1.

The bob of a simple pendulum is a hollow sphere filled with water. How will the period of oscillation change if the water begins to drain out of the hollow sphere?

Answer»

When the sphere is filled with water, its C.G. at the centre of the sphere. So, let its time period be 'T'. As the water begins to drain out, C.G. of the sphere will be lowered and hence length l will increases. Therefore, time-period increases. When whole of the water is drained out, C.G. again shifts to the centre of the sphere and hence the period will be the same (i.e, T) as and when the sphere was full of water.



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