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?

• A. First decreases then increases
• B. Keep on increasing
• C. First increases then decreases
• D. Keeps on decreasing

Answer 1

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.