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MHT CET 2021 (21 Sep, Shift 2) · Velocity & Acceleration in SHM

Velocity & Acceleration in SHM question from MHT CET 2021 (21 Sep, Shift 2)

Q54MHT CET 2021 · 21 SEP · SHIFT 2Easy

Velocity & Acceleration in SHM

A particle is performing S.H.M. with maximum velocity ' $v$ '. If the amplitude is tripled and periodic time is doubled then maximum velocity will be

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Answer: (a)

$v_{max} = \frac{2\pi A}{T}$ , so $v_{max} \propto \frac{A}{T}$
$A' = 3A$ , $T' = 2T$ : $v' = \frac{3}{2}v = 1.5v$
So the answer is (a) $1.5v$ .

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