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Forced Oscillations

A second's pe...

Question

A second's pendulum has a time period of 2 seconds on the earth. In order to have the same time period of the pendulum on the moon, one has to

A

Increase the mass of the bob

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B

Decrease the amplitude of vibrations

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C

Decrease the length of the pendulum

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D

Increase the size of the bob

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Solution

The correct option is C Decrease the length of the pendulum
Time period for pendulum is given by,

$T$ = $2 π \sqrt{\frac{l}{g}}$

As the value of $g$ decreases for moon, length of pendulum should also be decreased such that the value of $T$ remains constant.

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