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Rectangular block floating on a liquid, pushed down: frequency of its oscillation

The same question, asked 2 times: 11 May 2024 S2*, 16 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    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)

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  2. Question 2

    16 Apr 2026 S1

    110
    A rectangular block of mass 'm' and cross-sectional area 'A' floats on a liquid of density 'ϱ\varrho'. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency (g=acceleration due to gravity)

    Tap an option to check your answer.