A body of density $\rho$ is dropped from rest from a height $h$ into a lake of density $\sigma$, where $\sigma > \rho$. Neglecting all dissipative forces, the maximum depth to which the body sinks before returning to float on surface ..........
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(c)
Between point $2$ and $3$
$P_0+\rho g h^{\prime}+\frac{1}{2} \rho v^2=\sigma g h^{\prime}+P_0 \quad\left[P_0=\text { atmospheric pressure }\right]$
$\Rightarrow \rho g h^{\prime}+\rho g h=\sigma g h^{\prime} \quad[\because v=\sqrt{2 g h}]$
So, $h^{\prime}=\frac{h \rho}{\sigma-\rho}$
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