Q.

A body of volume V and density ρ  is initially submerged in a liquid of densityσ . If it is lifted through a height h in the liquid, its potential energy will

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a

Increase by hV(ρ−σ)g

b

Decrease by hV(ρ−σ)g

c

Increase by hVρgσ

d

Decrease by hVρgσ

answer is A.

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Detailed Solution

Resultant downward force on the body is F=Vρg−Vσg=V(ρ−σ)g When it is lifted up thenWork done = Force ×  Distance ⇒  W=V(ρ−σ)gh So, potential energy increases by hV(ρ−σ)g
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A body of volume V and density ρ  is initially submerged in a liquid of densityσ . If it is lifted through a height h in the liquid, its potential energy will