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JEE PHYSICS MCQ: OSCILLATIONS

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The acceleration d2x/dt2d^2 x / d t^2 of a particle varies with displacement xx as d2xdt2=−kx\frac{d^2 x}{d t^2}=-k x where kk is a constant of the motion. The time period TT of the motion is equal to
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Correct option: C
2π/k2 \pi / \sqrt{k}
Option C is correct because the time period T is calculated using T=2π/kT = 2 \pi / \sqrt{k} based on the given acceleration equation.

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