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Question for IIT JAM Physics - Quiz / Questions / MCQ in English

Last Update on : October 12, 2026

Duration: 180 · Questions: 60 · Max Marks: 60

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Latest IIT JAM Physics Exam Question (Objective Questions), MCQ in English

Subjects : SECTION A - MULTIPLE CHOICE QUESTION, SECTION B - MULTIPLE SELECT QUESTIONS, SECTION C - NUMERICAL ANSWER TYPE QUESTIONS (NATQS)

Question Bank IIT JAM Physics Exam - English

SECTION A - MULTIPLE CHOICE QUESTION

Q 1 :
The equation â€‹ in the complex plane (where, is the complex conjugate of z) represents
  1. A.ellipse
  2. B.hyperbola
  3. C.circle of radius 2
  4. D.circle of radius 4
Q 2 :
A rocket (S') moves at a speed c/2 m/s along the positive X-Axis, where C is the speed of light. When it crosses the origin, the clocks attached to the rocket and the one with a stationary observe (S) located at x = 0 are both set to zero. If S observes an event at (x, t), the same event occurs in the S' frame at
    Q 3 :
    Consider a classical ideal gas of N molecules in equilibrium at temperature T. Each molecule has two energy levels - ε
    1. A.zero
    2. B.N ε tan h (ε/ kBT)
    3. C.–Nε tan h (ε/KBT)
    4. D.ε/2
    Q 4 :
    At a temperature T, lat β let k denote the value expansivity and isothermal compressibility of a gas, respectively. Then, â€‹ is equal to
      Q 5 :
      Consider a particle trapped in a three – dimensional potential well such that U(x, y, z) = 0 for and 0 ≤ x ≤ a, 0 ≤ a, 0 ≤ z ≤ a and U(x, y, z) = ∞ everywhere else. the degeneracy of the 5th excited state is
      1. A.1
      2. B.3
      3. C.6
      4. D.9
      Q 6 :
      A particle of mass m and angular momentum L moves in space, where its potential energy is U(r) = kr² (k > 0) are r is the radial coordinate. If the particle moves in a circular orbit, then the radius of the orbit is
        Q 7 :
        Consider a two – dimensional force field ​If the force field is conservative, then the value of a and b are
        1. A.a = 2 and b = 4
        2. B.a = 2 and b = 8
        3. C.a = 4 and b = 2
        4. D.a = 8 and b = 2
        Q 8 :
        Consider an electrostatic field E in a region of space. identify the incorrect statement.
        1. A.The work done in moving a chage in a closed path inside the region is zero
        2. B.the curl of E is zero
        3. C.The field can be expressed as the gradient of a scalar potential
        4. D.The potential difference between any two points in the region is always zero
        Q 9 :
        Which one of the following figures correctly depicts the intensity distribution for Fraunhofer diffraction due to a single slit ? here, x denote the distance from the center of the central fringe and I denotes the intensity.
          Q 10 :
          The function f (x) = esinx is expanded as a Taylor series in x, around x = 0, in the from â€‹
          1. A.0
          2. B.3/2
          3. C.5/2
          4. D.5
          Q 11 :
          A planet is in a highly eccentric orbit about a star. The distance of its closest approach is 300 times smaller than its farthest distance from the star. If the corresponding speeds are Vc and vf, then vc / vf is
          1. C.300
          Q 12 :
          For the given circuit, VD is the threshold voltage of diode. The graph that best depicts the variation of Vout with Vin is
          ​
            Q 13 :
            The moment of ienrtia of a solid sphere (radius R and mass M) about the axis which is at a distance of R/2 from the centre is
              Q 14 :
              Metallic lithium has bcc crystal structure . Each unit cell is a cube of side a. The numbe of atoms per unit volume is
                Q 15 :
                Let M be a 2 × 2 matrix. Its trace is 6 and its determinant hav value 8. Its eigen values are
                1. A.3 and 3
                2. B.−2 and −3
                3. C.2 and 6
                4. D.2 and 4
                Q 16 :
                Arrange the following telescopes, where D is the telescope's diameter and λ is the wavelength, in order of decreasing resolving power
                1. D = 100 m, λ = 21 cm      2. D = 2 m, λ = 500 nm
