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Question

# A cylinder of mass m and density ρ hanging from a string is lowered into a vessel of cross-sectional area s containing a liquid of density σ(<ρ) until it is fully immersed. The increase in pressure at the bottom of the vessel is :

A
mρgσs
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B
mgs
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C
mσgρs
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D
Zero
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Solution

## The correct option is C mσgρsρ = density of cylinder σ= density of the liquid which is in vessel Fu = upthrust force s= cross sectional area of vessel From Newton's third law, excess force acting on the liquid is equal force of buoyancy acting on the cylinder. Hence, ΔP=Fs=Vσgs=mσgsρ

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