A solid sphere of radius \( r \) made of a soft material of bulk modulus \( K \) is surrounded b...
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A solid sphere of radius \( r \) made of a soft 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, covering entire cross section of cylindrical container. When a mass \( m \) is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere, is
(a) \( \frac{m g}{3 K a} \)
(b) \( \frac{m g}{K a} \)
(c) \( \frac{K a}{m g} \)
(d) \( \frac{K a}{3 m g} \)
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