JEE Main 2025 January 29, Shift 2 Question Paper with Solutions

All 75 questions from the JEE Main 2025 (January 29, Shift 2) shift — Physics (25), Chemistry (25) and Mathematics (25) — each with the correct answer (answer key) and a step-by-step solution. Read it free online, or attempt the full paper as a timed mock test.

Physics PYQs 2025 Chemistry PYQs 2025 Mathematics PYQs 2025

Physics25 questions

Q26Single correct

The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have

(A)

(B)

(C)

(D)

Q27Single correct

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): With the increase in the pressure of an ideal gas, the volume falls off more rapidly in an isothermal process in comparison to the adiabatic process.

Reason (R): In isothermal process, PV = constant, while in adiabatic process PV^γ = constant. Here γ is the ratio of specific heats, P is the pressure and V is the volume of the ideal gas.

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

(A)

(B)

(C)

(D)

Q28Single correct

An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density σ

_{0}

. Choose the correct option from the following.

(A)

(B)

(C)

(D)

Q29Single correct

In an experiment with photoelectric effect, the stopping potential:

(A)

(B)

(C)

(D)

Q30Single correct

A point charge causes an electric flux of -2 × 1

0^{4}

m^{2}

C^{- 1}

to pass through a spherical Gaussian surface of 8.0 cm radius, centred on the charge. The value of the point charge is:

(Given ε

_{0}

= 8.85 × 1

0^{- 12}

C^{2}

N^{- 1} m^{- 2}

)

(A)

(B)

(C)

(D)

Q31Single correct

A poly-atomic molecule (

C_{V}

= 3R,

C_{P}

= 4R, where R is gas constant) goes from phase space point A(

P_{A}

= 1

0^{5}

Pa,

V_{A}

= 4 × 1

0^{- 6}

m^{3}

) to point B (

P_{B}

= 5 × 1

0^{4}

Pa,

V_{B}

= 6 × 1

0^{- 6}

m^{3}

) to point C (

P_{C}

= 1

0^{4}

Pa,

V_{C}

= 8 × 1

0^{- 6}

m^{3}

). A to B is an adiabatic path and B to C is an isothermal path. The net heat absorbed per unit mole by the system is:

(A)

(B)

(C)

(D)

Q32Single correct

Two identical symmetric double convex lenses of focal length f are cut into two equal parts

L_{1}

L_{2}

by AB plane and

L_{3}

L_{4}

by XY plane as shown in figure respectively. The ratio of focal lengths of lenses

L_{1}

and

L_{3}

(A)

(B)

(C)

(D)

Q33Single correct

A plane electromagnetic wave propagates along the +x direction in free space. The components of the electric field, E⃗ and magnetic field, B⃗ vectors associated with the wave in Cartesian frame are:

(A)

(B)

(C)

(D)

Q34Single correctOptics

Two concave refracting surfaces of equal radii of curvature and refractive index 1.5 face each other in air as shown in figure. A point object O is placed midway, between P and B. The separation between the images of O, formed by each refracting surface is:

(A)

0.214R

(B)

0.114R

(C)

0.411R

(D)

0.124R

Q35Single correctSimple Harmonic Motion

Two bodies A and B of equal mass are suspended from two massless springs of spring constant

k_{1}

and

k_{2}

, respectively. If the bodies oscillate vertically such that their amplitudes are equal, the ratio of the maximum velocity of A to the maximum velocity of B is

(A)

k_{1} / k_{2}

(B)

k_{1}

k_{2}

(C)

k_{2}

k_{1}

(D)

k_{2} / k_{1}

Q36Single correctCollision

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): Three identical spheres of same mass undergo one dimensional motion as shown in figure with initial velocities vA = 5 m/s, vB = 2 m/s, vC = 4 m/s. If we wait sufficiently long for elastic collision to happen, then vA = 4 m/s, vB = 2 m/s, vC = 5 m/s will be the final velocities.

Reason (R): In an elastic collision between identical masses, two objects exchange their velocities.

