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Physics

Grade-9

Easy

Question

The time period of a simple pendulum is 2 sec. If its length is increased 4 times, then its period becomes:

8 sec
12 sec
16 sec
4 sec

hint Hint:

Time Period (T): It is the time taken by the motion to repeat itself. So the unit of a time period is seconds.

The correct answer is: 4 sec

$T i m e space P e r i o d space equals space 2 pi square root of l over g end root s o space n e w space l equals space 4 l space s o space N e w space space T equals space 2 pi square root of fraction numerator 4 l over denominator g end fraction end root N e w space T equals 2 T N e w space T equals space 2 cross times 2 equals 4 space s e c$

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