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JEE PHYSICS MCQ: OSCILLATIONS

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The motion of a particle is expressed by the equation acc. a =−=- bx where x\mathrm{x} is displacement from equilibrium position and bb is constant. What is the periodic time?
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Correct option: B
2πb\frac{2 \pi}{\sqrt{b}}
Option B (2πb\frac{2 \pi}{\sqrt{b}}) is correct because the periodic time is calculated using the formula T=2πωT = \frac{2\pi}{\omega}, where ω=b\omega = \sqrt{b} from the given acceleration equation.

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