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
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a
2πρLσg
b
2πρgσL
c
2πσLρg
d
2πσgρL
answer is C.
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Detailed Solution
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