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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 `(4piR^(3)rhog)/(3k)`

B

the net elongation of theh spring is `(8piR^(3)rhog)/(3k)`

C

the light sphere is partially submerged

D

the light sphere is completely submerged.

Text Solution

Verified by Experts

The correct Answer is:
A, D
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