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

(A)

Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

(B)

(A) is true but (R) is false

(C)

Both (A) and (R) are true and (R) is the correct explanation of (A)

(D)

(A) is false but (R) is true

Q37Single correctPower and Momentum

A sand dropper drops sand of mass m(t) on a conveyor belt at a rate proportional to the square root of speed (v) of the belt, i.e.

\frac{d m}{d t}

\propto

v

. If P is the power delivered to run the belt at constant speed then which of the following relationship is true?

(A)

P^{2}

\propto

v^{3}

(B)

\propto

v

(C)

\propto

(D)

P^{2}

\propto

v^{5}

Q38Single correctOptics - Lens

A convex lens made of glass (refractive index = 1.5) has focal length 24 cm in air. When it is totally immersed in water (refractive index = 1.33), its focal length changes to

(A)

72 cm

(B)

96 cm

(C)

24 cm

(D)

48 cm

Q39Single correctCapacitors

A capacitor,

C_{1}

6

μ

F is charged to a potential difference of

V_{0}

= 5V using a 5V battery. The battery is removed and another capacitor,

C_{2}

12

μ

F is inserted in place of the battery. When the switch 'S' is closed, the charge flows between the capacitors for some time until equilibrium condition is reached. What are the charges (

q_{1}

and

q_{2}

) on the capacitors

C_{1}

and

C_{2}

when equilibrium condition is reached?

(A)

q_{1}

15

μ

q_{2}

30

μ

(B)

q_{1}

30

μ

q_{2}

15

μ

(C)

q_{1}

10

μ

q_{2}

20

μ

(D)

q_{1}

20

μ

q_{2}

10

μ

Q40Single correctAngular Momentum

Three equal masses m are kept at vertices (A, B, C) of an equilateral triangle of side a in free space. At t = 0, they are given an initial velocity V⃗A =

V_{0}

AC̅, V⃗B =

V_{0}

BA̅ and V⃗C =

V_{0}

CB̅. Here, AC̅, CB̅ and BA̅ are unit vectors along the edges of the triangle. If the three masses interact gravitationally, then the magnitude of the net angular momentum of the system at the point of collision is:

(A)

(1/2)am

V_{0}

(B)

3am

V_{0}

(C)

(

3

/2)am

V_{0}

(D)

(3/2)am

V_{0}

Q41Single correctUnits and Measurements

Match List-I with List-II.

List-I	List-II
A. Young's Modulus	I. $M L^{- 1} T^{- 1}$
B. Torque	II. $M L^{- 1} T^{- 2}$
C. Coefficient of Viscosity	III. $M^{- 1} L^{3} T^{- 2}$
D. Gravitational Constant	IV. $M L^{2} T^{- 2}$

(A)

(A)-(I), (B)-(III), (C)-(II), (D)-(IV)

(B)

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

(C)

(A)-(IV), (B)-(II), (C)-(III), (D)-(I)

(D)

(A)-(II), (B)-(IV), (C)-(I), (D)-(III)

Q42Single correctMagnetic Effects of Current and Magnetism

Match List-I with List-II.

List-I	List-II
A. Magnetic induction	I. Ampere mete $r^{2}$
B. Magnetic intensity	II. Weber
C. Magnetic flux	III. Gauss
D. Magnetic moment	IV. Ampere meter

(A)

(A)-(III), (B)-(IV), (C)-(I), (D)-(II)

(B)

(A)-(III), (B)-(IV), (C)-(II), (D)-(I)

(C)

(A)-(I), (B)-(II), (C)-(III), (D)-(IV)

(D)

(A)-(III), (B)-(II), (C)-(I), (D)-(IV)

Q43Single correctElectronic Devices

The truth table for the circuit given below is :

(A)

(B)

(C)

(D)

Q44Single correctHeat and Thermodynamics

A cup of coffee cools from

90°

C to

80°

C in

t

minutes when the room temperature is

20°

C. The time taken by the similar cup of coffee to cool from

80°

C to

60°

C at the same room temperature is :

(A)

\frac{13}{5} t

(B)

\frac{10}{13} t

(C)

\frac{13}{10} t

(D)

\frac{5}{13} t

Q45Single correctAtoms and Nuclei

The number of spectral lines emitted by atomic hydrogen that is in the 4th energy level, is

(A)

(B)

(C)

(D)

Q46NumericalMagnetic Effects of Current and Magnetism

The magnetic field inside a 200 turns solenoid of radius 10 cm is

2.9 \times 1 0^{- 4}

Tesla. If the solenoid carries a current of 0.29 A, then the length of the solenoid is __________

π

cm.

