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Questions  

A small ball of density ρ  is immersed in a liquid of density σ(σ>ρ)  to a depth h and then released. The highest above the surface of water up to which the ball will jump is

a
σhρ
b
(σρ−1)h
c
(1−ρσ)h
d
ρhσ

detailed solution

Correct option is B

Acceleration a=Fnetm=upthrust - mgm=Vσg−VρgVρ=σ−ρρg Velocity on reaching the surfaceu=2(σ−ρ)ρghHeight attained above the surface is h'=u22g⇒  h'=2(σ−ρρ)gh.12g⇒  h'=(σ−ρρ)h

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