A pendulum suspended from the ceiling of a train has a time period $T$ when the train is at rest. When the train is accelerating with a uniform acceleration, the time period will :

increase

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decrease

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become infinite

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remain unaffected

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Solution

The correct option is B decrease
When a train is moving with acceleration, the pendulum is exerted by a pseudo acceleration opposite to the direction of the train. As a result, there will be an increase in effective acceleration on the pendulum.
The period of the pendulum is inversely proportional to the square root of the effective acceleration.
$T \propto \frac{1}{\sqrt{g}}$
The period will decrease.
The correct option is B.

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A pendulum suspended from the ceiling of a train has a time period T when the train is at rest. When the train is accelerating with a uniform acceleration, the time period will :

A pendulum suspended from the ceiling of a train has a time period $T$ when the train is at rest. When the train is accelerating with a uniform acceleration, the time period will :