Q47NumericalElectrostatics

A parallel plate capacitor consisting of two circular plates of radius 10 cm is being charged by a constant current of 0.15 A. If the rate of change of potential difference between the plates is

7 \times 1 0^{8}

V/s then the integer value of the distance between the parallel plates is _________

μ

m. (Take,

ϵ_{0} = 9 \times 1 0^{- 12} \frac{F}{m}

π = \frac{22}{7}

)

Q48NumericalUnits and Measurements

A physical quantity Q is related to four observables a, b, c, d as follows:

Q = \frac{a b ^{4}}{c d}

where,

a = (60 \pm 3)

Pa;

b = (20 \pm 0.1)

c = (40 \pm 0.2) N s m^{- 2} an dd = (50 \pm 0.1)

m, then the percentage error in Q is

\frac{x}{1000}

, wherex= ______.

Q49NumericalGravitation

Two planets, A and B are orbiting a common star in circular orbits of radii

R_{A} an d R_{B}

, respectively, with

R_{B} = 2 R_{A}

. The planet B is

42

times more massive than planet A. The ratio

(\frac{L _{B}}{L _{A}})

of angular momentum

(L_{B})

of planet B to that of planet A

(L_{A})

is closest to integer __________.

Q50NumericalMotion in a Plane

Two cars P and Q are moving on a road in the same direction. Acceleration of car P increases linearly with time whereas car Q moves with a constant acceleration. Both cars cross each other at time

t = 0

, for the first time. The maximum possible number of crossing(s) (including the crossing at

t = 0

) is ________.

Chemistry25 questions

Q51Single correctCoordination Compounds

The calculated spin-only magnetic moments of

K_{3} [Fe (OH)_{6}] an d K_{4} [Fe (OH)_{6}]

respectively are :

(A)

4.90 and 4.90 B.M.

(B)

5.92 and 4.90 B.M.

(C)

3.87 and 4.90 B.M.

(D)

4.90 and 5.92 B.M.

Q52Single correctAtomic Structure

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

(A)

(B)

(C)

(D)

Q53Single correctSurface Chemistry

Given below are two statements: Statement (I): In partition chromatography, stationary phase is thin film of liquid present in the inert support. Statement (II): In paper chromatography, the material of paper acts as a stationary phase. In the light of the above statements, choose the correct answer from the options given below:

(A)

Both Statement I and Statement II are false

(B)

Statement I is true but Statement II is false

(C)

Both Statement I and Statement II are true

(D)

Statement I is false but Statement II is true

Q54Single correctBiomolecules

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

(A)

(A), (C) and (D) only

(B)

(A), (C) and (E) only

(C)

(B), (C) and (E) only

(D)

(C), (D) and (E) only

Q55Single correctHaloalkanes and Haloarenes

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

(A)

(B)

(C)

(D)

Q56Single correctChemical Equilibrium

Consider the equilibrium

CO (g) + 3 H_{2} (g) ⇌ CH_{4} (g) + H_{2} O (g)

. If the pressure applied over the system increases by two fold at constant temperature then (A) Concentration of reactants and products increases. (B) Equilibrium will shift in forward direction. (C) Equilibrium constant increases since concentration of products increases. (D) Equilibrium constant remains unchanged as concentration of reactants and products remain same. Choose the correct answer from the options given below:

(A)

(A) and (B) only

(B)

(A), (B) and (D) only

(C)

(B) and (C) only

(D)

(A), (B) and (C) only

Q57Single correctSolutions

Given below are two statements: Statement (I): NaCl is added to the ice at

0°

C, present in the ice cream box to prevent the melting of ice cream. Statement (II): On addition of NaCl to ice at

