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Question

A hollow sphere filled with water and one small hole at bottom is hung by a long thread and made to oscillates.  What would be the effect on the period of oscillations as water slowly flows out of the hole at bottom?



Your Answer
A

First decreases then increases

Your Answer
B

Keep on increasing

Correct Answer
C

First increases then decreases

Your Answer
D

Keeps on decreasing


Solution

The correct option is C

First increases then decreases


As water slowly leaks out, the centre of gravity of water and sphere shifts down from the centre of sphere. Due to which length of simple pendulum increases due to stretching , this continues till half of the sphere is emptied. After that the length of simple pendulum decreases.

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