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Question: The pendulum suspended from the ceiling of a train has a period T when the train is at rest. When th...

The pendulum suspended from the ceiling of a train has a period T when the train is at rest. When the train is accelerating with an uniform acceleration, the period of oscillation will –

A

Increase

B

Decrease

C

Remain unaffected

D

Become infinite

Answer

Decrease

Explanation

Solution

Comparing with y = 2p lg\sqrt{\frac{\mathcal{l}}{g}} ;

T' = 2p 1g2+a2\sqrt{\frac{1}{\sqrt{g^{2} + a^{2}}}}

clearly, T' < T