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Q.

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

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a

δrr=ρgh3B

b

δrr=ρgh2B

c

δrr=3ρghB

d

δrr=2ρghB

answer is A.

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Detailed Solution

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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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