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JEE PHYSICS MCQ: OSCILLATIONS

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A body of mass 10 g10 \mathrm{~g} is executing simple harmonic motion about a point with an amplitude 20 cm20 \mathrm{~cm}. If its maximum velocity is 100 cm.s−1100 \mathrm{~cm}.\mathrm{s}^{-1}, its velocity will be 50 cm.s−150 \mathrm{~cm} .\mathrm{s}^{-1} at a distance ____ cm\mathrm{cm} from its mean position.
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Correct option: A
10310 \sqrt{3}
Option A (10310 \sqrt{3}) is correct because it is calculated using the SHM velocity formula v=ωA2−y2v = \omega \sqrt{A^2 - y^2} where yy is the distance from the mean position.

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