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Questions  

A small ball of density ρ is dropped from a height h above the free surface into a liquid of densityσ(σ>ρ) . Neglecting damping forces, the maximum depth to which the body sinks in the liquid is

a
hσσ−ρ
b
hρσ−ρ
c
h(σ−ρ)ρ
d
h(σ−ρ)σ

detailed solution

Correct option is B

Velocity on reaching the surface of liquid, u=2gh  Retardation inside the liquid a=(σ−ρρ)g Maximum depth to which the body sinks =u22a=2ghρ2(σ−ρ)g=hρσ−ρ

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