JEE Main 2025 April 4 Shift 2 Physics Question Paper, Exam Analysis, and Answer Keys (Available)

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Shivam Yadav

Updated on - Nov 26, 2025

JEE Main 2025 April 4 Physics Question Paper is available for download. NTA conducted JEE Main 2025 Shift 1 B.Tech Exam on 4 April 2025 from 9:00 AM to 12:00 PM and for JEE Main 2025 B.Tech Shift 2 appearing candidates from 3:00 PM to 6:00 PM. The JEE Main 2025 3rd April B.Tech Question Paper was Moderate to Tough.

Also Check: JEE Main 2025 Question Paper with Solution PDF Download

JEE Main 2025 April 4 Shift 2 Physics Question Paper with Solutions

JEE Main 2025 April 4 Shift 2 Physics Question Paper Pdf Download PDF View Solution
jee main 2025 4 april shift 2

JEE Main 2025 Physics Questions with Solutions

Question 1:

A radioactive material P first decays into Q and then Q decays to non-radioactive material R. Which of the following figure represents time dependent mass of P, Q and R?

image


Question 2:

There are ‘n’ number of identical electric bulbs, each is designed to draw a power \( p \) independently from the mains supply. They are now joined in series across the main supply. The total power drawn by the combination is:

  • (1) \( np \)
  • (2) \( \frac{p}{n^2} \)
  • (3) \( \frac{p}{n} \)
  • (4) \( p \)

Question 3:

Consider a rectangular sheet of solid material of length \( \ell = 9 \) cm and width \( d = 4 \) cm. The coefficient of linear expansion is \( \alpha = 3.1 \times 10^{-5} \) K\(^{-1}\) at room temperature and one atmospheric pressure. The mass of the sheet is \( m = 0.1 \) kg and the specific heat capacity \( C_v = 900 \) J kg\(^{-1}\)K\(^{-1}\). If the amount of heat supplied to the material is \( 8.1 \times 10^2 \) J, then the change in area of the rectangular sheet is:

  • (1) \( 2.0 \times 10^{-6} \, m^2 \)
  • (2) \( 3.0 \times 10^{-7} \, m^2 \)
  • (3) \( 6.0 \times 10^{-7} \, m^2 \)
  • (4) \( 4.0 \times 10^{-7} \, m^2 \)

Question 4:

Given below are two statements:

Statement (I) : The dimensions of Planck’s constant and angular momentum are same.

Statement (II) : In Bohr’s model, electron revolves around the nucleus in those orbits for which angular momentum is an integral multiple of Planck’s constant.

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

  • (1) Both Statement I and Statement II are correct
  • (2) Statement I is incorrect but Statement II is correct
  • (3) Statement I is correct but Statement II is incorrect
  • (4) Both Statement I and Statement II are incorrect

Question 5:

A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear force of \( 10^5 \) N at the top. Considering infinitesimally small displacement in the upper edge, the angular displacement \( \theta \) of the rod axis from its original position would be: (shear moduli \( G = 10^{10} \) N/m\(^2\))

  • (1) \( \frac{1}{160\pi} \)
  • (2) \( \frac{1}{4\pi} \)
  • (3) \( \frac{1}{40\pi} \)
  • (4) \( \frac{1}{2\pi} \)

Question 6:

From the combination of resistors with resistance values \( R_1 = R_2 = R_3 = 5 \, \Omega \) and \( R_4 = 10 \, \Omega \), which of the following combination is the best circuit to get an equivalent resistance of 6 \( \Omega \)?

image


Question 7:

A metallic ring is uniformly charged as shown in the figure. AC and BD are two mutually perpendicular diameters. Electric field due to arc AB to O is ‘E’ magnitude. What would be the magnitude of electric field at ‘O’ due to arc ABC?

image

  • (1) \( 2E \)
  • (2) \( \sqrt{2}E \)
  • (3) \( E/2 \)
  • (4) Zero

Question 8:

There are two vessels filled with an ideal gas where volume of one is double the volume of the other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kPa at 500 K. If the vessels are connected to each other by a thin tube allowing the gas to flow and the temperature of both vessels is maintained at 600 K, at steady state the pressure in the vessels will be (in kPa).

