JEE Main 2025 January 23, Shift 2 Question Paper with Solutions

Q: How many questions are in the JEE Main 2025 January 23, Shift 2 paper?

The JEE Main 2025 January 23, 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.

Q: 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.

Q: Are the answer key and step-by-step solutions provided for the 2025 January 23, Shift 2 paper?

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

Q: Can I take the JEE Main 2025 January 23, 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.

All 75 questions from the JEE Main 2025 (January 23, 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 correctMagnetic Effects of Current and Magnetism

A galvanometer having a coil of resistance

30Ω

need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be

\frac{30}{X} Ω

, where X is

(A)

596

(B)

149

(C)

298

(D)

447

Q27Single correctKinematics

A ball having kinetic energy KE, is projected at an angle of

6 0^{\circ}

from the horizontal. What will be the kinetic energy of ball at the highest point of its flight?

(A)

\frac{( KE )}{8}

(B)

\frac{( KE )}{2}

(C)

\frac{( KE )}{16}

(D)

\frac{( KE )}{4}

Q28Single correctElectrostatics

Two charges

7 μ C

and

- 4 μ C

are placed at

(- 7 cm, 0, 0)

and

(7 cm, 0, 0)

respectively. Given,

ϵ_{0} = 8.85 \times 1 0^{- 12} C^{2} N^{- 1} m^{- 2}

, the electrostatic potential energy of the charge configuration is:

(A)

-1.8 J

(B)

-2.0 J

(C)

-1.5 J

(D)

-1.2 J

Q29Single correctElectrostatics

Two point charges

- 4 μ C

and

4 μ C

, constituting an electric dipole, are placed at

(- 9, 0, 0) cm

and

(9, 0, 0) cm

in a uniform electric field of strength

1 0^{4} NC^{- 1}

. The work done on the dipole in rotating it from the equilibrium through

18 0^{\circ}

is:

(A)

18.4 mJ

(B)

14.4 mJ

(C)

12.4 mJ

(D)

16.4 mJ

Q30Single correctProperties of Solids and Liquids

A massless spring gets elongated by amount

x_{1}

under a tension of 5 N. Its elongation is

x_{2}

under the tension of 7 N. For the elongation of

(5 x_{1} - 2 x_{2})

, the tension required is:

(A)

39 N

(B)

15 N

(C)

11 N

(D)

20 N

Q31Single correctThermodynamics

Water of mass m gram is slowly heated to increase the temperature from

T_{1}

T_{2}

. The change in entropy of the water, given specific heat of water is

1 Jkg^{- 1} K^{- 1}

, is:

(A)

m ln (\frac{T _{2}}{T _{1}})

(B)

zero

(C)

m ln (\frac{T _{1}}{T _{2}})

(D)

m (T_{2} - T_{1})

Q32Single correctProperties of Solids and Liquids

Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is

P_{1}

. The reading of the pressure gauge falls to

P_{2}

when the valve is opened. The speed of water flowing in the pipe is proportional to

(A)

P_{1} - P_{2}

(B)

(P_{1} - P_{2})^{4}

(C)

(P_{1} - P_{2})^{2}

(D)

P_{1} - P_{2}

Q33Single correctOptics

A concave mirror of focal length f in air is dipped in a liquid of refractive index

μ

. Its focal length in the liquid will be:

(A)

μ f

(B)

f

(C)

\frac{f}{( μ - 1 )}

(D)

\frac{f}{μ}

Q34Single correctCurrent Electricity

What is the current through the battery in the circuit shown below

Circuit diagram showing a 5V battery connected to two 20Ω resistors in parallel

(A)

1.5

A

(B)

0.5

A

(C)

0.25

A

(D)

1.0

A

Q35Single correctOptics

The refractive index of the material of a glass prism is

3

. The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism?

(A)

6 0^{\circ}

(B)

5 8^{\circ}

(C)

4 8^{\circ}

(D)

5 0^{\circ}

Q36Single correctOptics

The width of one of the two slits in Young's double slit experiment is d while that of the other slit is xd. If the ratio of the maximum to the minimum intensity in the interference pattern on the screen is 9:4 then what is the value of x? (Assume that the field strength varies according to the slit width.)

