation of LiF is . The magnitude of l

Consider the following statements about manganate and permanganate ions. Identify the correct statements. A. The geometry of both manganate and permanganate ions is tetrahedral. B. The oxidation state

Consider a mixture ' X ' which is made by dissolving 0.4 mol of and 0.4 mol of in water to make 4 L of solution. When 2 L of mixture ' ' is allowed to react with excess of , it forms precipitate ' '.

Given below are two statements : Statement I : Hybridisation, shape and spin only magnetic moment of is , octahedral and 4.9 BM respectively. Statement II: Geometry, hybridisation and spin only magnet

20 g hemoglobin in a 1 L aqueous solution (A) at 300 K is separated from pure water by semi permeable membrane. At equilibrium the height of solution in a tube dipped in a solution (A) is found to be

Given below are two statements:Statement I: For an ideal gas, heat capacity at constant volume is always greater than the heat capacity at constant pressure.Statement II: In a constant volume process,

500 mL of 1.2 M KI solution is mixed with 500 mL of solution in basic medium. The liberated iodine was titrated with standard solution in the presence of starch indicator till the blue color disappear

RMgI when treated with ice cold water liberated a gas which occupied 1.4 at STP. The gas produced is further reacted with iodine in presence of to give compound (X). Compound (X) in presence of Na and

The oxidation state of chromium in the final product formed in the reaction between KI and acidified solution is :

Given below are two statements : Statement I : ' ' bond is stronger in than Statement II : The given optically active molecule, hydrolysis gives a solution that can rotate the plane polarized light. I

The strongest conjugate acid will result from[JEE Main 4 Apr 2026 Shift 2]

Consider the following aqueous solutions. I. 2.2 g Glucose in 125 mL of solution. II. 1.9 g Calcium chloride in 250 mL of solution. III. 9.0 g Urea in 500 mL of solution. IV. 20.5 g Aluminium sulphate

Which of the following sets includes all the species that will change the orange colour of in acidic medium?[JEE Main 2 apr 2026 Shift 1]

3, 3-Dimethyl-2-butanol cannot be prepared by : Choose the correct answer from the options given below :

The correct sequence of reagents for the above conversion of to is :

Match the LIST-I with LIST-IIList-IReactionList-IIMechanismA.Williamson SynthesisI.Electrophilic additionB.Friedel Craft ReactionII.Free radical substitutionC.Bromination of vinyl benzeneIII.Nucleophi

The correct statements among the following are :A. Basic vanadium oxide is used in the manufacture of .B. The spin-only magnetic moment value of the transition metal halide employed in ZieglerNatta po

The reaction was initiated with the amount 'a' of . At equilibrium it is found that the amount of remaining is at a total pressure of p.The equilibrium constant of the reaction can be calculated from

A non-volatile, non-electrolyte solid solute when dissolved in 40 g of a solvent, the vapour pressure of the solvent decreased from 760 mm Hg to 750 mm Hg . If the same solution boils at 320 K, then t

For a general redox reaction Anode : Cathode : Which of the following statement is incorrect? [JEE Main 6 Apr 2026 shift 2]

Given below are two statements :Chamber 1Semipermeable membraneChamber 218 g glucose in 100 mL aqueous solution30 g glucose in 250 mL aqueous solutionStatement I: molecules move from the chamber 1 to

Given below are two statements :Statement I: In thecarbocation is stabilised by +R effect of group.Statement II : In thecarbanion is stabilised by -R effect of group.In the light of the above statemen

Consider the following data for the reaction at The for the reaction is: Compound XY(g)42200 8140 80250[JEE Main 5 April 2026 Shift 2]

Match the List-I with List-II List-IElectronic configuration of tetrahedral metal ion List-IICrystal FieldStabilization Energy A. I. -0.6 B. II. -0.8 C. III. -1.2 D. IV. -0.4 Choose the correct answer

Number of paramagnetic ions among the following d- and f-block metal ions is _____ . (Atomic number of )[JEE Main 2 apr 2026 Shift 2]

Given below are two statements :Statement (I) : Oxidising power of halogens decreases in the order , which is the basis of "Layer test".Statement (II): "Layer test" to identify and in aqueous solution

Given below are two statements : Statement I : The dipole moment of R-CN is greater than R-NC and R-NC can undergo hydrolysis under acidic medium to produce . Statement II: R-CN hydrolyses under acidi

Both human DNA and RNA are chiral molecules. The chirality in DNA and RNA arises due to the presence of

Identify the incorrect statement about tertiary structure of proteins.[JEE Main 5 April 2026 Shift 2]

In a closed flask at 600 K, one mole of attains equilibrium as given below: . At equilibrium, was dissociated and the total pressure is 1 atm. The magnitude of (in ) at this temperature is ____. (Near

In the Group analysis of cations, are precipitated respectively as

The correct statements from the following are : A. Ionic radii of trivalent cations of group 13 elements decreases down the group. B. Electronegativity of group 13 elements decreases down the group. C

Among the following oxides of elements, the number of mixed oxides are 。

Dissociation of a gas takes place according to the following chemical reaction. At equilibrium, the total pressure is 1 bar at 300 K . The standard Gibbs energy of formation of the involved substances

Arrange the following resultant mixtures in increasing order of their pH valuesA. B. C. Choose the correct answer from the options given below :[JEE Main 5 Apr 2026 Shift 1]

The wavelength of photon ' ' is 400 nm . The frequency of photon ' ' is . The wave number of photon ' ' is . The correct order of energy of these photons is :

For the thermal decomposition of reactant , the following plot is constructed. The half life of the reaction is ' . min. (Nearest integer)

Match List - I with List - II. List - I Functional group (detection)List - II Change observed during detectionA.Unsaturation (Baeyer's test)I.Red colour appearsB.Alcoholic group (Ceric ammonium nitrat

CORRECT order of stability for the following is

Given above is the concentration vs time plot for a dissociation reaction : . Based on the data of the initial phase of the reaction (initial 10 min ), the value of n is

Given below are two statements :Statement I: On the basis of inductive effect, the order of stability of alkyl carbanions is Statement II : Allyl and benzyl carbanions are more stabilised by inductive

Identify the correct statements from the following:(A) is the most stable complex among and (B) The stability of is greater than that of (C) The hybridization of Fe in is (D) exhibits linkage isomeris

Match the List-I with List-IIList-I Name of reactionList-II Reagent or catalyst usedA.Finkelstein reactionI. B.Swarts reactionII.Na, dry etherC.Sandmeyer’s reactionIII.NaID.Fitting reactionIV. Choose

Given below are two statements :Statement I : The number of pairs among and in which both ions are coloured is 3.Statement II : The number pairs among and ions in which both are diamagnetic is 3.In th

At of 0.2 M weak monoprotic acid HX is titrated against 0.2 M NaOH. The pH of the solution (a) at the start of the titration (when NaOH has not been added) and (b) when 10 mL of NaOH is added respecti

Match the List-I with List-II :List-I Deficiency DiseaseList-II VitaminA.ScurvyI.PyridoxineB.ConvulsionsII.Vitamin AC.CheilosisIII.Ascorbic AcidD.XerophthalmiaIV.RiboflavinChoose the correct answer fr

The correct increasing order of and bonds in terms of covalent bond length is :

A student has been given 0.314 g of an organic compound and asked to estimate Sulphur. During the experiment, the student has obtained 0.4813 g of barium sulphate. The percentage of sulphur present in

Use the following data : Substance 32 222 61 46 280 One mole each of and are taken in a 1 L closed flask and allowed to establish the equilibrium at 500 K . The value of (in kJ mol ) is . (Nearest int

For a closed circuit Daniell cell, which of the following plots is the accurate one at a given temperature?

Identify (P)

n-Butane on monochlorination under photochemical conditions gives an optically active compound “P”. “P” on further chlorination gives dichloro compounds.The number of dichloro compounds obtained (igno

When 0.25 moles of a non-volatile, non-ionizable solute was dissolved in 1 mole of a solvent the vapor pressure of solution was of vapor pressure of pure solvent. What is ?[JEE Main 6 Apr 2026 shift 1

'x' is the product which is obtained by the hydrolysis of prop-1-yne in the presence of mercuric sulphate under dilute acidic medium at 333 K. 'y' is the product which is obtained by the reaction of e

An alkane (Y) requires 8 moles of oxygen for complete combustion and on chlorination with , (Y) gives only one monochlorinated product (Z). The total number of primary carbon atoms in (Y) is ____.[JEE

An organic compound "x" where molar ratio of C, O and H are equal, on treatment with 50[Molar mass of 'x' is 58 ][JEE Main 2 apr 2026 Shift 2]

Match the LIST-I with LIST-II List-I Thermodynamic Process List-II Magnitude in kJ A. Work done in reversible, isothermal expansion of 2 mol of ideal gas from to at 300 K . I. 4 B. Work done in irreve

The major product of which of the following reaction is not obtained by rearrangement reaction?[JEE Main 8 apr 2026 shift 2]

The correct increasing order of spin-only magnetic moment values of the complex ions and is :

From the following, the least stable structure is :

Given below are two statements :Statement-I : Among Zn, Mn, Sc and Cu, the energy required to remove the third valence electron is highest for Zn and lowest for Sc.Statement-II : The correct order of

Given below are two statements: Statement I : Griss-llosvay test is used for the detection of nitrite ion, which involves the use of sulphanilic acid and -naphthylamine reagent. Statement II: In the a

Figure 1. electron probability density for 2 s orbitalFigure 2. wave function for 2s orbital Which of the following point in Figure 2 most accurately represents the nodal surface as shown in Figure 1?

Identify the molecule with maximum number of lone pairs of electrons (obtained using Lewis dot structure) among and . Choose the correct bond angle made by the central atom of the molecule .

Consider the metal complexes and . Choose the CORRECT option by considering the number of unpaired electron present in (A), (B) and (C) respectively and the order of frequency of absorption.[JEE Main

From the given following (A to D) cyclic structures, those which will not react with Tollen's reagent are:

Given below are two statements :Statement (I) : Benzyl chloride reacts faster in mechanism than ethyl chloride.Statement (II) : Ethyl carbocation intermediate is less stabilized by hyperconjugation th

What is the energy (in J atom ) required for the following process? (Take the ionization energy for the H atom in the ground state as atom )[JEE Main 2 apr 2026 Shift 1]

The pH a solution obtained by mixing 5 mL of solution with 250 mL of 0.1 solution is _____ (Nearest integer)Given : [JEE Main 4 Apr 2026 Shift 1]

Consider the general reaction given below at 400 K . The values of and are studied under the same condition of temperature but variation in and . (i) and appropriate units(ii) and appropriate units Th

For strong electrolyte increases slowly with dilution and can be represented by the equation Molar conductivity values of the solutions of strong electrolyte AB at are given below : 0.04 0.09 0.16 0.2

At in presence of a catalyst, activation energy of a reaction is lowered by . The logarithm of ratio of is.... (Consider that the frequency factor for both the reactions is same)

Find out the statements which are not true. A. Resonating structures with more number of covalent bonds and lesser charge separation are more stable. B. In electromeric effect, an unsaturated system s

How many grams of residue is obtained by heating 2.76 g of silver carbonate?(Given : Molar mass of C, O and Ag are 12, 16 and respectively)[JEE Main 5 Apr 2026 Shift 1]

Consider the above electrochemical cell where a metal electrode ( ) is undergoing redox reaction by forming . The cation is present in two different concentrations and as shown above. Which of the fol

Identify the correct pair having amino acid (A) and the hormone (B) that is iodinated derivative of the amino acid (A).(T and Y represent one letter code for amino acids)[JEE Main 2 apr 2026 Shift 2]

One mole of an alkane (x) requires 8 mole oxygen for complete combustion. Sum of number of carbon and hydrogen atoms in the alkane (x) is _____.[JEE Main 2 apr 2026 Shift 1]

The work functions of two metals ( and ) are in the ratio. When these metals are exposed to photons of energy 6 eV , the kinetic energy of liberated electrons of is in the ratio of . The work function

An excess of is added to 100 mL of a 0.05 M solution of tetraaquadichloridochromium (III) chloride. The number of moles of AgCl precipitated will be _____ . (Nearest integer)[JEE Main 6 Apr 2026 shift

Given below are two statements : Statement I : is more stable than as nine hyperconjugation interactions are possible in . Statement II: is less stable than as only three hyperconjugation interactions

Given below are two statements : Statement I : Among and has the maximum number of unpaired electrons. Statement II : The number of pairs among and that contain only diamagnetic species is two. In the

If the half life of a first order reaction is 6.93 minutes then the time required for completion of 99(Given : )[JEE Main 5 Apr 2026 Shift 1]

Consider the reaction at 300 K. If and K are and at the same temperature, then the magnitude of for the reaction in is _____.(Nearest Integer).(Given : )[JEE Main 6 Apr 2026 shift 1]

Which one of the following graphs accurately represents the plot of partial pressure of vs its mole fraction in a mixture of acetone and at constant temperature?

