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Questions  

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 

a
60 J
b
10 J
c
40 J
d
45 J

detailed solution

Correct option is D

UE=12mω2y212mω2a2=y2a2 ⇒U80=34a2a2=916 ⇒U=45 J

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When the displacement is half the amplitude, the ratio of potential energy to the total energy is


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