(A)

(B)

(C)

(D)

Q37Single correctThermodynamics

Using the given P-V diagram, the work done by an ideal gas along the path ABCD is:

(A)

3 P_{0} V_{0}

(B)

4 P_{0} V_{0}

(C)

3 P_{0} V_{0}

(D)

4 P_{0} V_{0}

Q38Single correctElectromagnetic Waves

A plane electromagnetic wave of frequency 20 MHz travels in free space along the +x direction. At a particular point in space and time, the electric field vector of the wave is

E_{y} = 9.3 Vm^{- 1}

. The magnetic field vector of the wave is:

(A)

B_{z} = 6.2 \times 1 0^{- 8} T

(B)

B_{z} = 3.1 \times 1 0^{- 8} T

(C)

B_{z} = 1.55 \times 1 0^{- 8} T

(D)

B_{z} = 9.3 \times 1 0^{- 8} T

Q39Single correctOscillations and Waves

The equation of a transverse wave travelling along a string is

y (x, t) = 4.0 sin [20 \times 1 0^{- 3} x + 600 t] mm

, where x is in mm and t is in second. The velocity of the wave is:

(A)

-60

m/s

(B)

-30

m/s

(C)

+30

m/s

(D)

+60

m/s

Q40Single correctAtoms and Nuclei

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The binding energy per nucleon is found to be practically independent of the atomic number A, for nuclei with mass numbers between 30 and 170. Reason (R): Nuclear force is long range. In the light of the above statements, choose the correct answer from the options given below:

(A)

(A) is true but (R) is false

(B)

(A) is false but (R) is true

(C)

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

(D)

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

Q41Single correctGravitation

If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is the time period of rotation of the satellite? Given rotational time period of Moon = 27 days and gravitational attraction between the satellite and the moon is neglected.

(A)

days

(B)

day

(C)

days

(D)

days

Q42Single correctRotational Motion

A circular disk of radius R meter and mass M kg is rotating around the axis perpendicular to the disk. An external torque is applied to the disk such that

θ (t) = 5 t^{2} - 8 t

, where

θ (t)

is the angular position of the rotating disc as a function of time t. How much power is delivered by the applied torque, when

t = 2 s

(A)

72 M R^{2}

(B)

8 M R^{2}

(C)

108 M R^{2}

(D)

60 M R^{2}

Q43Single correctUnits and Measurements

The energy of a system is given as

E (t) = α^{3} e^{- βt}

, where t is the time and

β = 0.3 s^{- 1}

. The errors in the measurement of

α

and t are

1.2

% and 1.6%, respectively. At

t = 5 s

, maximum percentage error in the energy is:

(A)

6%

(B)

8.4%

(C)

11.6%

(D)

4%

Q44Single correctUnits and Measurements

Match List - I with List - II.

List - I	List - II
A. Permeability of free space	I. $[M L^{2} T^{- 2}]$
B. Magnetic field	II. $[M T^{- 2} A^{- 1}]$
C. Magnetic moment	III. $[M L T^{- 2} A^{- 2}]$
D. Torsional constant	IV. $[L^{2} A]$

(A)

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

(B)

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

(C)

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

(D)

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

Q45Single correctDual Nature of Matter and Radiation

In photoelectric effect an em-wave is incident on a metal surface and electrons are ejected from the surface. If the work function of the metal is

2.14 eV

and stopping potential is

2 V

, what is the wavelength of the em-wave? (Given

h c = 1242 eV \cdot nm

where h is the Planck's constant and c is the speed of light in vacuum.)