  • (1) 4.4
  • (2) 6
  • (3) 24
  • (4) 18

Question 9:

An object is kept at rest at a distance of 3R above the earth’s surface where \( R \) is earth’s radius. The minimum speed with which it must be projected so that it does not return to earth is: (Assume \( M \) = mass of earth, \( G \) = Universal gravitational constant)

  • (1) \( \sqrt{\frac{GM}{2R}} \)
  • (2) \( \sqrt{\frac{GM}{R}} \)
  • (3) \( \sqrt{\frac{3GM}{R}} \)
  • (4) \( \sqrt{\frac{2GM}{R}} \)

Question 10:

Three parallel plate capacitors \( C_1 \), \( C_2 \), and \( C_3 \) each of capacitance 5 µF are connected as shown in the figure. The effective capacitance between points A and B, when the space between the parallel plates of \( C_1 \) capacitor is filled with a dielectric medium having dielectric constant of 4, is:

image

  • (1) 22.5 µF
  • (2) 7.5 µF
  • (3) 9 µF
  • (4) 30 µF

Question 11:

The displacement \( x \) versus time graph is shown below.

image

The displacement \( x \) is plotted against time \( t \). Choose the correct answer from the options given below:

  • (A) The average velocity during 0 to 3 s is 10 m/s
  • (B) The average velocity during 3 to 5 s is 0 m/s
  • (C) The instantaneous velocity at \( t = 2 \) s is 5 m/s
  • (D) The average velocity during 5 to 7 s is the same as instantaneous velocity at \( t = 6.5 \) s
  • (E) The average velocity from \( t = 0 \) to \( t = 9 \) s is zero
  • Choose the correct answer from the options given below:
  • (1) (A), (D), (E) only
  • (2) (B), (C), (D) only
  • (3) (B), (D), (E) only
  • (4) (B), (C), (E) only

Question 12:

A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim is 8 m/s. The speed of the particle on the rim of the wheel at the same level as the center of the wheel, will be:

  • (1) \( 4\sqrt{2} \, m/s \)
  • (2) 8 m/s
  • (3) 4 m/s
  • (4) \( 8\sqrt{2} \, m/s \)

Question 13:

For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal divisions equals to 15 cm. The vernier scale attached to the microscope has 25 divisions equals to 24 divisions of main scale. The least count (LC) of the travelling microscope is (in cm):

  • (1) 0.001
  • (2) 0.002
  • (3) 0.0005
  • (4) 0.0025

Question 14:

A block of mass 25 kg is pulled along a horizontal surface by a force at an angle \( 45^\circ \) with the horizontal. The friction coefficient between the block and the surface is 0.25. The displacement of 5 m of the block is:

  • (1) 970 J
  • (2) 735 J
  • (3) 245 J
  • (4) 490 J

Question 15:

Two polarisers \( P_1 \) and \( P_2 \) are placed in such a way that the intensity of the transmitted light will be zero. A third polariser \( P_3 \) is inserted in between \( P_1 \) and \( P_2 \), at the particular angle between \( P_1 \) and \( P_2 \). The transmitted intensity of the light passing the through all three polarisers is maximum. The angle between the polarisers \( P_2 \) and \( P_3 \) is:

  • (1) \( \frac{\pi}{4} \)
  • (2) \( \frac{\pi}{6} \)
  • (3) \( \frac{\pi}{8} \)
  • (4) \( \frac{\pi}{3} \)

Question 16:

Consider a n-type semiconductor in which \( n_e \) and \( n_h \) are the number of electrons and holes, respectively.

  • (A) Holes are minority carriers
  • (B) The dopant is a pentavalent atom
  • (C) \( n_e n_h = n_i^2 \) for intrinsic semiconductor
  • (D) \( n_e \gg n_h \) for extrinsic semiconductor The correct answer from the options given below is:
  • (1) (A) and (C) only
  • (2) (B) and (D) only
  • (3) (A), (B) and (C) only
  • (4) (A), (C) and (D) only

Question 17:

Match List-I with List-II.

\begin{tabbing
List-I \hspace{1cm \= List-II \hspace{1cm \= \kill

  • (A) Isobaric \> \hspace{2cm} (I) \( \Delta Q = \Delta W \)
  • (B) Isochoric \> \hspace{2cm} (II) \( \Delta Q = \Delta U \)
  • (C) Adiabatic \> \hspace{2cm} (III) \( \Delta Q = 0 \)
  • (D) Isothermal \> \hspace{2cm} (IV) \( \Delta Q = \Delta U + P\Delta V \) \end{tabbing} \textbf{Choose the correct answer from the options given below:}
  • (1) (A)-(IV), (B)-(III), (C)-(II), (D)-(I)
  • (2) (A)-(IV), (B)-(I), (C)-(III), (D)-(II)
  • (3) (A)-(IV), (B)-(II), (C)-(III), (D)-(I)
  • (4) (A)-(I), (B)-(II), (C)-(IV), (D)-(III)

Question 18:

Displacement of a wave is expressed as \[ x(t) = 5 \cos \left( 628t + \frac{\pi}{2} \right) \, m. \]
The wavelength of the wave when its velocity is 300 m/s is:

