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Q.

The total energy of a particle executing S.H.M. is 80 J. What is the potential energy when the particle is at a distance of 3/4 of amplitude from the mean position

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a

60 J

b

10 J

c

40 J

d

45 J

answer is D.

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Detailed Solution

UE=12mω2y212mω2a2=y2a2 ⇒U80=34a2a2=916 ⇒U=45 J
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The total energy of a particle executing S.H.M. is 80 J. What is the potential energy when the particle is at a distance of 3/4 of amplitude from the mean position