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\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) [JEE Adv 2013 P1]

the net elongation of the spring is {4\piR^{3}\rhog}/{3k}

the net elongation of the spring is {8\piR^{3}\rhog}/{3k}

the light sphere is partially submerged.

the light sphere is completely submerged.

JEE Advanced 2013 Paper 1

Section: Physics

Question : 15 of 60

Marks: +1, -0

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)

[JEE Adv 2013 P1]

the net elongation of the spring is
4πR3ρg
3k
the net elongation of the spring is
8πR3ρg
3k
the light sphere is partially submerged.
the light sphere is completely submerged.

Validate

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