PYQ Vault
EbooksTutor

Speed at the bottom of an incline: rolling compared with sliding

This type of question, asked 6 times: 15 May 2023 S2, 19 Apr 2025 S2, 26 Apr 2025 S2, 13 Apr 2026 S1, 20 Apr 2026 S1, 15 May 2026 S2. All 6 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    15 May 2023 S2

    3
    A body of mass mm slides down an incline and reaches the bottom with a velocity VV. If the same mass were in the form of a disc which rolls down this incline, the velocity of the disc at bottom would have been

    Tap an option to check your answer.

  2. Question 2

    19 Apr 2025 S2

    36
    A body slides down a smooth inclined plane of inclination θ\theta and reaches the bottom with velocity V. If the same body is a ring which rolls down the same inclined plane then linear velocity at the bottom of plane is

    Tap an option to check your answer.

  3. Question 3

    26 Apr 2025 S2

    12
    A solid sphere at rests rolls down an inclined plane of vertical height hh without sliding. Its speed on reahing the bottom of plane is ( g=g = acceleration due to gravity)

    Tap an option to check your answer.

  4. Question 4

    13 Apr 2026 S1

    106
    A body slides down a smooth inclined plane of inclination θ\theta and reaches the bottom with velocity 'V'. If the same body is a ring which rolls down the same inclined plane then linear velocity at the bottom of the plane is

    Tap an option to check your answer.

  5. Question 5

    20 Apr 2026 S1

    105
    A solid sphere rolls down from the top of an inclined plane. On reaching the bottom of the plane, its velocity is 'V1V_1'. When the same sphere slides down from the top of the same plane of same height, its velocity on reaching the bottom is 'V2V_2'. The ratio V1:V2V_1 : V_2 is (neglect friction)

    Tap an option to check your answer.

  6. Question 6

    15 May 2026 S2

    107
    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 x5\sqrt{\dfrac{x}{5}} where the value of xx is

    Tap an option to check your answer.