Consider the given graph showing variation of reactant concentration with time.Three different reactions were started with identical initial concentration of reactants. Which of the following statemen

Identify correct statements from the following : A. Propanal and propanone are functional isomers. B. Ethoxyethane and methoxypropane are metamers. C. But-2-ene shows optical isomerism. D. But-1-ene a

Arrange the following compounds according to increasing order of boiling points. and .[JEE Main 6 Apr 2026 shift 1]

One half cell in a voltaic cell is constructed by dipping silver rod in solution of unknown concentration, other half cell is Zn rod dipped in 1 molar solution of .A voltage of 1.60 V is measured at 2

The wave numbers of three spectral lines of H atom are considered. Identify the set of spectral lines belonging to Balmer series. (R = Rydberg constant)

Gas 'A' undergoes change from state 'X' to state 'Y'. In this process, the heat absorbed and work done by the gas is 10 J and 18 J respectively. Now gas is brought back to state 'X' by another process

The correct order of the rate of reaction of the following reactants with nucleophile by mechanism is : (Given : Structures I and II are rigid)

Two positively charged particles and have been accelerated across the same potential difference of 200 keV as shown below. [Given mass of amu and amu]The deBroglie wavelength of will be times of . The

First and second ionization enthalpies of lithium are and respectively. Energy required to convert 3.5 mg lithium (g) into is ______ . (nearest integer)[Molar mass of ][JEE Main 6 Apr 2026 shift 1]

The compound reacts with acetophenone to form a single product via cross-Aldol condensation. The compound A on reaction with conc. NaOH forms a substituted benzyl alcohol as one of the two products. T

Given below are two statements : Statement I: The second ionisation enthalpy of Na is larger than the corresponding ionisation enthalpy of Mg Statement II: The ionic radius of is larger than that of .

Consider the following reaction sequence develops characteristic colour with neutral solution. Identify the INCORRECT statement from the following for the above sequence.

Choose the INCORRECT statement

, in acidic medium, disproportionates to :

Consider the following sequence of reactions The major product P is:[JEE Main 6 Apr 2026 shift 1]

The energy required by electrons, present in the first Bohr orbit of hydrogen atom to be excited to second Bohr orbit is Jmol . Given: .

Compound ' P ' undergoes the following sequence of reactions : P' is :

Match the LIST-I with LIST-II :List-IName of amino acidList-IIOne letter symbol/type)AArginineI.D / Non-essentialBAspartic acidII.R / EssentialCLysineIII.E / Non-essentialDGlutamic acidIV.K/EssentialC

Regarding the hydrides of group 15 elements , select the correct statement from the following : A. The stability of hydrides decreases down the group. B. The basicity of hydrides decreases down the gr

The heat of atomisation of methane and ethane are and respectively. The longest wavelength ( ) of light capable of breaking the bond can be expressed in SI unit as :

What volume of hydrogen gas at STP would be liberated by action of 50 mL of of 50Given : Molar mass of H, O, S, Zn are 1, 16, 32, 65 respectively.[JEE Main 5 April 2026 Shift 2]

The wavelength of spectral line obtained in the spectrum of ion, when the transition takes place between two levels whose sum is 4 and difference is 2 , is

Given below are two statements : Statement I : Benzene is nitrated to give nitrobenzene, which on further treatment with will give Statement II: group is a -directing, and deactivating group. In the l

Given below are two statements:Statement I: Sodium dichromate and potassium dichromate are classified as primary standards in titrimetric analysis.Statement II: Phenolphthalein is a weak base, therefo

Decomposition of A is a first order reaction at and is given by . In a closed 1 L vessel, 1 bar is allowed to decompose at . After 100 minutes, the total pressure was 1.5 bar. What is the rate constan

Consider the following two reactions A and B . Numerical value of [molar mass of molar mass of ] is

The mass of benzanilide obtained from the benzoylation reaction of 5.8 g of aniline, if yield of product is , is g (nearest integer). (Given molar mass in )

Given at Volt The in Volt at 298 K is given by :[JEE Main 8 apr 2026 shift 2]

Consider and are two reactions. If the rate constant of the reaction can be expressed by the following equation and activation energy of reaction is th of the reaction , then the value of is ____ . (N

An optically active alkyl bromide , reacts with ethanolic KOH to form major compound [A] which reacts with bromine to give compound [B]. Compound [B] reacts with ethanolic KOH and sodamide to give com

A paper dipped in a dil. solution of 'X' upon treatment with gas turns into green. The compound 'X' is :[JEE Main 5 April 2026 Shift 2]

The correct order of reactivity of in methanol with the following nucleophiles is and

Given below are two statements : Statement I : Sucrose is dextrorotatory. However, sucrose upon hydrolysis gives a solution having mixture of products. This solution shows laevorotation. Statement II:

For a reaction A ⟶ P at T K, the half life is plotted as a function of initial concentration of A as given below :The value of x in the given figure is _____ s. (Nearest integer)[JEE Main 5 April 2026

Total number of alkali insoluble solid sulphonamides obtained by reaction of given amines with Hinsberg's reagent is . Aniline, N-Methylaniline, Methanamine, N,N-Dimethylmethanamine, N-Methyl methanam

Match List-I with List-IIGiven and are initial and final volumes respectively:List-I (Isothermal process)List-II (Expression)A.Reversible expansionI.q = 0B.Free expansionII. C.Irreversible Compression

The number of compounds from the following which can undergo reaction with /(alcoholic) to give respective products and these respective products can also be obtained separately by Gabriel phthalimide

The solubility product constants of and AgBr are 32x and 4y respectively at 298 K.The value of can be expressed as :[JEE Main 2 apr 2026 Shift 1]

Arrange these compounds in the increasing order of reactivity with nitrating mixture.

Statement-I : The structure of Maltose is given below Maltose is a non-reducing sugarStatement-II : The structure of Lactose is given below Lactose is a reducing sugarIn the light of the above stateme

Given below are two statements for catalytic properties of transition metals :Statement I : First row transition metals which act as catalyst utilise their 3d electrons only for formation of bonds bet

Given below are two statements : Statement I: The number of species among and , that have tetrahedral geometry is 3 . Statement II : In the set [ ], all the molecules have incomplete octet around cent

Consider the following electrochemical cell : The pH above which, oxygen gas would start to evolve at anode is (nearest integer).

In a period, the first ionisation enthalpy of the element at extreme left and the negative electron gain enthalpy of the extreme right element, except noble gases, are respectively.[JEE Main 6 Apr 202

An organic compound on treatment with aqueous ammonia under hot condition forms compound which on heating with and KOH forms compound having molecular formula . Names of and R respectively are.

For the following Friedel Craft's alkylation reaction, which of the statements are correct ?A. Major product is n-propyl benzene.B. iso-propyl carbocation intermediate is also generatedC. Multiple sub

Given below are two statements :Statement I : Each electron in orbitals destabilizes the orbitals by and each electron in the orbitals stabilizes the orbitals by in an octahedral field on the basis of

Consider the three aromatic molecules (P, Q and R) whose structures have been given below : The correct order regarding the reactivity of these compounds with under optimum but slightly acidic medium

A hydrocarbon ' P ' ( ) on reaction with HCl gives an optically active compound ' Q ' ( ) which on reaction with one mole of ammonia gives compound ' . ' on diazotization followed by hydrolysis gives

One mole of phenol is treated with dilute at 298 K to give a mixture of products. The mixture is separated by steam distillation. The seam volatile compound (X) is separated. The increase in percentag

Given below are two statements : Statement I: The correct order in terms of bond dissociation enthalpy is . Statement II : The correct trend in the covalent character of the metal halides is [ ], [ ]

A substance ' ' dissolved in 150 g of a solvent ' ' (molar mass ) led to an elevation of the boiling point by 0.5 K . The relative lowering in the vapour pressure of the solvent ' ' is . (nearest inte

Consider the following gas phase reaction being carried out in a closed vessel at . The pressure of C(g) at 30 minutes time interval would be _________mm Hg. (Nearest integer)[JEE Main 2 apr 2026 Shif

Given below are the four isomeric compounds Identify correct statements from below. A. and will give precipitate with 2, 4-DNP. B. and will give positive Bayer's test. C. and will give sooty flame. D.

The correct order of total number of atoms of present in(A) 2 moles of cyclohexane(B) 684 g of sucrose(C) 90.8 L of dihydrogen at STP[JEE Main 4 Apr 2026 Shift 2]

For a first order reaction t/min[A]/M00.6500x0.0650200.00065x = ______ min. (Nearest integer)[JEE Main 4 Apr 2026 Shift 2]

Given below are two statements : Statement 1 : There are several conformers for n -butane. Out of those conformers,is the least stable and most stable conformer isStatement II: As the dihedral angle i

IUPAC name of the some alkenes are given below :Find out the correct stability order.A. 2-Methylbut-2-eneB. cis-But-2-eneC. 2,3-Dimethylbut-2-eneD. Prop-1-eneChoose the correct answer from the options

Consider the following data(i) .(ii) .(iii) (iv) The enthalpy of formation of anhydrous solid is :[JEE Main 2 apr 2026 Shift 1]

According to Lewis theory, the total number of σ bond-pairs and lone pair of electrons around the central atom of ion is _____.[JEE Main 4 Apr 2026 Shift 1]

Given below are two statements :Statement-I : and are two anomers of D-(+)-glucose.Statement-II : The open chain forms of D-glucose and D-fructose contain three similar chiral carbons at and .In the l

Identify compounds A and E in the following reaction sequence.[JEE Main 2 apr 2026 Shift 2]

At T(K), the equilibrium constant of is .What is the equilibrium constant for at the same temperature?[JEE Main 4 Apr 2026 Shift 1]

Consider the following reactions giving major product. Identify the correct reaction.

