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NEET 1994 (AIPMT) · Energy in SHM

Energy in SHM question from NEET 1994 (AIPMT)

Q84NEET 1994 · AIPMTEasy

Energy in SHM

A loaded vertical spring executes S.H.M. with a time period of 4 sec4\text{ sec}. The difference between the kinetic energy and potential energy of this system varies with a period of

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Answer: (a)

  1. KE=Ecos⁡2ωtKE = E\cos^2\omega t, PE=Esin⁡2ωtPE = E\sin^2\omega t
  2. KE−PE=Ecos⁡2ωtKE - PE = E\cos 2\omega t, which has period T2\frac{T}{2}.
  3. T2=42=2\frac{T}{2} = \frac{4}{2} = 2 s
  4. So the answer is (a) 2 sec.
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