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A rubber ball of bulk modulus B is taken...

A rubber ball of bulk modulus `B` is taken to a depth h of a liquid of density `rho`. Find the fractional change in the radius of the ball.

Text Solution

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The volumetric stain
`(deltaV)/V=-P/B`
where `P=rhogh`
`then -(deltaV)/V=(rhogh)/B`………..i
Since the volume of the sphere is `V=4//3pir^(3)`, we have
`(deltaV)/V=(3deltar)/r`……….ii
Using eqn i and ii we have
`(delta)/r=(rhogh)/(3B)`
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