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MHT CET 2021 (23 Sep, Shift 2) · Energy in SHM

Energy in SHM question from MHT CET 2021 (23 Sep, Shift 2)

Q62MHT CET 2021 · 23 SEP · SHIFT 2Medium

Energy in SHM

An object executes SHM along $x$ -axis with amplitude $0.06\text{ m}$ . At certain distance ' $x$ ' metre from mean position, it has kinetic energy $10\text{ J}$ and potential energy $8\text{ J}$ . the distance ' $x$ ' will be

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Answer: (c)

$E = 10 + 8 = 18$ J
$\frac{x^2}{A^2} = \frac{PE}{E} = \frac{8}{18} = \frac{4}{9} \Rightarrow x = \frac{2}{3}A$
$x = \frac{2}{3} \times 0.06 = 0.04$ m
So the answer is (c) 0.04 m.

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