MHT CET 2023 Physics question

A rubber ball filled with water, having a small hole is used as the bob of a simple pendulum. The time period of such a pendulum

(A)is a constant
(B)decreases with time
(C)increases with time
(D)first increases then decreases, finally having same value as at the beginningCorrect

Answer: (D)

Solution

The time period of a simple pendulum is , where is the distance from the point of suspension to the centre of mass of the bob. When the water-filled ball leaks, its centre of mass first shifts downward (the water level falls, so the centre of mass of ball plus remaining water moves below the

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Question ID VK-094655