Given below are two statements :Statement-I : The number of pairs among that contain oxides of same nature (acidic, basic, neutral or amphoteric) is 4.Statement-II : Among and the most basic and acidi

The correct order of the rate of the reaction for the following reaction with respect to nucleophiles is :

The number of isoelectronic species among and is ' n '. If ' n ' moles of AgCl is formed during the reaction of complex with formula with excess of solution, then the number of electrons present in th

Match the LIST-I with LIST-II List-I Isothermal process for ideal gas system List-II Work done A. Reversible expansion I. B. Free expansion II. C. Irreversible expansion III. D. Irreversible compressi

Statement I : Compound , shown below, dissolves in solution and has two chiral carbon atomsStatement II: Compound , shown below, has two carbons with hybridization, one carbon with and one carbon with

At aqueous solution and aqueous solution are placed in a container separated by a semi permeable membrane AB . Assume complete dissociation of both the solutes. Which of the following statement is cor

From the following, how many compounds contain at least one secondary alcohol? Choose the correct answer from the options given below :

Given below are two statements for the following reaction sequence. Statement I: Compound ' ' will give yellow precipitate with NaOI . Statement II : Compound ' Q ' has two different types of ' H ' at

Complete combustion of X g of an organic compound gave 0.25 g of and 0.12 g of . If the (Molar mass of C, H and O are 12, 1 and respectively.)[JEE Main 2 apr 2026 Shift 2]

Identify the correct statements: A. Hydrated salts can be used as primary standard. B. Primary standard should not undergo any reaction with air. C. Reactions of primary standard with another substanc

Consider the following sequence of reactions. (X) Yellow Product. The percentage of nitrogen in the yellow product (X) formed is ______ (Nearest Integer)(Given Molar mass in )[JEE Main 6 Apr 2026 shif

Consider all the structural isomers with molecular formula are separately treated with to give respective substitution products, without any rearrangement. The number of products which can exhibit opt

Given below are two statements :Statement I: is the correct trend in terms of bond angle.Statement II : and are ionic in nature.In the light of the above statements, choose the correct answer from the

A salt with few drops of conc. HCl gives apple green colour in flame test. The group precipitate of the salt is dissolved in acetic acid and treated with to give yellow precipitate. When the sodium ca

Given below are two statements : Statement I : The number of species among and , that have unequal bond lengths is two. Here, E is the central atom. Statement II : Among and has the highest bond order

In Carius method 0.2425 g of an organic compound gave 0.5253 g silver chloride. The percentage of chlorine in the organic compound is

Match List - I with List - II.List - 1 Pair of CompoundsList - II Type of IsomersA. 2-Methylpropene and but-1-eneI. StereoisomersB. Cis-but-2-ene and trans-but-2-eneII. Position isomersC. 2-Butanol an

Match List-I with List-II.List-I (Purification technique)List-II(Used to separate)A.Simple distillationI.Steam volatile compoundB.Fractional distillationII.Two liquids with large difference in boiling

The dibromo compound (molecular formula: ) when heated with excess sodamide followed by treatment with dilute HCl gives [ Q ]. On warming [Q] with mercuric sulphate and dilute sulphuric acid yield whi

The crystal field splitting energy of complex is ' ' times that of the complex. Here ' ' is . (Assume )

200 cc of potassium dichromate is required to oxidise 750 cc of 0.6 M Mohr's salt solution in acidic medium. Here .

Which of the following is correct set of 4 quantum number of electron in Chromium (Atomic number = 24) in accordance with Aufbau principle?[JEE Main 4 Apr 2026 Shift 1]

If 3.365 g of ethanol (l) burnt completely in a bomb calorimeter at 298.15 K, the heat produced is 99.472 kJ. The of ethanol at 298.15 K is_____ . (Nearest integer)Given : Standard enthalpy of combust

Electricity is passed through an acidic solution of till all the was exhausted, leading to the deposition of 300 mg of Cu metal. However, a current of 600 mA was continued to pass through the same sol

product (First order reaction). Three sets of experiment were performed for a reaction under similar experimental conditions: Run of 10 M solution of reactant A Run of 10 M solution of reactant A Run

Given below are some of the statements about Mn and . Identify the correct statements. A. Mn forms the oxide , in which Mn is in its highest oxidation state. B. Oxygen stabilizes the Mn in higher oxid

A molecule (X) with following structure under mild acidic condition is hydrolysed to produce (Y) and (Z).Identify the correct statements about (Y) and (Z).(A) Both (Y) and (Z) have same molar mass.(B)

It is noticed that is more stable than but is less stable than . Observe the following reactions. Identify the correct set from the following

and are the number of electrons involved, respectively during the oxidation of to and to by acidified . The value of is

List-I Chloro derivative List-II Example A. Vinyl Chloride I. B. Benzyl Chloride II. C. Alkyl Chloride III. D. Allyl Chloride IV. Choose the correct answer from the options given below :

Match the LIST-I with LIST-IIList - ICompoundList -IITestA.I.Hinsberg's reagent testB.II.Phthalein dye testC.III.Lucas testD.IV.Tollen's testChoose the correct answer from the options given below :[JE

Treatment of a gas 'X' with a freshly prepared ferrous sulphate solution gives a compound 'Y' as a brown ring. The compounds X and Y are.[JEE Main 6 Apr 2026 shift 2]

At 298 K , the molar conductivity of MX solution (aqueous) is . The conductance of same solution is . The value of x is ____ .(Given : cell constant ; molar mass of MX is , density of aqueous solution

The ionization enthalpy for Mg is . The most probable estimated value of the ionization enthalpy of Mg is ____.[JEE Main 4 Apr 2026 Shift 2]

4.7 g of phenol is heated with Zn to give product X. If this reaction goes to 60_______ (Nearest Integer)(Given molar mass in )[JEE Main 6 Apr 2026 shift 1]

Consider the following organic reaction sequence. Choose the final product (X) from the following (consider the major product in all intermediate reactions) [JEE Main 6 Apr 2026 shift 2]

In Carius method, 0.75 g of an organic compound gave 1.2 g of barium sulphate, find percentage of sulphur (molar mass ). Molar mass of barium sulphate is .

Given below are two statements : Statement I : Crystal Field Stabilization Energy (CFSE) of is greater than that of . Statement II: Potassium ferricyanide has a greater spin-only magnetic moment than

Consider a solution of dissolved in water in a closed container. Which one of the following plots correctly represents variation of (partial pressure of in vapour phase above water) [y-axis] with (mol

Which of the following sequence of hybridisation, geometry and magnetic nature are correct for the given coordination compounds ?A. , tetrahedral, paramagneticB. , octahedral, paramagneticC. , tetrahe

Consider the following reaction. (P)The major product (P) formed is:[JEE Main 8 apr 2026 shift 2]

Pre-exponential factors of two different reactions of same order are identical. Let activation energy of first reaction exceeds the activation energy of second reaction by . If and are the rate consta

In IUPAC nomenclature, the correct order of decreasing priority of functional group is :[JEE Main 2 apr 2026 Shift 1]

Two p-block elements and form fluorides of the type . The fluoride compound is a Lewis acid and is a Lewis base. The hybridizations of the central atoms of and respectively are

A 'p'-block element and hydrogen form a binary cation , while on treatment with in alkaline medium gives a precipitate of basic mercury(II)amido-iodine. Given below are first ionisation enthalpy value

Given below are two statements :Given : Molar mass of are 12, 1, 16 and , respectively.Statement I: In solution of methanol in (at T K), the mole fraction of is equal to 0.33 .Statement II : Mixture o

value for 2-methylpropene in a solvent system (Ethyl acetate + ether) is 0.42 . 2-methylpropene is treated with dilute to give major organic product (X). value for (X) in the same solvent system under

A cup of water at (system) is placed in a microwave oven and the oven is turned on for one minute during which the water begins to boil. Which of the following option is true?

Arrange the following carbanions in the decreasing order of stability. Choose the correct answer from the options given below :

Given below are two statements : Statement I: The correct order in terms of atomic/ionic radii is . Statement II: The correct order in terms of the magnitude of electron gain enthalpy is . In the ligh

is the time required for the 100[JEE Main 2 apr 2026 Shift 1]

Which of the following mixture gives a buffer solution with ?Given :

Consider the following sequence of reactions to give the major product (X) . P g of the major product (X) formed is reacted with soluion to liberate a gas which occupied at STP. (Given molar mass in )

The reactions which produce alcohol as the product are: A. B. C. D. E. Choose the correct answer from the options given below :

Consider the following two half-cell reactions along with the standard reduction potential given : The fuel cell was set up using the above two reactions such that the cell operates under the standard

Consider the following reactions in which all the reactants and products are present in gasesous state The value of for the equilibrium is :[JEE Main 8 apr 2026 shift 2]

Arrange the following isothermal processes in order of the magnitude of the work (p-V) involved between states 1 and 2.A. Expansion in single stage B. Expansion in multi stages C. Compression in singl

The IUPAC name of the following compound is:

'x' is the product which is obtained from benzene by reacting it with carbon monoxide and hydrogen chloride in the presence of cuprous chloride. 'y' is the major product obtained from the benzene by r

Given below are two statements : Statement I: Sublimation is used for the separation and purification of compounds with low melting point. Statement II: The boiling point of a liquid increases as the

The formal charges on the atoms marked as (1) to (4) in the Lewis representation of molecule respectively are

The mass of iron converted into by the action of 18 g of steam is :(Given : Molar mass of H, O and Fe are 1, 16 and respectively)Assume iron is present in excess :[JEE Main 2 apr 2026 Shift 1]

. Consider the above reaction A. The reaction proceeds through a more stable radical intermediate. B. The role of peroxide is to generate (Hydrogen radical). C. During this reaction, benzene is formed

of an ideal gas ' X ' at 600 K and 0.5 MPa undergoes isothermal reversible expansion until pressure of the gas is 0.2 MPa . Which of the following option is correct?(Given: and )

is a sparingly soluble salt of molar mass y and solubility . The ratio of the molar concentration of the anion ( ) to the solubility product of the salt is[JEE Main 5 Apr 2026 Shift 1]

Given below are two statements : Statement I: is the correct order in terms of metallic character. Statement II : Atomic radius is always greater than the ionic radius for any element. In the light of

Method used for separation of mixture of products ( and ) obtained in the following reaction is

Consider the following reaction : The product Y formed is :

The correct set that contains all kinds (basic, acidic, amphoteric and neutral) of oxides is :[JEE Main 2 apr 2026 Shift 2]

' ' is the product which is obtained from propanenitrile and stannous chloride in the presence of hydrochloric acid followed by hydrolysis. ' ' is the product which is obtained from the but-2-ene by t

5.33 g of , which is a 1: 3 electrolyte, is dissolved in water and is passed through a cation exchanger. The chloride ions in the eluted solution, on treatment with , results in 8.61 g of AgCl . The r

The total number of aromatic compounds/species from the following is[JEE Main 8 apr 2026 shift 2]

Number of paramagnetic complexes among the following is ______. [JEE Main 8 apr 2026 shift 2]

Given below are two statements :Statement-I : 3-phenylpropene reacts with HBr and gives secondary alkyl bromide having a chiral carbon atom as the major product.Statement-II : Aryl chlorides and aryl

Consider the reaction , for which the rate constant at is . Which of the following statements are true ?A. When concentration of ' X ' is increased to four times, the rate of reaction becomes 16 times

Given below are two statements :Statement-I : The second ionization enthalpy of and Ga is in the order of .Statement-II : The correct order in terms of first ionization enthalpy is .In the light of th

What is the mole fraction of water in 10 [Given : Molar mass of H, O, V and N are 1, 16, 12 and respectively][JEE Main 5 Apr 2026 Shift 1]

Given below are two statements : Statement 1: The number of pairs, from the following, in which both the ions are coloured in aqueous solution is 3. Statement II : is the strongest reducing agent amon

Sucrose hydrolyses in acidic medium into glucose and fructose by first order rate law with hour. The percentage of sucrose remaining after 6 hours is ______. (Nearest integer)(Given : and )[JEE Main 6

A monoatomic anion has 45 neutrons and 36 electrons. Atomic mass, group in the periodic table and physical state at room temperature of the element (A) respectively are :[JEE Main 4 Apr 2026 Shift 1]

Given below are two statements :Statement-I : Due to increase in van der Waals forces, the order of boiling points is .Statement-II : As is more symmetric, its melting point is higher than , however i

Increasing order of electron withdrawing power of following functional groups isa. -CNb. -COOHc. d. -I[JEE Main 4 Apr 2026 Shift 1]

Given below are two statements : Statement I : C is the correct order in terms of first ionization enthalpy values. Statement II: is the correct order in terms of the magnitude of electron gain enthal

The ratio of mass percentage (w/w) of C : H in a hydrocarbon is 12 : 1. It has two carbon atoms. The weight (in g) of formed when 3.38 g of this hydrocarbon is completely burnt in oxygen is :(Given :

Shown below is the structure of methyl acetate with three different α, β and γ carbon-oxygen bonds. The correct order of bond length of these bonds is :[JEE Main 6 Apr 2026 shift 2]

Given below are four compounds : (a) n-propyl chloride(b) iso-propyl chloride(c) sec-butyl chloride(d) neo-pentyl chloride Percentage of carbon in the one which exhibits optical isomerism is :

