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Q.

When a particle executing SHM oscillates with a frequency v, then the kinetic energy of the particle

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a

changes periodically with a frequency of v

b

changes periodically with a frequency of 2v

c

changes periodically with a frequency of v/2

d

remains constant

answer is B.

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Detailed Solution

We know that, kinetic energy, K=12mv2where, v=dydt=ωA cos ωtSo,      K=12mω2A2 cos2 ωtHence, kinetic energy varies periodically with double the frequency of SHM. So, when a particle executing SHM oscillates with a frequency v, then the kinetic energy of particle changes periodically with a frequency of 2v.
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When a particle executing SHM oscillates with a frequency v, then the kinetic energy of the particle