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MHT CET 2023 (9 May, Shift 2) · Energy in SHM

Energy in SHM question from MHT CET 2023 (9 May, Shift 2)

Q37MHT CET 2023 · 9 MAY · SHIFT 2Easy

Energy in SHM

A particle is vibrating in S.H.M. with an amplitude of $4\text{ cm}$ . At what displacement from the equilibrium position is its energy half potential and half kinetic?

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Answer: (d)

$KE = PE \Rightarrow A^2 - x^2 = x^2$
$x = \dfrac{A}{\sqrt{2}} = \dfrac{4}{\sqrt{2}} = 2\sqrt{2}\text{ cm}$
So the answer is (d) $2\sqrt{2}$ cm.

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