Questions

A solid sphere of radius R, made up of a 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. When a mass M is placed on the piston to compress the liquid, the fractional change in the radius of the sphere is

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detailed solution

Correct option is B

Change in pressure due to placing of mass on prism is ∆p=MgAFrom bulk modulus definition K=-dpdV/V dVV=∆pK=MgAK From V=43πr3 dVV=3dRR ⇒ dRR=13dVV=Mg3AK

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