Properties of Matter 2 Question 14
14. A solid sphere of radius and density is attached to one end of a massless spring of force constant . The other end of the spring is connected to another solid sphere of radius and density . The complete arrangement is placed in a liquid of density and is allowed to reach equilibrium. The correct statement(s) is (are)
(2013 Adv.)
(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
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Answer:
Correct Answer: 14. (a)
Solution:
On small sphere
On second sphere (large)
By Eqs. (i) and (ii), we get