The bob of a simple pendulum is a hollow sphere with a small hole in… | MHT CET 2026 (20 May, Shift 1)

Q1MHT CET 2026 · 20 MAY · SHIFT 1Easy

Simple Pendulum

The bob of a simple pendulum is a hollow sphere with a small hole in the bottom. It is filled with sand and set into oscillation. Its periodic time (T) is measured at regular intervals. As the sand starts coming out we find that.

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Answer: (d)

$T = 2\pi\sqrt{\frac{l}{g}}$ , where $l$ is measured to the centre of mass of the bob.
As sand flows out from the bottom, the centre of mass first moves down, so $l$ and $T$ increase.
When the sphere is nearly empty the centre of mass rises back to the centre, so $T$ decreases to its original value.
So the answer is (d) T first increases and then decreases.

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