(A)

300 nm

(B)

400 nm

(C)

600 nm

(D)

200 nm

Q46NumericalElectromagnetic Induction and Alternating Currents

A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance

2.5 μ F

. The dielectric constant of the medium is 5. The current is:

Q47NumericalElectromagnetic Induction and Alternating Currents

In a series LCR circuit, a resistor of

300 Ω

, a capacitor of

25 nF

and an inductor of

100 mH

are used. The angular frequency at resonance is:

Q48NumericalProperties of Solids and Liquids

An air bubble of radius

1.0 mm

is observed at a depth of

20 cm

below the free surface of a liquid having surface tension

0.075 Nm^{- 1}

and density

1 0^{3} kgm^{- 3}

. The difference in pressure is:

Q49NumericalGravitation

A satellite of mass

\frac{M}{2}

is revolving around earth in a circular orbit at a height of

\frac{R}{3}

from earth surface. The angular momentum of the satellite is

M \frac{GMR}{x}

. The value of x is ______, where M and R are the mass and radius of earth, respectively. (G is the gravitational constant)

Q50NumericalCurrent Electricity

At steady state the charge on the capacitor, as shown in the circuit below, is _____

μ C

Chemistry25 questions

Q51Single correctOrganic Compounds Containing Oxygen

Identify the products [A] and [B], respectively in the following reaction:

Chlorobenzene reacting with (i) NaOH, 623 K, 300 atm then Na₂Cr₂O₇/H₂SO₄ to form [A], then (ii) H⁺ to form [B]

(A)

Benzene ring and phenol (benzene with -OH group) as [B]

Benzene with phenol ([B]) structure

(B)

Phenol (-OH on benzene) and p-benzoquinone (cyclic diketone structure) as [B]

Phenol and p-benzoquinone structures

(C)

Phenol as [A] and sodium phenoxide (O⁻Na⁺ on benzene) as [B]

Phenol ([A]) and sodium phenoxide ([B]) structures

(D)

Benzene ring and cyclohexanone (6-membered ring with C=O) as [B]

Benzene and cyclohexanone structures

Q52Single correctd- and f-Block Elements

Consider the following reactions:

K_{2} Cr_{2} O_{7} KOH, - H_{2} O [A] H_{2} SO_{4}, - H_{2} O CrO_{3}

. The sum of spin only magnetic moments of the compounds A and B is:

(A)

K_{2} CrO_{4}

and

CrO

(B)

K_{2} CrO_{4}

and

Cr_{2} O_{3}

(C)

K_{2} CrO_{4}

and

K_{2} Cr_{2} O_{7}

(D)

K_{2} Cr(OH)_{6}

and

Cr_{2} O_{3}

Q53Single correctChemical Thermodynamics

The effect of temperature on spontaneity of reactions are represented as:

Table showing ΔH, ΔS, Temperature, and Spontaneity columns with four rows (A), (B), (C), (D)

(A)

(B) and (C) only

(B)

(B) and (D) only

(C)

(A) and (D) only

(D)

(A) and (C) only

Q54Single correctChemical Kinetics

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

(A)

Linear decreasing graph of Reactant Concentration vs Time

Graph showing linear decrease of Reactant Concentration vs Time

(B)

Graph showing linear decrease of Rate vs Time

(C)

Horizontal line graph of Reactant Concentration vs Time

Graph showing constant Reactant Concentration vs Time

(D)

Graph showing exponential decrease of Rate vs Time

Q55Single correctEquilibrium

Consider the reaction

X_{2} Y (g) ⇌ X_{2} (g) + \frac{1}{2} Y_{2} (g)

. The equation representing correct relationship between the degree of dissociation (x) of

X_{2} Y

and equilibrium constant (

K_{p}

) is:

(A)

x =

3 \frac{2 K _{p}}{p}

(B)

x =

3 \frac{2 K _{p}^{2}}{p}

(C)

x =

3 \frac{K _{p}}{p}

(D)

x =

3 \frac{K _{p}}{2 p}

Q56Single correctOrganic Compounds Containing Oxygen

Given below are two statements: Consider the following reaction for hydration of aldehydes and ketones.

