A hollow sphere is filled with water through the small hole in it. It is then hung by a long thread and made to oscillate. As the water slowly flow out of the hole at the bottom, the period of oscillation will

Question

Dr. Abubacker · Accepted Answer

(c) The time period of the pendulum
$T = 2\pi\sqrt{\frac{l}{g}}$
$\Rightarrow$ $T \propto \sqrt{l}$
Initially the centre of mass of the sphere is at the centre of the sphere. As the water slowly flows out of the hole at the bottom, the CM of the liquid (hollow sphere) first goes on downward and the upward. Hence, the effective length of the pendulum first increases and then decreases.

Q. A hollow sphere is filled with water through the small hole in it. It is then hung by a long thread and made to oscillate. As the water slowly flow out of the hole at the bottom, the period of oscillation will

Explanation

Reviewed by Dr. Abubacker

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