Which of the following contain the same number of atoms?(Given : Molar mass in of and S are 1, 4, 16 and 32 respectively)A. 2g of gasB. 4 g fo gasC. 1400 mL of at STPD. 0.05 L of He at STPE. of gasCho

Sodium fusion extract of an organic compound with and chlorine water gives violet color to the layer. 0.15 g of gave 0.12 g of the silver halide precipitate in Carius method. Percentage of halogen in

Arrange the following atomic orbitals of multi electron atoms in order of increasing energy.(A) (B) (C) (D) (E) Choose the correct answer from the options given below :[JEE Main 5 Apr 2026 Shift 1]

Consider the following redox reaction taking place in acidic medium If the Nernst equation for the above balanced reaction is then the value of is .(Nearest integer)

Match the List-I with List-II List-IComplex ion List-IICalculated spin onlymagnetic moment (BM) A. I. 3.87 B. II. 5.92 C. III. 4.90 D. IV. 1.73 Choose the correct answer from the options given below:[

Identify the metal ions among and having a spin-only magnetic moment value more than 3.0 BM . The sum of unpaired electrons present in the high spin octahedral complexes formed by those metal ions is

Consider the transition metal ions and and all form low spin octahedral complexes. The correct decreasing order of unpaired electrons in their respective d-orbitals of the complexes is

A student has planned to prepare acetanilide from aniline using acetic anhydride. The student has started from 9.3 g of aniline. However, the student has managed to obtain 11 g of dry acetanilide. The

In an estimation of sulphur by Carius method 0.2 g of the substance gave 0.6 g of . The percentage of sulphur in the substance is _____(Given molar mass in )[JEE Main 5 Apr 2026 Shift 1]

The covalent radii of atoms A and B are and , respectively. The covalent bond length and total length of AB molecule are respectively :[JEE Main 5 April 2026 Shift 2]

Solution A is prepared by dissolving 1 g of a protein (molar mass in 0.5 L of water at 300 K. Its osmotic pressure is x bar. Solution B is made by dissolving 2 g of same protein in 1 L of water at 300

In the given pentapeptide, find out an essential amino acid and the sequence present in the pentapeptide : Choose the correct answer from the options given below :

Observe the following reactions at . I. products. II. Both the reactions are started at 10.00 am . The rates of these reactions at 10.10 am are same. The value of at 10.10 am is . The concentration of

Consider the following reactions sequence Major Product (P)When the product (P) is subjected to Carius analysis using of the product (P) will produce ______ g of the precipitate of AgBr.(Nearest inter

Which of the following reaction is NOT correctly represented?

Consider the following electrochemical cell at 298 K . If the reaction quotient at a given time is , then the cell EMF is (Nearest integer). Given the standard half-cell reduction potential as

A hydroxy compound with molar mass is acetylated with acetic anhydride, using a large excess of the reagent ensuring complete acetylation of all hydroxyl groups. The product obtained has a molar mass

The unsaturated ether on acidic hydrolysis produces carbonyl compounds as shown below :- Based on this, predict the solution/reagent that will help to distinguish " P " and " Q " obtained in the follo

36.0 g of ' (Molar mass : ) and 56.0 g of ' B ' (Molar mass : are allowed to react. Which of the following statements are correct?A. 'A' is the limiting reagent. B. 77.0 g of is formed. C. Molar mass

At moles of liquid and 3 moles of liquid are mixed. The vapour pressure of ideal solution formed is 320 mm Hg . At this stage, one mole of and one mole of are added to the solution. The vapour pressur

When 1 g of compound is subjected to Kjeldahl's method for estimation of nitrogen, was neutralized by ammonia evolved. The percentage of nitrogen in compound is :

The correct stability order of the following diazonium salts is

The descending order of acidity among the following compounds isChoose the correct answer from the option given below options[JEE Main 4 Apr 2026 Shift 2]

Match List - I with List - II. List-I ReagentsList - II Reaction Name (Involving aldehydes)A. B. C. D. , Anhyd. I. Etard Reaction II. Rosenmund Reduction III. Gattermann-Koch Reaction IV. Stephen Reac

The osmotic pressure of a living cell is 12 atm at 300 K . The strength of sodium chloride solution that is isotonic with the living cell at this temperature is g . (Nearest integer)Given : Assume com

The electronegativity of a group 13 element 'E' is same as that of Ge (on Pauling scale and upto one decimal point).The CORRECT statements about areA. It can act as a reducing agent.B. It can act as a

Elements P and Q form two types of non-volatile, non-ionizable compounds PQ and . When 1 g of is dissolved in 50 g of solvent ' was 1.176 K while when 1 g of is dissolved in 50 g of solvent ' was 0.68

19.5 g of fluoro acetic acid (molar mass ) is dissolved in 500 g of water at 298 K. The depression in the freezing point of water was .What is of fluoro acetic acid ?(For water, . Assume molarity and

Given below are two statements : Statement I: Cross aldol condensation between two different aldehydes will always produce four different products. Statement II: When semicarbazide reacts with a mixtu

The wavelength of light absorbed for the following complexes are in the order (I) (I|) (III) (IV) (V)

Given below are two statements: Statement I: The Henry's law constant is constant with respect to variations in solution's concentration over the range for which the solution is ideally dilute. Statem

Correct statements regarding Arrhenius equation among the following are: A. Factor corresponds to fraction of molecules having kinetic energy less than Ea. B. At a given temperature, lower the Ea, fas

The cyclic cations having the same number of hyperconjugation are : Choose the correct answer from the options given below :

Statement-I : Heating benzamide with bromine in an ethanolic solution of sodium hydroxide will give benzylamine.Statement-II : Nitration of aniline with at 288 K produces m-nitroaniline in higher amou

Given,( A) (B ) The maximum number of electron(s) in an atom that can have the quantum numbers as given in (A ) and (B ) respectively are :

and are added to a 1 L flask and it is found that the system attains the above equilibrium at with the number of moles of and being 3,3 and 9 mol respectively (equilibrium moles). Under this condition

An oxide of iron contains 69.9(Given : Molar mass of Fe and O are 56 and respectively.)[JEE Main 6 Apr 2026 shift 1]

A solution is prepared by dissolving 0.3 g of a non-volatile non-electrolyte solute ' A ' of molar mass and 0.9 g of a non-volatile non-electrolyte solute ' B ' of molar mass in at . Osmotic pressure

But-2-yne and hydrogen (one mole each) are separately treated with (i) and (ii) liq. to give the products X and Y respectively. Identify the incorrect statements. A. X and Y are stereoisomers. B. Dipo

At the transition temperature and where A and B are two states of substance X. The transition temperature in when pressure is 1 atm is _____ . (Nearest integer)[JEE Main 2 apr 2026 Shift 1]

The statements that are incorrect about the nickel(II) complex of dimethylglyoxime are : A. It is red in colour. B. It has a high solubility in water at . C. The Ni ion has two unpaired d-electrons. D

Given below are two statements : Statement I: When an electric discharge is passed through gaseous hydrogen, the hydrogen molecules dissociate and the energetically excited hydrogen atoms produce elec

Solid carbon, CaO and are mixed and allowed to attain equilibrium at K. The partial pressure of CO is _____ .[JEE Main 8 apr 2026 shift 2]

At 298 K , the mole percentage of in air is . Water is in equilibrium with air at a pressure of 10 atm . What is the mole fraction of in water at 298 K ? ( for is )

Match the List-I with List-II :List-IList-IIA.2sI.1 Radial node + two nodal planesB.3sII.1 Radial node + one nodal planeC.3pIII.2 Radial nodes + No nodal planeD.4dIV.1 Radial node + No nodal planeChoo

A first row transition metal does not liberate gas from dilute HCl .1 mol of aqueous solution of is treated with excess of aqueous KCN and then is passed through the solution. The amount of MS (metal

By usual analysis, 1.00 g of compound gave 1.79 g of magnesium pyrophosphate. The percentage of phosphorus in compound is : (nearest integer) (Given, molar mass in )

“P” is hydrocarbon of molecular formula : . On ozonolysis, “P” forms “Q”. “Q” on treatment with alkali under reflux condition produces. “R”, which on treatment with /NaOH gives a yellow precipitate. A

In sulphur estimation, of an organic compound (X) (molar mass ) gave 0.4813 g of barium sulphate (molar mass ). The percentage of sulphur in the compound (X) is _____ . (Nearest integer).[JEE Main 4 A

Which of the following is NOT a physical or chemical characteristics of interstitial compounds?[JEE Main 5 Apr 2026 Shift 1]

Identify the colour of compound 'X' in the sequence of the reaction.[JEE Main 4 Apr 2026 Shift 1]

Given below are two statementsStatement (I) : 1,2,3-Trihydroxypropane can be separated from water by simple distillation.Statement (II) : An azeotropic mixture cannot be separated by fractional distil

Consider the above sequence of reactions. The number of bromine atom( ) in the final product ( ) will be :

Two liquids and form an ideal solution. At 320 K , the vapour pressure of the solution, containing 3 mol of and 1 mol of is 500 mm Hg . At the same temperature, if 1 mol of A is further added to this

Correct statements from the following areA. Potassium dichromate is an oxidising agent and it oxidises to in acidic medium.B. Sodium dichromate can be used as primary standard in volumetric estimation

Correct statements from the following are :A. Nitrogen in oxidation states from +1 to +4 disproportionates in acid medium.B. Nitrogen has the ability of form multiple bonds with itself and other eleme

Which of the following graphs between pressure ' ' versus volume ' ' represents the maximum work done?

Bromine trifluoride autoionizes to form and . The shapes of the cation and anion are respectively ______ , and _____ .[JEE Main 8 apr 2026 shift 2]

The correct statement among the following is:

In the reaction,

Match List-I with List-II.List-I Mixture of CompoundsList-II Reagent used to distinguishA. Diethyl amine + Ethyl amineI. Bromine waterB. Acetaldehyde + AcetoneII. C. Ethanol + PhenolIII. Neutral D. Be

Grignard reagent reacts with water and forms a gas . One gram of Q occupies at STP. (P) on reaction with dry ice in dry ether followed by forms a compound (Z). 0.1 mole of (Z) will weigh g. (Nearest i

Given below are two statements :Statement (I) : The first ionisation enthalpy of the elements and Ar follows the order Statement (II) : Among and B , the third ionisation enthalpy is very high for Ca.

The plot of vs gives a straight line. The intercept and slope respectively are (where K is equilibrium constant).

