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Question

A hollow sphere is filled with water through a small hole in it. It is hung by a long thread and made to oscillate. As the water slowly flows out of the hole at the bottom, the period of oscillation will
 
  1. increase
  2. decrease
  3. remain the same
  4. first increase and then decrease


Solution

The correct option is D first increase and then decrease
T=2πlg
As the water flows out, the centre of mass of the bob with water shifts downwards and hence  increases. Once all the water is completely drained out, the centre of mass shifts back to its initial position and then decreases.

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