A body totally immersed in water is raised in the water by a height $h$ . The density of the body is $d$ and the density of the water is $d_{0}$ while the volume of the body is $V$ and $d > d_{0}$ . Which of the given statements will be true?

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The net work done by the external agent on raising the body slowly is $V g h (d - d_{0})$

The increase in the potential energy of the body is $V g h (d - d_{0})$

The potential energy of water is increased by raising the body

The work done on the body by the gravitational force is equal and opposite to the work done by the hydrostatic force so that net work done is zero

answer is A, B.

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Detailed Solution

Effective value of downward force acting on the body
$F = V (d - d_{0}) g$
So increase in potential energy in lifting the body through height in the liquid
= work done against effective downward force
$= V (d - d_{0}) g h$
It is also evident that potential of water will remain same by raising the body in it.