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Question

A small solid sphere of radius R made of a material of bulk modulus B is surrounded by an incompressible liquid in a cylindrical container. A massless piston of area A floats on the surfaces of the liquid. Find the magnitude of fractional change in the radius of the sphere (dRR) when a mass M is placed slowly on the piston to compress the liquid.


  1. Mg3AB

  2. MgAB

  3. None of these

  4. 3MgAB


Solution

The correct option is B

MgAB


V=43πR3dRR=13dVVB=VdPdVdVV=dPB=MgAB

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