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A solid sphere of radius R made of a material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless pistion 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, `deltaR//R`, is .............A. `(Mg)/(AK)`B. `(Mg)/(2AK)`C. `(Mg)/(3AK)`D. `(Mg)/(4AK)` |
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Answer» Correct Answer - C `DeltaP=(Mg)/A` `|(DeltaV)/V|=(DeltaP)/K=(Mg)/(AK)` Now, as `V=4/3 pi R^(3)` or `V prop R^(3)` `:. (DeltaV)/V=3((DeltaR)/R)` or `(DeltaR)/R=1/3 ((DeltaV)/V)......(1)` `:.` from equation (1) `(DeltaR)/R=(Mg)/(3AK)` |
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