Carbonyl compound (R-CO-R) reacting with water in equilibrium to form geminal diol (R-C(OH)₂-R) with equilibrium constant K

(A)

Both Statement I and Statement II are false

(B)

Statement I is true but Statement II is false

(C)

Statement I is false but Statement II is true

(D)

Both Statement I and Statement II are true

Q57Single correctAtomic Structure

Given below are two statements: Statement (I): For a given shell, the total number of allowed orbitals is given by n². Statement (II): For any subshell, the spatial orientation of the orbitals is given by -l to +l values including zero. 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

Q58Single correctRedox Reactions and Electrochemistry

Standard electrode potentials for a few half cells are mentioned below:

E_{Cu^{2 +} / Cu}^{\circ} = 0.34 V

E_{Zn^{2 +} / Zn}^{\circ} = - 0.76 V

E_{Ag^{+} / Ag}^{\circ} = 0.80 V

. The galvanic cell that gives the highest voltage is:

(A)

Zn ∣ Zn^{2 +} (1 M) ∣∣ Ag^{+} (1 M) ∣ Ag

(B)

Zn ∣ Zn^{2 +} (1 M) ∣∣ Mg^{2 +} (1 M) ∣ Mg

(C)

Ag ∣ Ag^{+} (1 M) ∣∣ Mg^{2 +} (1 M) ∣ Mg

(D)

Cu ∣ Cu^{2 +} (1 M) ∣∣ Ag^{+} (1 M) ∣ Ag

Q59Single correctBiomolecules

The

α

-Helix and

β

-Pleated sheet structures of protein are associated with its:

(A)

tertiary structure

(B)

quaternary structure

(C)

secondary structure

(D)

primary structure

Q60Single correctp-Block Elements

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

(A)

(B)

(C)

(D)

Q61Single correctAtomic Structure

Given below are two statements about X-ray spectra of elements: Statement (I): A plot of

v

(v =

frequency of X-rays emitted

) vs atomic mass is a straight line. Statement (II): A plot of v (v =

frequency of X-rays emitted

) vs atomic number is a straight line. In the light of the above statements, choose the correct answer from the options given below:

(A)

Both Statement I and Statement II are true

(B)

Statement I is false but Statement II is true

(C)

Both Statement I and Statement II are false

(D)

Statement I is true but Statement II is false

Q62Single correctPrinciples Related to Practical Chemistry

Identify A, B and C in the given below reaction sequence:

A HNO_{3} Pb(NO_{3})_{2} H_{2} SO_{4} B Δ C

(A)

PbCl_{2}

PbSO_{4}

PbCrO_{4}

(B)

PbS

PbSO_{4}

Pb(CH_{3} COO)_{2}

(C)

PbCl_{2}

Pb(SO_{4})_{2}

PbCrO_{4}

(D)

PbS

PbSO_{4}

PbCrO_{4}

Q63Single correctOrganic Compounds Containing Oxygen

Given below are two statements: Statement (I): The boiling points of alcohols and phenols increase with increase in the number of C-atoms. Statement (II): The boiling points of alcohols and phenols are higher in comparison to other class of compounds such as ethers, haloalkanes. 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)

Both Statement I and Statement II are true

(C)

Statement I is false but Statement II is true

(D)

Statement I is true but Statement II is false

Q64Single correctSolutions

Consider a binary solution of two volatile liquid components 1 and 2.

x_{1}

and

y_{1}

are the mole fractions of component 1 in liquid and vapour phase, respectively. The slope and intercept of the graph are:

(A)

\frac{P _{2}^{0}}{P _{1}^{0}}

\frac{P _{2}^{0} - P _{1}^{0}}{P _{2}^{0}}

(B)

\frac{P _{1}^{0}}{P _{2}^{0}}

\frac{P _{2}^{0} - P _{1}^{0}}{P _{2}^{0}}

(C)

\frac{P _{1}^{0}}{P _{2}^{0}}

\frac{P _{1}^{0} - P _{2}^{0}}{P _{2}^{0}}

(D)

\frac{P _{2}^{0}}{P _{1}^{0}}

\frac{P _{1}^{0} - P _{2}^{0}}{P _{2}^{0}}

Q65Single correctOrganic Compounds Containing Halogens

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

Four organic bromide structures (A), (B), (C), (D) showing different positions and environments of Br atom

(A)

(B)

(D) < (A) < (B) < (C)

(C)

(D) < (B) < (A) < (C)

(D)

Q66Single correctd- and f-Block Elements

Match List - I with List - II.