Given below are two statements :Statement (I) : The correct sequence of bond lengths in the following species is : Statement (II) : The correct sequence of number of unpaired electrons in the followin

Consider | x | is the difference in oxidation states of Mn in highest manganese fluoride and highest manganese oxide. The ions with | x | number of unpaired electrons from the following are:A. B. C. D

Among and , identify the molecule with lowest dipole moment value. The number of lone pairs of electrons present on the central atom of the molecule is :

Identify the CORRECT set of details from the following : A. : Inner orbital complex; hybridized B. Outer orbital complex; hybridized C. Outer orbital complex; hybridized D. Outer orbital complex; hybr

Among the following, the CORRECT combinations are A. -shaped B. Square pyramidal C. Pentagonal bipyramidal D. Square planar Choose the correct answer from the options given below:

The correct trend in the first ionization enthalpies of the elements in the period of periodic table is :

The correct order of acidic strength of the major products formed in the given reactions, is : A. B. C. D. Choose the correct answer from the options given below :

Consider the following molecules/species:The correct order of carbon – oxygen double bond length is:[JEE Main 4 Apr 2026 Shift 2]

Aqueous HCl reacts with to form , and . What is the weight (in g ) of liberated when 8.7 g of is reacted with excess aqueous HCl solution? (Given Molar mass in )

Identify the correct statementsA. Glucose exist in two anomeric forms.B. Anomers of glucose differ in configuration at C -1 in cyclic hemiacetal structure.C. Melting point of α-anomer of glucose is gr

Consider the following data : Entalpy of sublimation of graphite Dissociation enthalpy of The bond enthalpy of bond is given by :

First order gas phase reaction initial pressure of gas A, total pressure of the reaction mixture at time tExpression of rate constant (k) is[JEE Main 5 Apr 2026 Shift 1]

The correct order of molar heat capacities measured at 298 K and 1 bar is :[JEE Main 5 April 2026 Shift 2]

Which of the following are true about the energy of the given d-orbitals of a tetrahedral complex ?A. B. C. D. Choose the correct answer from the options given below :[JEE Main 6 Apr 2026 shift 1]

For the following gas phase equilibrium reaction at constant temperature, if the total pressure is and the pressure equilibrium constant is 9 atm , then the degree of dissociation is given as . The va

Which of the following complexes will show coordination isomerism?(A) (B) (C) (D) (E) Choose the correct answer from the options given below :[JEE Main 2 apr 2026 Shift 2]

Given is a concentrated solution of a weak electrolyte of concentration 'c' and dissociation constant 'K'. the degree of dissociation is given by:[JEE Main 6 Apr 2026 shift 2]

The surface of sodium metal is irradiated with radiation of wavelength x nm. The kinetic energy of ejected electrons is . The work function of sodium is 2.3 eV . The value of x is _____ . (Nearest int

Benzyl isocyanide can be obtained fromChoose the correct answer from the options given below :[JEE Main 5 Apr 2026 Shift 1]

' A ' is a neutral organic compound ( ). On treatment with aqueous , ' A ' forms a compound ' B ' which is soluble in dilute acid. ' B ' on treatment with aqueous produces a compound ' C ' which on tr

A chromium complex with a formula has a spin only magnetic moment value of 3.87 BM and its solution conductivity corresponds to electrolyte. 2.75 g of the complex solution was initially passed through

Consider the following data :Electrolyte HCl is sparingly soluble in water. If the conductivity of the saturated solution is then the solubility product of can be given as.(Here )[JEE Main 6 Apr 2026

Product C of the following reaction sequence will be [JEE Main 4 Apr 2026 Shift 1]

Two liquids and form an ideal solution at temperature . At , the vapour pressures of pure and are 55 and respectively. What is the mole fraction of in solution of and in equilibrium with a vapour in w

Consider the first order reaction .The fraction of molecules decomposed in the given first order reaction can be expressed as[JEE Main 4 Apr 2026 Shift 1]

80 mL of a hydrocarbon on mixing with 264 mL of oxygen in a closed U-tube undergoes complete combustion. The residual gases after cooling to 273 K occupy 224 mL . When the system is treated with KOH s

Consider the following species Number of species having sp hybridized central atom is ______.[JEE Main 5 Apr 2026 Shift 1]

Structures of four disaccharides are given below. Among the given disaccharides, the non-reducing sugar is :

Which of the following statements are TRUE about Haloform reaction?A. Sodium hypochlorite reacts with KI to give KOI .B. KOI is a reducing agent.C. -unsaturated methylketonewill give iodoform reaction

is isostructural with :A. B. C. D. E. Choose the correct answer from the options given below:[JEE Main 2 apr 2026 Shift 2]

Given below are two statements :Statement-I : Methane can be prepared by decarboxylation of sodium ethanoate, Kolbe's electrolysis of sodium acetate and reaction of with water.Statement-II : Methane c

Observe the following equilibrium in a 1 L flask. At , the equilibrium concentrations of and are 0.5 M and 0.375 M respectively. 0.1 moles of is added into the flask and heated to to establish the equ

Find the correct statements related to group 15 hydrides.A. Reducing nature increases from to B. Tendency to donate lone pair of electrons decreases from to C. The stability of hydrides decreases from

Number of moles and number of molecules in 1.4187 L of at STP respectively are[JEE Main 4 Apr 2026 Shift 1]

Match List - I with List - II. List - I Reaction of Glucose with List - II Product formed A. Hydroxylamine I. Gluconic acid B. water II. Glucose pentacetate C. Excess acetic anhydride III. Saccharic a

is a paramagnetic complex. Identify the INCORRECT statements about this complex. A. The complex exhibits geometrical isomerism. B. The complex is white in colour. C. The calculated spin-only magnetic

One mole each of He and are taken in a 10 L closed flask and heated to 400 K to establish the following equilibrium. [equation] for this reaction at 400 K is 4.0. The partial pressures (in atm) of He

Consider the dissociation equilibrium of the following weak acid . If the pKa of the acid is 4 , then the pH of 10 mM HA solution is .(Nearest integer)[Given: The degree of dissociation can be neglect

Given below are two statements :Statement-I : Aluminium upon reaction with NaOH forms ion.Statement-II : The geometry of and is square planar, pyramidal and linear respectively.In the light of the abo

The following structures are[JEE Main 4 Apr 2026 Shift 2]

Consider the following reactions Carbon The oxidation states of Cu in Z and Q , respectively are :

Which of the following are not correct? A. For water, magnitude of is more than the magnitude of . B. The elevation in boiling point of water when a non-volative solute is added to it is larger in mag

The correct statements among the following are :A. Mo(VI) and W(VI) are less stable than Cr(VI).B. and are oxidant while and are reductant.C. Cm and Am have seven unpaired electrons.D. Actinoid contra

0.53 g of an organic compound when heated with excess of nitric acid (concentrated) and then with silver nitrate gave 0.75 g of silver bromide precipitate. 1.0 g of gave 1.32 g of gas on combustion. T

2.0 g of a bromo hydrocarbon (X) was subjected to Carius analysis, gave 3.36 g of AgBr. The percentage of carbon in the compound (X) is .Total number of carbon atoms in the empirical formula for compo

Let be such that the system of linear equations has no solution. Then is equal to :[JEE Main 2 apr 2026 Shift 1]

If the solution curve of the differential equation passes through the point , then the local maximum value of is

Let be function defined as . Let , , where . If , , then the area of the region bounded by the curves and is:[JEE Main 8 apr 2026 shift 2]

Let [∙] denote the greatest integer function. Then the value of is:[JEE Main 2 apr 2026 Shift 1]

Let and . Then the number of elements, in the relation , divides is ____[JEE Main 5 April 2026 Shift 2]

The value of the integral is :[JEE Main 6 Apr 2026 shift 1]

Let and Then the max and is :

If is the image of (α, 2 α, 1) in the line , then the possible value(s) of α is(are) :[JEE Main 4 Apr 2026 Shift 2]

Let be defined as . Then f is :[JEE Main 6 Apr 2026 shift 2]

Let f(x) and g(x) be twice differentiable functions satisfying f''(x) = g''(x) for all , f'(1) = 2g'(1) = 4 and g(2) = 3f(2) = 9. Then f(25) – g(25) is equal to :[JEE Main 5 April 2026 Shift 2]

If the system of equations has no solution, then the value of is equal to:

Let be the solution curve of the differential equation . Then the value of is :

Let be the distinct solutions of the equation . Then is equal to :[JEE Main 5 April 2026 Shift 2]

Let be the number obtained on rolling a fair die. If the probability that the system has a unique solution is , then the sum of and all possible values of is:

Let . Let R be a relation on A defined by if and only if is a multiple of 3 . Given below are two statements : Statement I : . Statement II : R is an equivalence relation. In the light of the above st

Let and be three matrices with real entries such that and . If and , then is

Consider the matrices . If matrices P and Q are such that B and , then the absolute value of the sum of the diagonal elements of is _____ .[JEE Main 2 apr 2026 Shift 2]

Let a line passing through the point be perpendicular to the lines and . Let the line L intersect the - plane at the point Q . Another line parallel to L and passing through the point intersects the -

The number of elements in the set and is

Let the line divide the area of the region in the ratio . Then is equal to

Let and be two square matrices of order 3 such that and . Then the value of is:

A building has ground floor and 10 more floors. Nine persons enter in a lift at the ground floor. The lift goes up to the floor. The number of ways, in which any 4 persons exit at a floor and the rema

For the matrices and , if , then among the following which one is true?

If , where , then is equal to

Let and be two matrices such that . Then the sum of all the elements of is

Let and .Then is equal to

Let and where inverse trigonometric functions take only the principal values.Given below are two statements:Statement I : Statement II : In the light of the above statements, choose the correct answer

For 10 observations , if and , then their standard deviation is :[JEE Main 4 Apr 2026 Shift 2]

The number of 4-letter words, with or without meaning, each consisting of two vowels and two consonants that can be formed from the letters of the word INCONSEQUENTIAL, without repeating any letter, i

If , then is equal to _____ .[JEE Main 5 Apr 2026 Shift 1]

Let and Then the number of points, where the function gof is discontinuous, is ______ .[JEE Main 6 Apr 2026 shift 2]

A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the the envelope just two consecutive letters AN are visible. The probability, that the letter came from ANANTPUR, is

If the area of the region bounded by 144 and is A , then is equal to _____ .[JEE Main 2 apr 2026 Shift 2]

The number of elements in the relation is

Let be such that the function be differentiable at all . Then is equal to

Let . Let R be a relation on A defined by if and only if . Let be the number of elements in R . Let m and n be the minimum number of elements required to be added in R to make it reflexive and symmetr

Let [.] denote the greatest integer function. Then is equal to :

The mean deviation about the mean for the data 579101215 862226is equal to :[JEE Main 5 Apr 2026 Shift 1]

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

is equal to .

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

Let and . If , where , then is equal to :

Let be a differentiable function such that for all and . Then the minimum value of the function is[JEE Main 5 Apr 2026 Shift 1]

The number of ways, in which 16 oranges can be distributed to four children such that each child gets at least one orange, is

The system of linear equations has:

Let and the minimum value of the function in the interval be . Then is equal to

From a month of 31 days, 3 different dates are selected at random. If the probability that these dates are in an increasing A.P. is equal to , where and gcd(a,b) = 1, then a + b is equal to ______.[JE

Let be a differentiable function defined as . Then the value fo is :[JEE Main 5 April 2026 Shift 2]

Let the line L pass through the point and make equal angles with the positive coordinate axes. If the distance of L from the point is , then the sum of all possible values of is :

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

If , then is equal to:[JEE Main 2 apr 2026 Shift 1]

Let a line L be perpendicular to both the lines and . If θ is the acute angle between the lines L and , then is equal to:[JEE Main 6 Apr 2026 shift 1]

A variable X takes values 0,0,2,6,12,20, . . . with frequencies , , respectively. If the mean of this data is 60 , then its median is:[JEE Main 5 April 2026 Shift 2]

A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least two balls of each colour, is:[JEE Main 5 April 2026 Shift 2]

Let a differentiable function satisfy the equation . If is a standard parabola passing through the points and , then is equal to 。

Let . Then is equal to :[JEE Main 4 Apr 2026 Shift 2]

Let . If and , then equals

Let for some be a function satisfying for all . If and , then the value of is :[JEE Main 4 Apr 2026 Shift 2]

If , then the number of solutions of the equation is .

The sum of all possible values of for which the system of equations : has a non-trivial solution, is equal to :[JEE Main 6 Apr 2026 shift 2]

Let α ,β be the roots of the equation and be the roots of the equation If the roots of the equation are and then m is equal to :[JEE Main 2 apr 2026 Shift 2]

Let the domain of the function be . Then is equal to:

Let and . Then is equal to:[JEE Main 6 Apr 2026 shift 1]

Let ABC be a triangle. Consider four points on the side AB , five points on the side , and four points on the side . None of these points is a vertex of the triangle . Then the total number of pentago

A data consists of 20 observations . If and , then the ratio of mean to standard deviation of this data is :[JEE Main 6 Apr 2026 shift 1]

Let and .If , then among the two statements :(S1) : and(S2): [JEE Main 2 apr 2026 Shift 1]

If and , then is equal to:

The letters of the word "UDAYPUR" are written in all possible ways with or without meaning and these words are arranged as in a dictionary. The rank of the word "UDAYPUR" is

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

Let denote the greatest integer function and . Then is equal to

Let the line be parallel to the vector and pass through the point , and the line be parallel to the vector and pass through the point . If the line is parallel to the vector and intersects the lines a

Let A be a matrix such that . If and are nonnegative integers, then is equal to

If , then is equal to :

The number of matrices A , which can be formed using the elements of the set such that the sum of all the diagonal elements of is 5 , is

Let be a A. P. and α be the minimum value of . Then the value of the integral is :[JEE Main 5 April 2026 Shift 2]

The square of the distance of the point (-2, -8, 6) from the line along the line is equal to:[JEE Main 4 Apr 2026 Shift 1]

If the set of all , for which the equation has no real root, is the interval and , then is equal to

The mean and variance of 10 observations are 9 and 34.2 , respectively. If 8 of these observations are , then the mean deviation about the median of all the 10 observations is

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

If the mean deviation about the median of the numbers is 500 , then is equal to:

Let be a differentiable function satisfying and let If and are respectively the points of local minima and local maxima of , then the value of is equal to .

