PYQ Vault

Period of a floating block pushed down and released

This type of question, asked 3 times: 11 May 2023 S2, 11 May 2024 S2, 13 May 2026 S2. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    11 May 2023 S2

    10
    A piece of wood has length, breadth and height, 'a', 'b' and 'c' respectively. Its relative density is 'd'. It is floating in water such that the side 'a' is vertical. It is pushed down a little and released. The time period of S.H.M. executed by it is (g=g = acceleration due to gravity)

    Tap an option to check your answer.

  2. Question 2

    11 May 2024 S2

    2
    A rectangular block of mass 'm' and cross-sectional area A, floats on a liquid of density 'ρ\rho'. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency 'n' equal to (g=g = acceleration due to gravity)

    Tap an option to check your answer.

  3. Question 3

    13 May 2026 S2

    110
    A wooden cube (density dd) of side LL floats on a liquid of density ρ\rho with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs S.H.M. of period TT. The value of TT is (gg = acceleration due to gravity)

    Tap an option to check your answer.