(A)

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

(B)

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

(C)

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

(D)

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

Q67Single correctHydrocarbons

Match List - I with List - II.

Isomers of C₁₀H₁₄	Ozonolysis product
(A)	(I)
(B)	(II)
(C)	(III)
(D)	(IV)

Cyclic aromatic isomers with methyl substituents and their ozonolysis products showing dicarbonyl compounds

(A)

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

(B)

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

(C)

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

(D)

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

Q68Single correctEquilibrium

pH of water is 7 at

2 5^{\circ} C

. If water is heated to

8 0^{\circ} C

, its pH will:

(A)

Decrease

(B)

H^{+}

concentration increases,

OH^{-}

concentration decreases

(C)

Remains the same

(D)

Increase

Q69Single correctCoordination Compounds

Identify the coordination complexes in which the central metal ion has

d^{4}

configuration.

Coordination complexes with different metal centers and ligands

(A)

(B), (C)

and

(D)

only

(B)

(C)

and

(E)

only

(C)

(B)

and

(D)

only

(D)

(A), (B)

and

(E)

only

Q70Single correctSolutions

When a non-volatile solute is added to the solvent, the vapour pressure of the solvent decreases by 10 mm of Hg. The mole fraction of the solute in the solution is 0.2. What would be the mole fraction of the solvent if decrease in vapour pressure is 20 mm of Hg?

(A)

0.8

(B)

0.4

(C)

0.2

(D)

0.6

Q71NumericalSome Basic Concepts in Chemistry

0.01

mole of an organic compound (X) containing

10

% hydrogen, on complete combustion produced

0.9 g H_{2} O

. Molar mass of X is:

Q72NumericalHydrocarbons

A compound 'X' absorbs 2 moles of hydrogen and 'X' upon oxidation with

KMnO_{4} ∣ H^{+}

gives

CH_{3} -C-CH_{3}

CH_{3} -C-OH

. The compound X is:

Ketone and carboxylic acid products from oxidation

Q73NumericalSome Basic Concepts in Chemistry

When

81.0 g

of aluminium is allowed to react with

128.0 g

of oxygen gas, the mass of aluminium oxide produced in grams is _____.

Q74NumericalChemical Thermodynamics

The bond dissociation enthalpy of

X_{2}

Δ H_{bond}

, calculated from the given data is _____

kJ mol^{- 1}

. (Nearest integer).

M^{+} X^{-} (s) \to M^{+} (g) + X^{-} (g)

Δ H_{lattice}^{*} = 800 kJ mol^{- 1}

M (s) \to M (g)

Δ H_{sub}^{\circ} = 100 kJ mol^{- 1}

M (g) \to M^{+} (g) + e^{-} (g)

Δ H_{i} = 500 kJ mol^{- 1}

X (g) + e^{-} (g) \to X^{-} (g)

Δ H_{eg}^{*} = - 300 kJ mol^{- 1}

M (s) + \frac{1}{2} X_{2} (g) \to M^{+} X^{-} (s)

Δ H_{f}^{\circ} = - 400 kJ mol^{- 1}

. [Given:

M^{+} X^{-}

is a pure ionic compound and X forms a diatomic molecule

X_{2}

in gaseous state]

Q75NumericalOrganic Compounds Containing Nitrogen

Consider the following sequence of reactions. Total number of

sp^{3}

hybridised carbon atoms in the major product C formed is _____.

p-ethoxyaniline converted to diazonium salt, then coupled with phenol, followed by Williamson ether synthesis with propyl bromide, forming C₁₆H₁₈N₂O₂

More JEE Main 2025 papers

Frequently Asked Questions

How many questions are in the JEE Main 2025 January 23, Shift 2 paper?

The JEE Main 2025 January 23, 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 23, 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 23, 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

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