A solid sphere of radius made of a soft material of bulk modulus is surrounded by a…

PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Solids · Mechanical Properties of Solids

Problem

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

\left(\frac{dr}{r}\right)

, is : [Main 2018] (1)

\frac{Ka}{mg}

(2)

\frac{Ka}{3mg}

(3)

\frac{mg}{3Ka}

(4)

\frac{mg}{Ka}