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System of Particles and Rotational Motion

JEE Mains Physics. Try each one first, then open its answer.

Top 10 JEE Mains PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 7 times: 2021 Paper 12, 2021 Paper 13, 25 Jul 2022, 27 Jan 2024, 4 Apr 2024, 24 Jan 2025, 4 Apr 2025. This one: 4 Apr 2025 See all 7 of this type

    21
    A circular ring and a solid sphere having same radius roll down on an inclined plane from rest without slipping. The ratio of their velocities when reached at the bottom of the plane is x5\sqrt{\frac{x}{5}} where x=x =

  2. Question 2

    This type asked 6 times: 26 Jul 2022, 24 Jan 2023, 6 Apr 2023, 15 Apr 2023, 5 Apr 2024, 28 Jan 2026 S1. This one: 28 Jan 2026 S1 See all 6 of this type

    23
    A solid sphere of radius 10 cm is rotating about an axis which is at a distance 15 cm from its center. The radius of gyration about this axis is n cm\sqrt{n}\text{ }cm. The value of nn is

  3. Question 3

    This type asked 6 times: 26 Jun 2022, 29 Jan 2023, 31 Jan 2023, 12 Apr 2023, 5 Apr 2024, 24 Jan 2025. This one: 24 Jan 2025 See all 6 of this type

    79
    A solid sphere is rolling without slipping on a horizontal plane. The ratio of the linear kinetic energy of the centre of mass of the sphere and rotational kinetic energy is :

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  4. Question 4

    This type asked 5 times: 28 Jun 2022, 25 Jan 2023, 1 Feb 2023, 2 Apr 2025, 22 Jan 2026 S1. This one: 22 Jan 2026 S1 See all 5 of this type

    1
    A solid sphere of mass 5 kg and radius 10 cm is kept in contact with another solid sphere of mass 10 kg and radius 20 cm . The moment of inertia of this pair of spheres about the tangent passing through the point of contact is ____\_\_\_\_ kg.m2kg.m^{2}.

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  5. Question 5

    This type asked 5 times: 25 Jun 2022, 29 Jul 2022, 10 Apr 2023, 22 Jan 2025, 29 Jan 2025. This one: 29 Jan 2025 See all 5 of this type

    21
    The coordinates of a particle with respect to origin in a given reference frame is (1,1,1)(1,1,1) meters. If a force of F→=i^−j^+k^\overrightarrow{F}=\widehat{i}-\widehat{j}+\widehat{k} acts on the particle, then the magnitude of torque (with respect to origin) in zz-direction is _____\_\_\_\_\_

  6. Question 6

    This type asked 5 times: 1 Feb 2023, 29 Jan 2024, 9 Apr 2024, 23 Jan 2025, 24 Jan 2025. This one: 24 Jan 2025 See all 5 of this type

    11
    A uniform solid cylinder of mass ' m ' and radius ' r ' rolls along an inclined rough plane of inclination 45∘45^{\circ}. If it starts to roll from rest from the top of the plane then the linear acceleration of the cylinder axis will be :-

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  7. Question 7

    This type asked 4 times: 2021 Paper 4, 8 Apr 2023, 1 Feb 2024, 5 Apr 2026 S2. This one: 5 Apr 2026 S2 See all 4 of this type

    6
    An object of uniform density rolls up the curved path with the initial velocity v0v_{0} as shown in the figure. If the maximum height attained by an object is 7v0210 g\frac{7v_{0}^{2}}{10\text{ }g} (g=g = acceleration due to gravity), the object is a ____\_\_\_\_ .

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  8. Question 8

    This type asked 4 times: 29 Jan 2023, 30 Jan 2024, 31 Jan 2024, 24 Jan 2025. This one: 24 Jan 2025 See all 4 of this type

    8
    An object of mass ' mm ' is projected from origin in a vertical xy plane at an angle 45∘45^{\circ} with the x -axis with an initial velocity v0v_{0}. The magnitude and direction of the angular momentum of the object with respect to origin, when it reaches at the maximum height, will be [ g is acceleration due to gravity]

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  9. Question 9

    Asked 3 times: 2021 Paper 23*, 6 Apr 2023*, 31 Jan 2024 (* = numbers or wording changed that year) See all 3 times it was asked

    118
    Two identical spheres each of mass 2 kg2\text{ }kg and radius 50 cm50\text{ }cm are fixed at the ends of a light rod so that the separation between the centers is 50 cm50\text{ }cm. Then, moment of inertia of the system about an axis perpendicular to the rod and passing through its middle point is x20 kg m2\frac{x}{20}\text{ }kg{\text{ }m}^{2}, where the value of xx is_____

  10. Question 10

    This type asked 3 times: 28 Jun 2022, 23 Jan 2025, 2 Apr 2026 S1. This one: 2 Apr 2026 S1 See all 3 of this type

    6
    A particle is rotating in a circular path and at any instant its motion can be described as θ=5t440−t33\theta=\frac{5t^{4}}{40}-\frac{t^{3}}{3}. The angular acceleration of the particle after 10 seconds is ____\_\_\_\_ rad/s2rad/s^{2}.

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