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Time period of a floating block pushed down and released

This type of question, asked 2 times: 23 Jan 2025, 24 Jan 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    23 Jan 2025

    2
    A light hollow cube of side length 10 cm and mass 10 g is floating in water. It is pushed down and released to execute simple harmonic oscillations. The time period of oscillations is yπ×10−2 sy\pi \times10^{- 2}\text{ }s, where the value of yy is (Acceleration due to gravity, g=10 m/s2g = 10\text{ }m/s^{2}, density of water =103 kg/m3=10^{3}\text{ }kg/m^{3} )

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  2. Question 2

    24 Jan 2026 S1

    3
    A cylindrical block of mass M and area of cross section A is floating in a liquid of density ρ\rho and with its axis vertical. When depressed a little and released the block starts oscillating. The period of oscillation is ____\_\_\_\_ .

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