0°

C, there is a depression in freezing point. In the light of the above statements, choose the correct answer from the options given below:

(A)

Statement I is false but Statement II is true

(B)

Both Statement I and Statement II are true

(C)

Both Statement I and Statement II are false

(D)

Statement I is true but Statement II is false

Q58Single correctHydrocarbons

Given below are two statements: Statement (I): On nitration of m-xylene with

HNO_{3}

H_{2} SO_{4}

followed by oxidation, 4-nitrobenzene-1,3-dicarboxylic acid is obtained as the major product. Statement (II):

CH_{3}

group is o/p-directing while

NO_{2}

group is m-directing group. In the light of the above statements, choose the correct answer from the options given below:

(A)

Both Statement I and Statement II are false

(B)

Statement I is false but Statement II is true

(C)

Both Statement I and Statement II are true

(D)

Statement I is true but Statement II is false

Q59Single correctChemical Kinetics and Equilibrium

0.1 M solution of KI reacts with excess of

H_{2} S O_{4}

and KI

O_{3}

solution. According to equation

5 I^{-} + IO_{3}^{-} + 6 H^{+} \to 3 I_{2} + 3 H_{2} O

Identify the correct statements: (A) 200 mL of KI solution reacts with 0.004 mol of KI

O_{3}

(B) 200 mL of KI solution reacts with 0.006 mol of

H_{2} S O_{4}

I_{2}

(D) Equivalent weight of KI

O_{3}

is equal to

\frac{Molecular weight}{5}

(A)

(A) and (D) only

(B)

(B) and (C) only

(C)

(A) and (B) only

(D)

Q60Single correctElectrochemistry

Match List-I with List-II:

List-I (Applications)	List-II (Batteries/Cell)
A. Transistors	I. Anode - Zn/Hg; Cathode - HgO + C
B. Hearing aids	II. Hydrogen fuel cell
C. Invertors	III. Anode - Zn; Cathode - Carbon
D. Apollo space ship	IV. Anode - Pb; Cathode - Pb \| Pb $O_{2}$

(A)

A-III, B-I, C-IV, D-II

(B)

A-III, B-II, C-IV, D-I

(C)

A-IV, B-III, C-II, D-I

(D)

A-II, B-III, C-IV, D-I

Q61Single correctElectrochemistry

O_{2}

gas will be evolved as a product of electrolysis of: (A) an aqueous solution of AgN

O_{3}

using silver electrodes. (B) an aqueous solution of AgN

O_{3}

using platinum electrodes. (C) a dilute solution of

H_{2} S O_{4}

using platinum electrodes. (D) a high concentration solution of

H_{2} S O_{4}

using platinum electrodes. Choose the correct answer from the options given below:

(A)

(B) and (C) only

(B)

(A) and (D) only

(C)

(B) and (D) only

(D)

(A) and (C) only

Q62Single correctCoordination Compounds

Identify the homoleptic complexes with odd number of d electrons in the central metal. (A)

[FeO_{4}]^{2 -}

(B)

[Fe(CN)_{6}]^{3 -}

(C)

[Fe(CN)_{5} NO]^{2 -}

(D)

[CoCl_{4}]^{2 -}

(E)

[Co(H_{2} O)_{3} F_{3}]

Choose the correct answer from the options given below:

(A)

(B) and (D) only

(B)

(C)

(A), (B) and (D) only

(D)

(A), (C) and (E) only

Q63Single correctOrganic Chemistry

Total number of sigma (

σ

) _____ and pi (

π

) _____ bonds respectively present in hex-1-en-4-yne are:

(A)

13 and 3

(B)

11 and 3

(C)

3 and 13

(D)

14 and 3

Q64Single correctThermodynamics

If C(diamond)

\to

C(graphite) + X kJ mo

l^{- 1}

, C(diamond) +

O_{2}

(g)

\to

O_{2}

(g) + Y kJ mo

l^{- 1}

, C(graphite) +

O_{2}

(g)

\to

O_{2}

(g) + Z kJ mo

l^{- 1}

at constant temperature. Then

(A)

X = Y + Z

(B)

-X = Y + Z

(C)

X = -Y + Z

(D)

X = Y - Z

Q65Single correctAtomic Structure

Given below are two statements: Statement (I): It is impossible to specify simultaneously with arbitrary precision, both the linear momentum and the position of a particle. Statement (II): If the uncertainty in the measurement of position and uncertainty in measurement of momentum are equal for an electron, then the uncertainty in the measurement of velocity is

\geq \frac{h}{π} \times \frac{1}{2 m}

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

(A)

Statement I is true but Statement II is false.

