A solid sphere of radius R and density \rho 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)

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A solid sphere of radius R and density $ρ$ 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 $ρ$ . The complete arrangement is placed in a liquid of density 2 $ρ$ and is allowed to reach equilibrium. The correct statement(s) is (are)

the light sphere is completely submerged.

the light sphere is partially submerged

the net elongation of the spring is $\frac{4 {πR}^{3} ρg}{3 k}$

the net elongation of the spring is $\frac{8 {πR}^{3} ρ g}{3 k}$