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(B) The time period of a simple pendulum is given by $T = 2\pi \sqrt{\frac{L}{g}}$, where $L$ is the effective length of the pendulum.The effective le

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(B) The time period of a simple pendulum is given by $T = 2\pi \sqrt{\frac{L}{g}}$, where $L$ is the effective length of the pendulum.The effective length $L$ is the distance from the point of suspension to the center of gravity (c.g.) of the bob.Initially, the center of gravity of the mercury-filled sphere is at its geometric center.When a little mercury is drained off, the level of mercury inside the sphere drops, causing the center of gravity of the bob to shift downwards (away from the point of suspension).As the center of gravity moves downwards, the effective length $L$ of the pendulum increases.Since $T \propto \sqrt{L}$, an increase in $L$ leads to an increase in the time period $T$ of the pendulum.

$A$ simple pendulum is made of a body which is a hollow sphere containing mercury, suspended by means of a wire. If a little mercury is drained off, the period of the pendulum will

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