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Q.

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

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a

Mg3AK

b

MgAK

c

2Mg3AK

d

2MgAK

answer is A.

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Detailed Solution

B=ΔP(−Δvv) k=(MgA)(3.ΔRR)∴k=Mg3A(ΔRR)         ⇒ΔRR=Mg3Ak
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