A body of density \( \rho^{\prime} \) is dropped from rest at a height \( \mathrm{h} \) above a ...

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A body of density \( \rho^{\prime} \) is dropped from rest at a height \( \mathrm{h} \) above a lake of density \( \rho \), where \( \rho\rho \) .
\( \mathrm{P} \) Which of the following statement is correct if all

W dissipative effects are neglected ?
(1) The speed of the body just before entering the lake is \( 2 \mathrm{gh} \)
(2) The body in the lake experiences upward acceleration equal to \( \mathrm{g}\left(\rho^{\prime} / \rho\right)-\mathrm{g} \)
(3) The maximum depth to which the body may sink in the lake is h \( \rho^{\prime} /\left(\rho-\rho^{\prime}\right) \)
(4) The body does not come back to the surface of the lake.
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