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Properties of Matter question

2013 · Shift 1 · Q48
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Properties of Matter question

2013 · Shift 1 · Q48

JEE AdvancedPhysicsProperties of MatterMultiple correct+4 / −1
A solid sphere of radius R and density ρ\rhoρ 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 ρ\rhoρ. The complete arrangement is placed in a liquid of density 2 ρ\rhoρ and is allowed to reach equilibrium. The correct statement(s) is (are)
  1. A
    The net elongation of the spring is 4πR3ρg3k{{4\pi {R^3}\rho g} \over {3k}}3k4πR3ρg​
  2. B
    The net elongation of the spring is 8πR3ρg3k{{8\pi {R^3}\rho g} \over {3k}}3k8πR3ρg​
  3. C
    The light sphere is partially submerged
  4. D
    The light sphere is completely submerged
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