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Question

A particle executes simple harmonic motion with a frequency f. The frequency with which its kinetic energy oscillates is?
  1. f2
  2. f
  3. 2f
  4. 4f

A
2f
B
f
C
4f
D
f2
Solution
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Let, x=Asinωt
v=dxdt=Aωcosωt
Kinetic energy, K=12mv2
K=12mω2A2cos2ωt
K=12mω2A2(1+cos2ωt2)
K=14mω2A2(1+cos2ωt)
ωK=2ω
Frequency of oscillation of K.E =2f[f=ω2π]

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