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MHT CET 2024 (10 May, Shift 1) · Velocity & Acceleration in SHM

Velocity & Acceleration in SHM question from MHT CET 2024 (10 May, Shift 1)

Q24MHT CET 2024 · 10 MAY · SHIFT 1Easy

Velocity & Acceleration in SHM

A particle performing S.H.M. with maximum velocity ' VV '. If the amplitude double and periodic time is made, (13)\left(\frac{1}{3}\right)rd then the maximum velocity is

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Answer: (a)

  1. vmax=Aω=2πATv_{max} = A\omega = \frac{2\pi A}{T}, so vmax∝ATv_{max} \propto \frac{A}{T}
  2. A′=2AA' = 2A, T′=T3T' = \frac{T}{3}: v′=21/3V=6Vv' = \frac{2}{1/3}V = 6V
  3. So the answer is (a) 6V6V.
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