A block of volume $V$ and of density $\sigma _b$ is placed in liquid of density $\sigma _l(\sigma _l > \sigma _b)$ , then block is moved upward upto a height $h$ and it is still in liquid. The increase in gravitational potential energy of the system is
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$\Delta U = mgh$
$\Delta U = \left( {{\sigma _b} - {\sigma _l}} \right)Vgh$
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