The potential energy of a particle of mass \( 1 \mathrm{~kg} \) in motion along the \( \mathrm{x...

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The potential energy of a particle of mass \( 1 \mathrm{~kg} \) in motion along the \( \mathrm{x} \)-axis is given by
\( \mathrm{P} \) \( U=4(1-\cos 2 x) J \), where \( x \) is in metres. The period of small oscillations (in sec) is :-
(1) \( 2 \pi \)
(2) \( \pi \)
(3) \( \frac{\pi}{2} \)
(4) \( \sqrt{2} \pi \)
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