Progression (Sequence and Series)Hard

Question

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

Options

A.the net elongation of the spring is
B.the net elongation of the spring is
C.the light sphere is partially submerged.
D.the light sphere is completely submerged

Solution

            
For system
At equilibrium



light sphere is completely submerged Also for one sphere

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