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

Question

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

Infinity Learn · Accepted Answer

$$B=$$Δ$$P($$−Δ$$vv)$$ $$k=(MgA)(3$$.Δ$$RR)$$∴$$k=Mg3A($$Δ$$RR)$$         ⇒Δ$$RR=Mg3Ak$$

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