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A solid sphere of radius R and density rho is attached to one end of a massless 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):
a) The net elongation of the spring is 4(pi)(R^3)(rho)g/(3k).
b) The net elongation of the spring is 8(pi)(R^3)(rho)g/(3k).
c) The light sphere is partially submerged.
d) The light sphere is completely submerged.

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