                3. D = 1m, λ = 100 nm        4. D = 2 m, λ = 10 mm
                1. A.3, 2, 4, 1
                2. B.4, 3, 2, 1
                3. C.2, 3, 1, 4
                4. D.3, 2, 1, 4
                Q 17 :
                The function ecos x is Taylor expanded about x = 0. The co- effieicent of x² is
                1. A.e/2
                2. B.– 1/2
                3. C.zero
                4. D.–e/2
                Q 18 :
                For a semiconductor material, the conventional flat band energy diagram is shown in the figure.
                ​
                The variables Y,X, respectively, are
                1. A.distance, energy
                2. B.momentum, energy
                3. C.energy, momentum
                4. D.energy, distance
                Q 19 :
                An experiment with a Michelson interferometer is erformed in vacuum using a laser of wavelength 610 nm. One of the beams of the interferometer passes through a small glass cavity 1.3 cm long. After the cavity is completely filled with a medium of refractive index n, 472 dark fringes are counted to move past a reference line. Given that, the speed of light is 3 × 108 m/s, the value of 77 is
                1. A.1.01
                2. B.1.10
                3. C.1.06
                4. D.1.04
                Q 20 :
                An object of density p is floating is a liquid with 75% of its volume submerged. The density of the liquid is
                1. D.2P
                Q 21 :
                The solution y(x) of the differential equation is described by
                1. A.a circle
                2. B.a straight line
                3. C.an ellipse
                4. D.a parabola
                Q 22 :
                A particle, initially at the origin in an inertial frame S, has a constant velocity Frame S' is rotating about the Z – axis with angular velocity ω (anti – clockwise). The coordinate axes of S' coincide with those of S at t = 0. The velocity of the particle (v'x, v'y) in the S' frame, at â€‹ is.
                1. B.(−v, −v)
                Q 23 :
                A system undergoes a thermodynamic transformation from state s1 to state S2 via two different paths 1 and 2. The heat absorbed and work done along path 1 are 50J and 30J, respectively. If the heat absorbed along path 2 is 30 J, the work done along path 2 is
                1. A.zero
                2. B.10J
                3. C.20J
                4. D.30 J
                Q 24 :
                In the figure below, point A is the object and point B is the image formed by the lens. Let ​, denote the optical path lengths of the three rays 1, 2 and 3, respectively. Identify the correct statement.
                  Q 25 :
                  The condition for maxima in the interference of two waves 
                  ​is given in terms of the wavelength λ and m, an integer by
                    Q 26 :
                    The radial component of acceleration in plane polar coordinates is given is given by
                      Q 27 :
                      For the given circuit, the output Y is
                      ​
                      1. A.0
                      2. B.A
                      3. C.​
                      4. D.1
                      Q 28 :
                      The electric field of an electromagnetic wave has the form At t = 0, a test particle of charge q is at z = 0 and has velocity â€‹ where c is the speed of light. The total instantaneous force on the particle is
                      1. B.zero
                      Q 29 :
                      A linearly polarised light falls on a quarter wave plate and the emerging light is found to be ellipitically polarised. The angle between the fast axis of the quarter wave plate and the plane of polarisation of the incident light, can be
                      1. A.180°
                      2. B.90°
                      3. C.45°
                      4. D.30°
                      Q 30 :
                      A thin circular disc lying in the xy-plane has a surface mass density σ, given by
                      ​
                      When, r is the distance from its centre, its moment of inertia about the Z – axis , passing through its centre is

