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MHT CET 2026 (19 May, Shift 2) · Energy in SHM

Energy in SHM question from MHT CET 2026 (19 May, Shift 2)

Q1MHT CET 2026 · 19 MAY · SHIFT 2Easy

Energy in SHM

The total energy of a particle executing SHM is EE. If the amplitude is doubled and the frequency is halved, the new total energy will be

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Answer: (b)

  1. E=12mω2A2∝f2A2E = \dfrac{1}{2}m\omega^2A^2 \propto f^2A^2
  2. E′∝(f2)2(2A)2=f2A2E' \propto \left(\dfrac{f}{2}\right)^2(2A)^2 = f^2A^2
  3. So E′=EE' = E; the answer is (b) EE.
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