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A cubical body of density σ, side L floats in a liquid of density ρ (ρ<σ. If it is slightly displaced downwards and released, the time period will be

a
2πρLσg
b
2πρgσL
c
2πσLρg
d
2πσgρL

detailed solution

Correct option is C

when it is displaced a little by  y extra buoyant force developed is Ayρg where A is area of cross section  F=-Aygρ =ma      a=-Aygρm= AygρALσ= -gρLσy   =-ω2y ω=gρLσ  T= 2πLσρg

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