(B)

Both Statement I and Statement II are true.

(C)

Statement I is false but Statement II is true.

(D)

Both Statement I and Statement II are false.

Q66Single correctOrganic Chemistry - Some Basic Principles and Techniques

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

(A)

(B)

(C)

(D)

Q67Single correctPhysical Chemistry - Chemical Kinetics

Drug X becomes ineffective after 50% decomposition. The original concentration of drug in a bottle was 16 mg/mL which becomes 4 mg/mL in 12 months. The expiry time of the drug in months is _____. Assume that the decomposition of the drug follows first order kinetics.

(A)

(B)

(C)

(D)

Q68Single correctPeriodic Table and Properties

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

(A)

A_{2} O_{3}

(B)

AO_{2}

(C)

AO

(D)

A_{2} O

Q69Single correctPeriodic Table and Properties

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

(A)

1012 kJ mol^{- 1}

(B)

1402 kJ mol^{- 1}

(C)

834 kJ mol^{- 1}

(D)

947 kJ mol^{- 1}

Q70Single correctOrganic Chemistry - Alcohols, Phenols and Ethers

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

(A)

(B)

(C)

(D)

Q71NumericalCoordination Chemistry

Consider the following low-spin complexes

K_{3} [C o (N O_{2})_{6}

K_{4} [F e (CN)_{6}

K_{3} [F e (CN)_{6}

], C

u_{2} [F e (CN)_{6}

] and Z

n_{2} [F e (CN)_{6}

]. The sum of the spin-only magnetic moment values of complexes having yellow colour is _______ B.M. (answer is nearest integer)

Q72NumericalOrganic Chemistry - Hydrocarbons

Isomeric hydrocarbons

\to

negative Baeyer's test (Molecular formula

C_{9} H_{12}

). The total number of isomers from above with four different non-aliphatic substitution sites is -

Q73NumericalOrganic Chemistry - Aldehydes, Ketones and Carboxylic Acids

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

Q74NumericalOrganic Chemistry - Some Basic Principles and Techniques

In the sulphur estimation, 0.20 g of a pure organic compound gave 0.40 g of barium sulphate. The percentage of sulphur in the compound is ____

\times 1 0^{- 1}

%. (Molar mass: O = 16, S = 32, Ba = 137 in g mo

l^{- 1}

)

Q75NumericalChemical Bonding and Molecular Structure

Total number of non bonded electrons present in NO

_{2}^{-}

ion based on Lewis theory is _____.

More JEE Main 2025 papers

Frequently Asked Questions

How many questions are in the JEE Main 2025 January 29, Shift 2 paper?

The JEE Main 2025 January 29, Shift 2 paper has 75 questions — Physics (25), Chemistry (25) and Mathematics (25). Every question is on this page with its correct answer and a step-by-step solution.

What is the marking scheme for JEE Main?

JEE Main awards +4 marks for each correct answer and −1 for a wrong answer, with 0 for questions left unattempted. The paper covers Physics, Chemistry and Mathematics.

Are the answer key and step-by-step solutions provided for the 2025 January 29, Shift 2 paper?

Yes — every question shows the correct answer (answer key) and a detailed step-by-step solution, free to read online.

Can I take the JEE Main 2025 January 29, Shift 2 paper as a timed mock test?

Yes. With a free JEEnify account you can attempt this exact paper as a timed test in the real exam interface, then see your score and weak-area analysis.

Solved this paper? Calculate your JEE Main score · most important chapters · formula sheets · all free tools.

Physics25 questions

Chemistry25 questions

Mathematics25 questions

More JEE Main 2025 papers

Frequently Asked Questions