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Maximum depth a lighter body sinks after being dropped into a liquid from a height

The same question, asked 2 times: 11 May 2024 S1, 19 Apr 2025 S2. Every wording below, oldest first.

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  1. Question 1

    11 May 2024 S1

    49
    A body of density ρ\rho is dropped from rest at a height h into a lake of density σ\sigma (σ>ρ)(\sigma > \rho). The maximum depth to which the body sinks before returning to float on the surface is (neglect air dissipative forces)

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  2. Question 2

    19 Apr 2025 S2

    16
    A small metal sphere of density ρ\rho is dropped from height hh into a jar containing liquid of density σ(σ>ρ)\sigma(\sigma>\rho). The maximum depth up to which the sphere sinks is (Neglect damping forces)

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