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Questions  

A rubber ball of bulk modulus B is taken to a depth h of a liquid of densityρ . The magnitude of fractional change in radius of the ball is

a
δrr=ρgh3B
b
δrr=ρgh2B
c
δrr=3ρghB
d
δrr=2ρghB

detailed solution

Correct option is A

The volumetric strainδvv=−ρB , Where p=ρgh  then - −δvv=pghB Since the volume of the sphere is v=43πr3 We have δvv=ρghB  using eqs( I ) and ( ii ) , we have δrr=ρgh3B

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