  • (1) 5 m
  • (2) 0.5 m
  • (3) 0.33 m
  • (4) 0.33 m

Question 19:

A finite size object is placed normal to the principal axis at a distance of 30 cm from a convex mirror of focal length 30 cm. A plane mirror is now placed in such a way that the image produced by both the mirrors coincide with each other. The distance between the two mirrors is:

  • (1) 45 cm
  • (2) 7.5 cm
  • (3) 22.5 cm
  • (4) 15 cm

Question 20:

In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimensions of [M\( L^2 T^{-3} A^{-1}]\). The value of P and Q are:

  • (1) 1, 0
  • (2) 1, -1
  • (3) 1, 1
  • (4) 0, -1

Question 21:

A particle of charge 1.6 \(\mu\)C and mass 16 \(\mu\)g is present in a strong magnetic field of 6.28 T. The particle is then fired perpendicular to magnetic field. The time required for the particle to return to original location for the first time is _______ s. (Take \( \pi = 3.14 \))


Question 22:

A solid sphere with uniform density and radius \( R \) is rotating initially with constant angular velocity (\( \omega_1 \)) about its diameter. After some time during the rotation, it starts losing mass at a uniform rate, with no change in its shape. The angular velocity of the sphere when its radius becomes \( \frac{R}{2} \) is \( \omega_2 \). The value of \( x \) is ________.


Question 23:

If an optical medium possesses a relative permeability of \( \frac{10}{\pi} \) and relative permittivity of \( \frac{1}{0.0885} \), then the velocity of light is greater in vacuum than in that medium by ________ times. \[ (\mu_0 = 4\pi \times 10^{-7} \, H/m, \quad \epsilon_0 = 8.85 \times 10^{-12} \, F/m, \quad c = 3 \times 10^8 \, m/s) \]


Question 24:

In a Young's double slit experiment, two slits are located 1.5 m apart. The distance of screen from slits is 2 m and the wavelength of the source is 400 nm. If the 20 maxima of the double slit pattern are contained within the centre maximum of the single slit diffraction pattern, then the width of each slit is \( x \times 10^{-3} \, cm \), where x-value is:


Question 25:

An inductor of self inductance 1 H connected in series with a resistor of 100 \( \Omega \) and an AC supply of 10 V, 50 Hz. Maximum current flowing in the circuit is:

  • (1) 1 A


JEE Main Questions

  • 1.
    For a diatomic gas, if \( \gamma_1 = \frac{C_P}{C_V} \) for rigid molecules and \( \gamma_2 = \frac{C_P}{C_V} \) for another diatomic molecules, but also having vibrational modes. Then, which one of the following options is correct? (where \( C_P \) and \( C_V \) are specific heats of the gas at constant pressure and volume)

      • \( \gamma_2 = \gamma_1 \)
      • \( \gamma_2>\gamma_1 \)
      • \( 2 \gamma_2 = \gamma_1 \)
      • \( \gamma_2<\gamma_1 \)

    • 2.
      A diatomic gas (\( \gamma = 1.4 \)) does 100 J of work in an isobaric expansion. The heat given to the gas is:

        • 350 J
        • 490 J
        • 150 J
        • 250 J

      • 3.
        From the statements given below :
        (A) The angular momentum of an electron in nth orbit is an integral multiple of h.
        (B) Nuclear forces do not obey inverse square law.
        (C) Nuclear forces are spin dependent.
        (D) Nuclear forces are central and charge independent.
        (E) Stability of nucleus is inversely proportional to the value of packing fraction.
        Choose the correct answer from the options given below :

          • (A), (B), (C), (D) only
          • (A), (C), (D), (E) only
          • (A), (B), (C), (E) only
          • (B), (C), (D), (E) only

        • 4.

          Match List-I with List-II.

          Choose the correct answer from the options given below :

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

          • 5.
            Given are statements for certain thermodynamic variables: \begin{itemize} \item[(A)] Internal energy, volume \( V \), and mass \( M \) are extensive variables. \item[(B)] Pressure \( P \), temperature \( T \), and density \( \rho \) are intensive variables. \item[(C)] Volume \( V \), temperature \( T \), and density \( \rho \) are intensive variables. \item[(D)] Mass \( M \), temperature \( T \), and internal energy are extensive variables. \end{itemize} Choose the correct answer from the options given below:

              • (B) and (C) Only
              • (C) and (D) Only
              • (D) and (A) Only
              • (A) and (B) Only

            • 6.
              A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

                • 29 RT
                • 20 RT
                • 27 RT
                • 21 RT

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