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.