A solid sphere of radius and density is attached to one end of a mass-less spring of…

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

A solid sphere of radius

R

and density

ho

is attached to one end of a mass-less spring of force constant

k

. The other end of the spring is connected to another solid sphere of radius

R

and density

3\rho

. The complete arrangement is placed in a liquid of density

2\rho

and is allowed to reach equilibrium. The correct statement(s) is (are) (1) The net elongation of the spring is

\frac{4\pi R^3 \rho g}{3k}

(2) The net elongation of the spring is

\frac{8\pi R^3 \rho g}{3k}

(3) The light sphere is partially submerged (4) The light sphere is completely submerged