A block of volume V and of density sigma ₓ is placed in liquid of density sigma ₗ(sigma ₗ >

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9-1.Fluid Mechanics

easy

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

A

${\sigma _b}Vgh$

B

$\left( {{\sigma _b} + {\sigma _l}} \right)Vgh$

C

$\left( {{\sigma _b} - {\sigma _l}} \right)Vgh$

D

none of these

Solution

$\Delta U = mgh$

$\Delta U = \left( {{\sigma _b} – {\sigma _l}} \right)Vgh$

Standard 11

Physics

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(IIT-2011)