If , then at is equal to :[JEE Main 4 Apr 2026 Shift 1]

Let . Consider the following two statements : (I) is discontinuous at . (II) is continuous at . Then,

If the function is continuous at , then the value of is equal to

Let S be a set of 5 elements and denote the power set of S . Let E be an event of choosing an ordered pair from the set such that . If the probability of the event is , where , then is equal to

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

Let for some . If the set of all possible values of q , such that the roots of the equation lie in (0, 2), be the interval (α, β], then equals.[JEE Main 6 Apr 2026 shift 2]

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

Let be the solution of the differential equation , . If , then equals _______.[JEE Main 5 April 2026 Shift 2]

Let , be such that . If , where , then is equal to:

Let , If f is continuous at , then the value of is :[JEE Main 8 apr 2026 shift 2]

Among the statements : I: If , then , and II: If , then ,

Let denote the total number of triangles formed by joining the vertices of an n-side regular polygon. If then the sum of all distinct prime divisors of n is :[JEE Main 2 apr 2026 Shift 2]

Two distinct numbers and are selected at random from . The probability, that their product is divisible by 3 , is

If , then the value of x is :[JEE Main 6 Apr 2026 shift 2]

If the distance of the point (a, 2, 5) from the image of the point (1, 2, 7) in the line is 4, then the sum of all possible values of a is equal to :[JEE Main 5 April 2026 Shift 2]

The value of the integral is equal to :[JEE Main 8 apr 2026 shift 2]

Let [•] denote the greatest integer function. If the domain of the function is [α, β],then is equal to :[JEE Main 4 Apr 2026 Shift 1]

Let be the solution of the differential equation and let . Then the number of integral value of p, for which the equation represents a circle of radius , is _______ .[JEE Main 5 Apr 2026 Shift 1]

The vertices and of a triangle lie on the line . The coordinates of A and are and respectively and is at a distance of 10 units from . The area (in sq. units) of is :

Let and be a set of polynomials. Then the number of polynomials in S , which are divisible by , is

A bag contains 6 blue and 6 green balls. Pairs of balls are drawn without replacement until the bag is empty. The probability that each drawn pair consists of one blue and one green ball is :[JEE Main

If the mean of the dataClass5-1010-1515-2020-2525-3030-35Frequency2k2854k+15is 21, then k is one of the roots of the equation :[JEE Main 2 apr 2026 Shift 1]

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

Let . If , then is equal to:

The number of numbers greater than 5000 , less than 9000 and divisible by 3 , that can be formed using the digits , if the repetition of the digits is allowed, is

A bag contains 10 balls out of which are red and are black, where . If three balls are drawn at random without replacement and all of them are found to be black, then the probability that the bag cont

The area of the region is equal to :[JEE Main 5 Apr 2026 Shift 1]

A line with direction ratios 1, -1, 2 intersects the lines and at the points P and Q , respectively. If the length of the line segment PQ is α, then is equal to:[JEE Main 4 Apr 2026 Shift 1]

Let denote the area of the region in the first quadrant bounded by and .Then is equal to

Let and . Then

Let and be a set of matrices. Then the number of matrices in S, for which the sum of the diagonal elements is equal to 4, is:[JEE Main 4 Apr 2026 Shift 1]

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

The number of seven-digit numbers, that can be formed by using the digits 1, 2, 3, 5 and 7 such that each digit is used at least once, is ;[JEE Main 2 apr 2026 Shift 1]

A bag contains (N + 1) coins -N fair coins, and one coin with 'Head' on both sides. A coin is selected at random and tossed. If the probability of getting 'Head' is , then N is equal to:[JEE Main 6 Ap

The area of the region bounded by the curves and is equal to :[JEE Main 4 Apr 2026 Shift 2]

is equal to :[JEE Main 4 Apr 2026 Shift 2]

Let . Let be the 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 to make it a symmetric relation. Then is equal

The product of all possible values of α, for which , is :[JEE Main 5 Apr 2026 Shift 1]

A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1. Then, the variance of all these 10 observations is equal to :[JEE Main 8 apr 2026 shif

Let the mean and variance of 8 numbers be and , respectively. Then the mean of 4 numbers is :

If the system of equations : has infinitely many solutions, then the value of is :[JEE Main 4 Apr 2026 Shift 2]

Let A = {2, 3, 4, 5, 6}. Let R be a relation on the set A A given by (x, y)R (z, w) if and only if x divides z and y w. Then the number of elements in R is ______.[JEE Main 2 apr 2026 Shift 2]

Let be a differentiable function in the interval such that , and for each . Then is equal to :

Let L be the line and let S be the set of all points on L , whose distance from the line along the line is 7 . Then is equal to :

If is a solution of the system of equations , where and , then is equal to :

Let a line L passing through the point (1, 1, 1) be perpendicular to both the vectors and . If P(a, b, c) is the foot of perpendicular from the origin on the line L, then the value of 34(a + b + c) is

Let the relation R on the set be given by . Then the minimum number of elements required to be added in , in order to make the relation symmetric, is equal to

Let . Then the value of is :

If a random variable has the probability distribution 0 1 2 3 4 5 6 7 0 2 k k 3 k 2 k then is equal to

If the system of linear equations : has infinitely many solutions, then the value of equals.[JEE Main 8 apr 2026 shift 2]

Let be a relation defined on the set by . Then the number of elements in is

The value of the integral is equal to[JEE Main 6 Apr 2026 shift 2]

Let , where . If , then is equal to

Let . If the number of elements in such that is a multiple of 5 is and the number of elements in such that is a square of a prime number is q , then is equal to .

Let , where A is a matrix. If , then is equal to .

The number of elements in the set , is[JEE Main 2 apr 2026 Shift 1]

A coin is tossed 8 times. If the probability that exactly 4 heads appear in the first six tosses and exactly 3 heads appear in the last five tosses is p, then 96p is equal to ____ .[JEE Main 4 Apr 202

Let be the solution of the differential equation . Then is equal to:[JEE Main 2 apr 2026 Shift 2]

The area of the region is :[JEE Main 4 Apr 2026 Shift 1]

Let and for some . If the mean and variance of the elements of Y are 30 and 750 , respectively, then the sum of all possible values of is

The number of 4 -letter words, with or without meaning, which can be formed using the letters , is 。

If , where and are positive integers with for and C is the constant of integration, then is equal to

Let be the roots of the quadratic equation . If , then the sum of all possible values of is :

The integral is equal to :[JEE Main 4 Apr 2026 Shift 2]

If is the solution of the differential equation, , then the function is equal to

If , then is equal to

From a lot containing 10 defective and 90 non-defective bulbs, 8 bulbs are selected one by one with replacement. Then the probability of getting at least defective bulbs is

Let S be the set of the first 11 natural numbers. Then the number of elements in and the product of all elements of is even is .

The number of values of , satisfying the equations , is :[JEE Main 8 apr 2026 shift 2]

The probabilities that players A and B of a team are selected for the captaincy for a tournament are 0.6 and 0.4, respectively. If A is selected the captain, the probability that the team wins the tou

Let denote the greatest integer function, and let . Let : the function is discontinuous at . Then equals

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

Let be the solution of the differential equation : , , satisfying .If , than α is equal to :[JEE Main 4 Apr 2026 Shift 2]

The value of the integral is :[JEE Main 5 Apr 2026 Shift 1]

The number of ways, of forming a queue of 4 boys and 3 girls such that all the girls are not together, is:[JEE Main 4 Apr 2026 Shift 1]

The value of the integral is :

The number of distinct real solutions of the equation is

The area of the region, inside the ellipse and outside the region bounded by the curves and , is :

Let the circle and , be such that lies within . If moves on moves on and , then max is equal to :-[JEE Main 2 apr 2026 Shift 2]

If , then the value of is:

The largest value of , for which divides , is

Let and be the roots of the equation such that . Then the set of all possible values of is :

Let be a twice differentiable function such that the quadratic equation in m , has two equal roots for every . If , and is the largest interval in which the function is increasing, then is equal to .

If the mean and the variance of the dataClass Frequency3 47are and 19 respectively, then the value of is :

Consider the relation R on the set {-2, -1, 0, 1, 2} defined by (a, b) R if and only if 1 + ab > 0. Then among the statements :I. The number of elements in R is 17II. R is an equivalence relation[JEE

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

Let f: R ⟶ R be such that , for all and be a differentiable function such that Then is equal to :[JEE Main 6 Apr 2026 shift 2]

Let be the largest interval in which the function , is strictly decreasing. Then the local maximum value of the function , is

Let the area of the region bounded by the curve , lines , and the -axis be A . Then, is equal to 。

Let . Then the minimum number of elements, required to be added in R to make it a transitive relation, is ______.[JEE Main 6 Apr 2026 shift 2]

The value of , where denotes the greatest integer function, is

A person has three different bags and four different books. The number of ways, in which he can put these books in the bags so that no bag is empty, is[JEE Main 8 apr 2026 shift 2]

The number of relations, defined on the set , which are both reflexive and symmetric, is equal to:

If , where C is the constant of integration, then is equal to

If , then is equal to _______.[JEE Main 2 apr 2026 Shift 1]

For the function f:[1, ∞) ⟶[1, ∞) defined by , among the two statements :(I) The set contains exactly two elements, and(II) The set is an empty set,[JEE Main 4 Apr 2026 Shift 2]

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

Let e be the base of natural logarithm and let and be two bijective functions such that f is strictly decreasing and g is strictly increasing. If , then the area of the region is :[JEE Main 6 Apr 2026

The number of functions , which are not onto, is :[JEE Main 4 Apr 2026 Shift 1]

Let a triangle PQR be such that P and Q lie on the line and are at a distance of 6 units from . If (α, β, γ) is the centroid of , then is equal to:[JEE Main 5 April 2026 Shift 2]

Let and be a matrix such that . Then the sum of the diagonal elements of is equal to

If satisfies the differential equation and , then is equal to :

If the point of intersection of the lines and lies on xy-plane, then the value of a + b is :[JEE Main 2 apr 2026 Shift 1]

Let be the solution of the differential equation . Then is equal to[JEE Main 4 Apr 2026 Shift 1]

A candidate has to go to the examination centre to appear in an examination. The candidate uses only one means of transportation for the entire distance out of bus, scooter and car. The probabilities

If the system of equations has infinitely many solutions, then the point (a, b) lies on the line[JEE Main 2 apr 2026 Shift 2]

The smallest positive integral value of , for which all the roots of are real and distinct, is equal to

Bag A contains 9 white and 8 black balls, while bag B contains 6 white and 4 black balls. One ball is randomly picked up from the bag and mixed up with the balls in the bag . Then a ball is randomly d

Let and . If the number of points where g is not continuous and is not differentiable are α and β respectively, then is equal to _____.[JEE Main 4 Apr 2026 Shift 2]

Let y = y(x) be the solution curve of the differential equation . If the curve passes through the point , then a value of α is :[JEE Main 2 apr 2026 Shift 1]

Let denote the greatest integer less than or equal to . If the function is continuous at , then is equal to:

Two players A and B play a series of games of badminton. The player, who wins 5 games first, wins the series. Assuming that no game ends in a draw, the number of ways, in which player A wins the serie

Consider the following three statements for the function defined by : (I) is differentiable at all . (II) is increasing in . (III) is decreasing in . Then.