                        SECTION B - MULTIPLE SELECT QUESTIONS

                        Q 31 :
                        Consider the 2 × 2 matrix ​, where a, b > 0. Then,
                        1. A.M is a real symmetric matrix
                        2. B.One of the eigenvalues of M is greater than b
                        3. C.One of the eigenvalues of M is negative
                        4. D.Product of eigenvalue of M is b
                        Q 32 :
                        In the Compton scattering to electrons, by photons incident with wavelngth λ,
                        1. A.Δλ / λ is independent of λ
                        2. B.Δλ/ λ increases with decreasing λ
                        3. C.there is no change in photon's wavelength for all angles of deflection of the photon
                        4. D.Δλ / λ increases with increasing angles of deflection of the photon
                        Q 33 :
                        A particle is executing simple harmonic motion with time period T. let x, v and a denote the displacement, velocity and acceleration of the particle respectively, at time t. Then.
                        1. A.aT/ x does not change with time
                        2. B.(aT + 2πrV) does not change with time
                        3. C.x and v are related by an equation of a straight line
                        4. D.v and a are related by an equation of an ellipse
                        Q 34 :
                        A linearly plarised light beam travels from origin to point A(1, 0, 0). At the point A, the light is reflected by a mirror toward point B(1, −1, 0). A second mirror located at point B, then reflects the light toward point C(1, −1, 1). Let â€‹ represent the direction of polarisation of light at (x, y, z).
                        1. A.​
                        Q 35 :
                        Let (r, θ) denote the polar coordinates of a particle moving in a plane. If  represent the corresponding unit vectors, then
                          Q 36 :
                          A carnot engine operates between two temperatures, TL – 100 K and TH = 150K. Each cycle of the engine lasts for 0.5 s during which the power delivered is 500 J/s. let QH be the corresponding heat absorbed by the engine and QL be the heat lost. Identify the correct statement(s).
                          1. B.The change in entropy of the engine and the hot bat in a cycle is 5J/K
                          2. C.QH = 750J
                          3. D.The change in entropy of the engine in 0.5 s is zero
                          Q 37 :
                          An isolated ideal gas is kept at a pressure p1 and volume V1. The gas undergoes free expansion and attains a pressure p2 and volume V2. identify the correct statement 
                          ​
                          1. A.​
                          2. B.This is an adiabatic process
                          3. C.​
                          4. D.This is an isobaric process
                          Q 38 :
                          A time dependent conservative force F has the form, â€‹ Its magnitude at x = y = 0 is 8. The allowed form (s) of (x, y) is/are
                          1. A.3x + 8
                          2. B.3x + 8e−y²
                          3. C.2x + 8 cos y
                          4. D.2x + 8(y – 1)²
                          Q 39 :
                          A particle of mass m is in an infinite square well potential of length L. It is in a superposed state of the first two energy eigenstates, as given by Identity the correct statement (s). (h is Planck's constant)
                            Q 40 :
                            For the givencircuit, identity the correct statement(s).
                            ​
                            1. A.​
                            2. B.​
                            3. C.If RL is doubled, V0 will change to 6V
                            4. D.If RL is doubled, l0 will change to 0.5 mA

                            SECTION C - NUMERICAL ANSWER TYPE QUESTIONS (NATQS)

                            Q 41 :
                            The integral over the area of disk of radius 2 in the X-Y plane is .........π.
                              Q 42 :
                              For the given operational amplifier circuit R1 = 120 Ω, R2 = 1.5 k Ω and Vs = 0.6V, then the output current I0 is .............. mA.
                              ​
                                Q 43 :
                                For an ideal gas, AB and Cd are two isothermals at temperatures T1 and T2 (T1 > T2), respectively. AD and BC represent two adiabatic paths as shown in figure.

                                Let VA, VB, Vc and VD be the volumes of the gas at A, B, C and D, respectively. If  .............
                                  Q 44 :
                                  A satellite is revolving around the Earth is a closed orbit. The height of the satellite above Earth's surface at perigee and apogee are 2500 km and 4500 km, respectively. Consider the radius of the Earth to be 6500 km. The eccentricity of the satelltie's orbit is ............... (round off to 1 decimal place).
                                    Q 45 :
                                    Three masses m1 = 1, m2 = 2 and m3 = 3 are located on the X-axis, such that their centre of mass in at x = 1. Another mass, m4 = 4 is placed at x0 and the new centre of mass is at x = 3. The value of x0 is ..........
                                      Q 46 :
                                      A normal human eye can distinguish two objects separated by 0.35 m, when viewed from a distance of 1.0 km. The angular resolution of of eye is ............... s (round off to the nearest integer)
                                        Q 47 :
                                        A rod with a proper length of 3m moves along X-axis, making an angle 30° with respect to the X-axis. If its speed is  ,where c is the speed of lights, the change in length due to Lorentz contraction is ......... M(round off to 2 decimal places.) [Use, c = 3 × 108 m/s]
                                          Q 48 :
                                          Consider the Both model of hydrogen atom. The speed of an electron in the second orbit (n = 2) is ........ × 106 m/s
                                          (round off to 2 decimal places).
                                          [Use,h=6.63×10-34Js,e=1.6 × 10-19 C,Ô‘0=8.85 × 10-12C2m2/N]
                                            Q 49 :
                                            Consider a unit circle C in the XY – plane with centre at the origin. The line integral of the vector field, F (x, y, z) = −2 â€‹ taken anti – clockwise over C is ........... π.
                                              Q 50 :
                                              Consider a p- n junction at T = 300 K. The saturation current density at reverse bias is – 20µA/cm². For this device,a current density of magnitude 10µA/cm² is realised with a forward bias voltage VF.The same magnitude of current density can also be realized with a reverse bias voltage VR. The value of â€‹ is ...........
                                              (round off to 2 decimal places).

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