First slide

Simple hormonic motion

Question

The potential energy of a particle executing SHM changes from maximum to minimum in 5 s. Then the time period of SHM is:

Moderate

A

5 s
B

10 s
C

15 s
D

20 s

Solution

P.E. is maximum at extreme position and minimum at mean position
Time to go from extreme position to mean position is, $t = \frac{T}{4}; where T is time period of SHM$
$5 s = \frac{T}{4} \Rightarrow T = 20 s .$

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