Let [.] be the greatest integer function. If , then is equal to .

Let be a complex number such that and . Then the value of is equal to :

From the first 100 natural numbers, two numbers first and then are selected randomly without replacement. If the probability that is , then is equal to .

If the domain of the function is , then the value of is ____ .[JEE Main 2 apr 2026 Shift 1]

Let the direction cosines of two lines satisfy the equations : and . Then the cosine of the acute angle between these lines is :

Let [∙] denote the greatest integer function. If the domain of the function is [α, β), then is equal to:[JEE Main 6 Apr 2026 shift 1]

The number of points in the interval [2,4], at which the function , where denotes the greatest integer function, is discontinuous, is _____ .[JEE Main 2 apr 2026 Shift 2]

Let . Then is equal to:

Let z be a complex number such that and . Then is equal to :[JEE Main 4 Apr 2026 Shift 1]

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

The area of the region , is :[JEE Main 6 Apr 2026 shift 1]

The sum of all values of , for which the shortest distance between the lines and is , is

The mean and variance of a data of 10 observations are 10 and 2 , respectively. If an observations in this data is replaced by , then the mean and variance become 10.1 and 1.99 , respectively. Then eq

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

The area of the region is:[JEE Main 6 Apr 2026 shift 2]

Let be a twice differentiable function such that for all and , where is a real number. Let . Consider the following two statements: (I) g is increasing in (II) g is decreasing in Then,

Let and be two parabolas. If the area of the bounded region enclosed between and is six times the area of the bounded region enclosed between the line and , then is equal to :

If satisfies the relation , then is equal to .

The value of is equal to:[JEE Main 2 apr 2026 Shift 2]

Let be the point on the line at a distance from the point and nearer to the origin. Then the shortest distance, between the lines and , is equal to

The number of critical points of the function in the interval is equal to:[JEE Main 2 apr 2026 Shift 1]

If , where , are the roots of the equation such that , then the sum of all possible values of is

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

Let . Then is equal to :[JEE Main 6 Apr 2026 shift 2]

Let be continuous at . If , then is equal to:

The value of is:[JEE Main 6 Apr 2026 shift 1]

The probability distribution of a random variable X is given below : X4k 6kP(X) If , then is equal to :

Let be a twice differentiable non-negative function such that . Then the mean of is equal to 。

The number of solutions of , where , is equal to:

Three persons enter in a lift at the ground floor. The lift will go up to floor. The number of ways, in which the three persons can exit the lift at three different floors, if the lift does not stop a

Let be the image of the point in the line . Then the distance of Q from the line is

The square of the distance of the point from the line is equal to :[JEE Main 5 Apr 2026 Shift 1]

A random variable takes values with probabilities respectively, where . Let and respectively be the mean and standard deviation of such that . Then is equal to:

If is continuous at , then is equal to :

Let and . If then is

Let and . If and be such that , then is equal to

Let . Let α, β be the roots of the equation . If and , then is equal to:[JEE Main 5 Apr 2026 Shift 1]

The area of the region and is:

Let f be a real polynomial of degree n such that , for all . If , then 36 is equal to :[JEE Main 4 Apr 2026 Shift 1]

Let be a polynomial of degree 5, and have extrema at x = 1 and x=-1. If , then is equal to :[JEE Main 2 apr 2026 Shift 2]

The shortest distance between the lines and is:[JEE Main 6 Apr 2026 shift 2]

For the function consider the following statements:Statement I : f is differentiable for all .Statement II : f is increasing in .In the light of the above statements, choose the correct answer from th

Let the mean and variance of 7 observations , be 8 and 16 respectively. Two numbers are chosen from one after another without replacement, then the probability, that the smaller number among the two c

Let , where is the greatest integer function . Then equals.[JEE Main 4 Apr 2026 Shift 1]

Let be the bounded area enclosed by the curves and -axis that lies in the first quadrant. Let be the bounded area enclosed by the curves , and -axis that lies in the first quadrant. Then is equal to

The number of the real solutions of the equation: is

Let the set of all values of such that the equation , has at least one solution, be the interval [α, β]. Then is equal to:[JEE Main 6 Apr 2026 shift 1]

Let , where [.] is the greatest integer funtion. Then

Let f be a twice differentiable function such that Then is equal to ____ .[JEE Main 4 Apr 2026 Shift 2]

Let . If and , then is equal to:[JEE Main 2 apr 2026 Shift 2]

A man throws a fair coin repeatedly. He gets 10 points for each head he throws and 5 points for each tail he throws. If the probability that he gets exactly 30 points is gcd (m, n) = 1, then m + n is

If the quadratic equation , , has two positive roots, then the number of possible integral values of λ is :[JEE Main 4 Apr 2026 Shift 2]

The value of the integral is:[JEE Main 5 Apr 2026 Shift 1]

Let S denote the set of 4-digit numbers such that and P denote the set of 5 -digit numbers having product of its digits equal to 20 . Then is equal to

Let . Then the number of solutions of the equation , is :[JEE Main 5 April 2026 Shift 2]

Let . Let be the number of 9 -digit numbers formed using the digits of the set S such that only one digit is repeated and it is repeated exactly twice. Let be the number of 9 -digit numbers formed usi

For some , let and be such that . Then is equal to .

The largest , for which divides 101!, is :

A building construction work can be completed by two masons A and B together in 22.5 days. Mason A alone can complete the construction work in 24 days less than mason B alone. Then mason A alone will

Let the point A be the foot of perpendicular drawn from the point on the line . If the midpoint of the line segment PA is , then the value of is equal to :[JEE Main 2 apr 2026 Shift 2]

If the set of all solutions of is [α, β] ∪[γ, ∞), then is equal to :[JEE Main 4 Apr 2026 Shift 1]

Let be the complex number satisfying and having maximum positive principal argument. Then is equal to:

Consider the system of linear equations in x, y, z : Where is a differentiable function. If this system has infinitely many solutions for all , then f[JEE Main 5 Apr 2026 Shift 1]

The area of the region enclosed between the circles and is:

Let f be a polynomial function such that . and . Then is equal to _______ .[JEE Main 8 apr 2026 shift 2]

Let be a set of complex numbers. Then is equal to :

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

Let be the roots of the quadratic equation = 4n for some n N. Then (n + α) is equal to :[JEE Main 2 apr 2026 Shift 1]

Let A = {(a, b, c) : a, b, c are non-negative integers and a + b + 2c = 22}.The n(A) is equal to :[JEE Main 4 Apr 2026 Shift 2]

Let be a function such that . Let maximum value of f on R be α. If the area of the region bounded by the curves and , β>0, is , then is equal to ______.[JEE Main 5 April 2026 Shift 2]

Consider two sets and . Then the number of onto functions is equal to :

The value of is

The number of strictly increasing functions from the set to the set such that for , is equal to :

If the curve passes through the point ( ) and satisfies the differential equation , then f(e) is equal to :[JEE Main 2 apr 2026 Shift 1]

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

The area of the region is

If , then the determinant of the matrix is

The value of is equal to:

Let the image of the point in the line be the point R and the image of the point in the line be the point S. Then the square of the area of the parallelogram PQRS is ____ .[JEE Main 6 Apr 2026 shift 2

The value of is equal to

Given below are two statements : Statement I : The function defined by is one-one. Statement II : The function defined by is many-one. In the light of the above statements, choose the correct answer f

The sum of all the elements in the range of , where is :

Let . If the probability, that for all , is , , then is equal to ______ .[JEE Main 2 apr 2026 Shift 1]

The mean and variance of n observations are 8 and 16, respectively. If the sum of the first (n – 1) observations is 48 and the sum of squares of the first (n – 1) observations is 496, then the value o

If the distances of the point from the line along the lines and are equal, then is equal to

The least value of is

Let x and y be real number such that . Then the value of is :[JEE Main 2 apr 2026 Shift 1]

Let the maximum value of for be , where . Then is equal to 。

If , then is equal to ______.[JEE Main 8 apr 2026 shift 2]

If the image of the point in the line is Q and the image of Q in the line is P , then is equal to 。

Suppose that the mean and median of the non-negative numbers 21, 8, 17, a, , , are 40 and 21, respectively. If the mean deviation about the median is 26 , then 2 a is equal to :[JEE Main 4 Apr 2026 Sh

Let the mean and the variance of seven observations 2,4, α, 8, β, 12,14, α< β, be 8 and 16 respectively. Then the quadratic equation whose roots are and is :[JEE Main 6 Apr 2026 shift 2]

If the domain of the function is , then equals:

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

Let and be functions satisfying and , for all . If , then n is equal to

Let the foot of perpendicular from the point (λ, 2,3) on the line be the point (1, µ, 2). Then the distance between the lines and is equal to[JEE Main 8 apr 2026 shift 2]

Let . The number of one-one functions such that and , is ______ .[JEE Main 5 Apr 2026 Shift 1]

For the two cells having same EMF and internal resistance , the current passing through the external resistor is same when both the cells are connected either in parallel or in series. The value of in

In an open organ pipe and are and harmonic frequencies, respectively. If then length of the pipe is mm. (Take velocity of sound in air is .)

A laser beam has intensity of . The amplitude of magnetic field associated with beam is ____\_\_\_\_\_\_\_\_ T. (Take and )

A wire of uniform resistance is bent into a circle of radius and another piece of wire with length is connected between points and as shown in figure. The equivalent resistance between points and is .

The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is . The terminal velocity of another ball of same material and having radius 3 mm in the same fluid will be .

A circular loop of radius 7 cm is placed in uniform magnetic field of 0.2 T directed perpendicular to plane of loop. The loop is converted into a square loop in 0.5 s . The EMF induced in the loop is

A parallel plate air capacitor has a capacitance C. When it is half filled as show in figure with a dielectric constant K = 5, the percentage increase in the capacitance is _________.[JEE Main 2 apr 2

In hydrogen atom spectrum, ( Rydberg's constant)A. the maximum wavelength of the radiation of Lyman series is B. the Balmer series lies in the visible region of the spectrum C. the minimum wavelength

A block of mass 5 kg is moving on an inclined plane which makes an angle of with the horizontal. Friction coefficient between the block and inclined plane surface is . The force to be applied on the b

An infinitely long straight wire carrying current is bent in a planar shape as shown in the diagram. The radius of the circular part is . The magnetic field at the centre of the circular loop is :

Let and . If is a vector such that and , then is equal to

Match the LIST-I with LIST-II List-IList-IIA.Radio-waveI.is produced by Magnetron valveB.Micro-waveII.due to change in the vibrational modes of atomsC.InfraredwaveIII.due to inner shell electrons movi

Match the LIST-I with LIST-II List-I List-II A. Spring constant I. B. Thermal conductivity II. C. Boltzmann constant III. D. Inductive reactance IV. Choose the correct answer from the options given be

A rod of length 10 cm lies along the principle axis of a concave mirror of focal length 10 cm as shown in figure. The length of the image is ________ cm. 20 cm.[JEE Main 4 Apr 2026 Shift 1]

An unpolarised light is incident at an interface of two dielectric media having refractive indices of 2 (incident medium) and (medium) respectively. To satisfy the condition that reflected and refract

Two charged conducting spheres and of radii 8 cm and 18 cm are connected to each other by a wire. After equilibrium is established, the ratio of electric fields on and spheres are and respectively. Th

The de Broglie wavelength associated with an electron accelerated through a potential difference V is and the de Broglie wavelength associated with a proton accelerated through the same potential diff

A circular coil of radius 2 cm and 125 turns carries a current of 1 A. The coil is placed in a uniform magnetic field of magnitude 0.4 T. The axis of the coil makes an angle of 30° with the direction

Three small identical bubbles of water having same charge on each coalesce to form a bigger bubble. Then the ratio of the potentials on one initial bubble and that on the resultant bigger bubble is :

Let and . Let be the vector in the plane of the vectors and , such that the length of its projection on the vector is . Then is equal to

Inductance of a coil with turns is 10 mH and it is connected to a dc source of 10 V with internal resistance of . The energy density in the inductor when the current reaches of its maximum value is .

