A particle moves such that its acceleration \( a \) is given by \( ...

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A particle moves such that its acceleration \( a \) is given by \( a=-b x \), where \( x \) is the displacement from equilibrium
\( \mathrm{P} \) position and \( b \) is a constant. The period of oscillation is
[UPSEAT 2000; Similar MP PET 2013]
W
(a) \( 2 \pi \sqrt{b} \)
(b) \( \frac{2 \pi}{\sqrt{b}} \)
(c) \( \frac{2 \pi}{b} \)
(d) \( 2 \sqrt{\frac{\pi}{b}} \)
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