PYQ Vault
EbooksTutor

Ball released down a curve or as a pendulum collides elastically with a ball at rest

This type of question, asked 3 times: 30 Jan 2023, 29 Jan 2025, 23 Jan 2026 S1. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    30 Jan 2023

    11
    As per the given figure, a small ball PP slides down the quadrant of a circle and hits the other ball QQ of equal mass which is initially at rest. Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball QQ after collision will be:

    Tap an option to check your answer.

  2. Question 2

    29 Jan 2025

    10
    As shown below, bob A of a pendulum having massless string of length ' R ' is released from 60∘60^{\circ} to the vertical. It hits another bob B of half the mass that is at rest on a friction less table in the centre. Assuming elastic collision, the magnitude of the velocity of bob A after the collision will be (take gg as acceleration due to gravity)

    Tap an option to check your answer.

  3. Question 3

    23 Jan 2026 S1

    2
    A small bob A of mass m is attached to a massless rigid rod of length 1 m pivoted at point P and kept at an angle of 60∘60^{\circ} with vertical as shown in figure. At distance of 1 m below point P, an identical bob B is kept at rest on a smooth horizontal surface that extends to a circular track of radius R as shown in figure. If bob B just manages to complete the circular path of radius R upto a point Q after being hit elastically by bob A, then radius R is ____\_\_\_\_ m.

    Tap an option to check your answer.