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A solid sphere of radius r made of a sof...

A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area a floats on the surface of the liquid, covering entire cross section of cylindrical container. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere, `((dr)/(r ))`, is :

A

`(Mg)/(BA)`

B

`(Mg)/(3BA)`

C

`(3Mg)/(4BA)`

D

`(Mg)/(4BAR)`

Text Solution

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The correct Answer is:
B
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