The bob of a simple pendulum is a spherical hollow ball filled with… | JEE Main 2005 (AIEEE)

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Simple Pendulum

The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would

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Answer: (b)

$T \propto \sqrt{l}$ , with $l$ measured to the centre of mass of the bob.
As water flows out, the centre of mass first moves down, so $T$ increases.
When the ball is nearly empty, the centre of mass returns to the ball's centre, so $T$ returns to its original value.
So the answer is (b) first increase and then decrease to the original value.

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