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A solid sphere of radius R and density r...

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 `3rho`. The complete arrangement is placed in a liquid of density `2rho` and is allowed to reach equilibrium. The correct statements(s) is (are)

A

The net elongation of the spring is `4 pi R^3 pg / 3k`

B

The net elongation of the spring is `8 pi R^3 pg / 3k`

C

The light sphere is partially submerged.

D

The light sphere is completely submerged.

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