Find the correct combination of A, B, C and D inputs which can cause the LED to glow.

A point charge is located at a distance 2 cm from one end of a thin insulating wire of length 10 cm having a charge , distributed uniformly along its length, as shown in figure. Force between and wire

Two known resistances of and and one unknown resistance are connected in a circuit as shown in the figure. If the equivalent resistance between points and in the circuit is , then the value of _______

Refer to the figure given below. The values of , and are ________.[JEE Main 5 Apr 2026 Shift 1]

Given below are two statements: Statement I: Pressure of a fluid is exerted only on a solid surface in contact as the fluid-pressure does not exist everywhere in a still fluid. Statement II: Excess po

As shown in the diagram, when the incident ray is parallel to base of the prism, the emergent ray grazes along the second surface. If refractive index of the material of prism is , the angle of prism

A Wheatstone bridge is initially at room temperature and all arms of the bridge have same value of resistances ( ). When resistance is heated to some temperature, its resistance value has gone up by .

Three charges and are situated at and respectively in the plane. The resultant dipole moment about origin is .

Given below are two statements : Statement I : An object moves from position to position under a conservative force field . The work done by the force is . Statement II: Any object moving from one loc

Two blocks with masses 100 g and 200 g are attached to the ends of springs and as shown in figure. The energy stored in is . The energy stored in , when spring constants of and , respectively satisfy

In the hydrogen atom, the electron makes a transition from the higher orbit (i) to a lower orbit (f). The ratio of the radius of the orbits in given by . The wavelength of photon emitted due to this t

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason RAssertion A : In electrostatics, a conductor does not store any net charge inside.Reason R : Inside

A short bar magnet placed with its axis at with an external field of 800 Gauss , experiences a torque of . The work done in moving it from most stable to most unstable position is . The value of is .

Let the lines and , intersect at the point R . Let P and Q be the points lying on lines and , respectively, such that and . If the point P lies in the first octant, then is equal to

Two loudspeakers and are placed with a separation of 10 m , as shown in figure. Both speakers are fed with an audio input signal of same frequency with constant volume. A voice recorder, initially at

A point source is kept at the center of a spherically enclosed detector. If the volume of the detector increased by 8 times, the intensity will

A block is sliding down on an inclined plane of slope and at an instant this block is given an upward momentum so that it starts moving up on the inclined surface with velocity . The distance travelle

A parallel plate capacitor has capacitance , when there is vacuum within the parallel plates. A sheet having thickness of the separation between the plates and relative permittivity is introduced betw

Electric field in a region is given by , where and . If the electric potential at a point is 500 V , then the electric potential at origin is V.

A metal rod of length L rotates about on end at origin with a uniform angular velocity ω. The magnetic field radially falls off as ; λ being a positive constant. The emf induced (neglecting the centri

An unpolarized light of certain intensity passes through a combination of two polarizers whose transmission axes are at 30° and 90°, respectively, with respect to the horizontal axis. A third polarize

Figure shows the circuit that contains three resistances ( each) and two inductors ( 4 mH each). The reading of ammeter at the moment switch is turned ON , is A.

Match List - I with List - II. List - I Relation List - II Law A. I. Ampere's circuital law B. II. Faraday's laws of electromagnetic induction C. III. Ampere - Maxwell law D. IV. Gauss's law of electr

The electric field in a plane electromagnetic wave is given by :

A simple pendulum has a bob with mass and charge . The pendulum string has negligible mass. When a uniform and horizontal electric field is applied, the tension in the string changes. The final tensio

The de Broglie weave length for an electron accelerated through the potential difference volt is . When the potential difference is changed to volt, the associated de Broglie wavelength is increased b

A hypothetical gas expands adiabatically such that its volume changes from 08 litres to 27 litres. If the ratio of final pressure of the gas to initial pressure of the gas is . Then the ratio of will

An object is projected with kinetic energy from a point at an angle with the horizontal. The ratio of the difference in kinetic energies at points and to that at point (see figure), in the absence of

When a light of a given wavelength falls on a metallic surface the stopping potential for photoelectrons is 3.2 V . If a second light having wavelength twice of first light is used, the stopping poten

The electric current in the circuit is given as . The r.m.s current for the period to is .

A light wave described by (in SI units) falls on a metal surface of work function 2.8 eV . The maximum kinetic energy of ejected photoelectron is (approximately)____ eV. ( . and )

In case of vertical circular motion of a particle by a thread of length if the tension in the thread is zero at an angle shown in figure, the velocity at the bottom point of the circular path is ( gra

Refer to the figure given below, current between terminals A and B is _______A.[JEE Main 5 Apr 2026 Shift 1]

A 5 mg particle carrying a charge of is moving with velocity of in a region having magnetic field It moves a distance of meter along when it completes 5 revolutions. The value of is _______.[JEE Main

A small metallic sphere of diameter 2 mm and density is dropped in glycerine having viscosity 10 Poise and density respectively. The terminal velocity attained by the sphere is . ( and )

Angle of minimum deviation is equal to the half of the angle of prism is an equilateral prism. The refreactive index of the prism is ______.[JEE Main 6 Apr 2026 shift 2]

A telescope with objective diameter R is used to observe a distant star emitting light of wavelength 500 nm, at a resolution of radian. The value of R is _______ cm.[JEE Main 4 Apr 2026 Shift 1]

Let a vector , make an obtuse angle with the vector and an angle , with the positive -axis. If the set of all possible values of is , then is equal to .

Two identical long current carrying wires are bent into the shapes shown in the following figures. If the magnitude of magnetic fields at the centres P and Q of a semicircular arc are and respectively

A slit of width is illuminated by light of wavelength . The linear separation between and minima in the diffraction pattern produced on a screen placed at a distance from the slit system is __________

In Rutherford's alpha-particle scattering experiment, only a few alpha particles rebound back because(A) The size of gold nucleus is very small as compared to the size of gold atom.(B) Alpha particle

The heat generated in 1 minute between points and in the given circuit, when a battery of 9 V with internal resistance of is connected across these points is J.

In a vernier callipers, 50 vernier scale divisions are equal to 48 main scale divisions. If one main scale division , then the least count of the vernier callipers is mm. [24 Jan 2026 Shift 2]

Consider light travelling from a medium AAA to medium BBB separated by a plane interface. If the light undergoes total internal reflection during its travel from medium AAA to BBB and the speed of lig

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A) : The electromagnetic wave exerts pressure on the surface on which they are allo

A small cube of side 1 mm is placed at the centre of a circular loop of radius 10 cm carrying a current of 2 A. The magnetic energy stored inside the cube is . The value of α is ________. [JEE Main 6

Let be the co-ordinates of the foot of the perpendicular drawn from the point on the line . Then the length of the projection of the vector on the vector is :

A particle of mass falls from rest through a resistive medium having resistive force, , where is the velocity of the particle and is a constant. Which of the following graphs represents velocity versu

A circular loop of radius 20 cm and resistance 2 Ω is placed in a time varying magnetic field At t = 0, for the plane of the loop being perpendicular to the magnetic field and, the induced current in

If the distance of the point , from the line along a line with direction ratios is , then is equal to

Identify the correct statements: A. Electrostatic field lines form closed loops. B. The electric field lines point radially outward when charge is greater than zero. C. The Gauss - Law is valid only f

For a triangle , let and . If and , where is the angle between and , then is equal to :

Identify the correct truth table of the given logic circuit.

Two metal plates (A,B) are kept horizontally with separation of cm, with plate A on the top. An atomizer jet sprays oil (density ) droplets of radius 1mm horizontally. All oil droplets carry a charge

A prism of angle and refractive index is coated with thin film of refractive index 1.5 only at the back exit surface. To have total internal reflection at the back exit surface the incident angle must

A ball of radius and density dropped through a viscous liquid of density and viscosity attains its terminal velocity at time , given by , where is a constant and and are integers. The value of is .

Two tuning forks and are sounded together giving rise to 8 beats in 2 s . When fork is loaded with wax, the beat frequency is reduced to 4 beats in 2 s . If the original frequency of tuning fork is 38

A concave mirror of focal length 10 cm forms an image which is double the size of object when the object is placed at two different positions. The distance between the two positions of the object is _

The equation of the electric field of an electromagnetic wave propagating through free space is given by : . The average power of the electromagnetic wave is . The value of is ( Take )

Consider a circuit consisting of a capacitor (20 μF), resistor (100 Ω) and two identical diodes as shown in figure. The resistance of diode under forward biasing condition is 10 Ω. The time constant o

In the given figure the blocks and weigh and 8 kg respectively. The co-efficient of sliding friction between any two surfaces is 0.5 . The force required to slide the block with constant speed is N .

Two cells of emfs 1V and 2V and internal resistance 2Ω and 1Ω, respectively connected in parallel, gave current of 1A through an external resistance. If the polarity of one cell is reversed, then valu

The electrostatic potential in a charged spherical region of radius varies as , where and are constants. The total charge in the sphere of unit radius is . The value of is . (permittivity of vacuum is

Two radioactive substances A and B of mass numbers 200 and 212 respectively, shows spontaneous α-decay with same Q value of 1 MeV. The ratio of energies of α-rays produced by A and B is _________.[JEE

A spherical interface lens of radius R separates two media of refractive indices 1 and 1.4 respectively as shown in the figure below. A point source is placed at a distance of 4R in front of spherical

The electric field of an electromagnetic wave travelling through a medium is given by then the refractive index of the medium is ____\_\_\_\_____ . (All given measurement are in SI units)

A displacement current of 4.0 A can be set up in the space between two parallel plates of 6 μF capacitor. The rate of change of potential difference across the plates of the capacitor is nearly . The

There are three co-centric conducting spherical shells and of radii and respectively ( ) and they are charged with charge and respectively. The potentials of the spheres and respectively, are :

The reading of the ammeter ( ) in steady state in the following circuit (assuming negligible internal resistance of the ammeter) is A.

For a thin symmetric prism made of glass (refractive index 1.5), the ratio of incident angle and minimum deviation will be _____.[JEE Main 2 apr 2026 Shift 1]

A capacitor with capacitance is fully charged with a potential difference of 6.0 V and disconnected from the battery. The charged capacitor is connected across another capacitor with capacitance . The

In Young’s double slit experiment, the frings width of the interferences pattern produced on the screen is 2.4 µ m. If the experiment is carried out in another medium having refractive index 1.2, the

A spring of force constant is cut into two pieces. If the ratio of their length is , then the force constant of smaller piece is .

The following diagram shows a Zener diode as a voltage regulator. The Zener diode is rated at and the desired current in load is 5 mA . The unregulated voltage source can supply upto 25 V . Considerin

The current passing through a conducting loop in the form of equilateral triangle of side is 2 A . The magnetic field at its centroid is . The value of is 。(Given : Sl units)

Potential energy ( ) versus distance ( ) is given by the graph. Rank various regions as per the magnitudes of the force ( ) acting on a particle from high to low.

A flexible chain of mass hangs between two fixed points at the same level. The inclination of the chain with the horizontal at the two points of support is . Considering the equilibrium of each half o

The smallest wavelength of Lyman series is 91 nm . The difference between the largest wavelengths of Paschen and Balmer series is nearly nm.

Given below are two statements : Statement I : A plane wave after passing through prism remains as plane wave but passing through small pin hole may become spherical wave. Statement II: The curvature

A current of 30 A each flows in opposite directions in two conducting wires, placed parallel to each other at a distance of 8 cm. The magnetic field at the mid point between the two wires is _____ μT.

Match List - I with List - II. List -1 List - II A. Coefficient of viscosity B. Surface tension C. Pressure D. Surface energy I. II. III. IV. Choose the correct answer from the options given below : [

A spherical body of radius and density falls freely through a viscous liquid having density and viscosity and attains a terminal velocity . Estimated maximum error in the quantity is : (Ignore errors