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The potential energy of a particle of mass \( m \) executing SHM is given by \( U=A(1-\cos 2 x) \),
\( \mathrm{P} \) where \( x \) is the instantaneous small displacement of W the particle. The time period of oscillation is
(1) \( \pi \sqrt{\frac{m}{A}} \)
(2) \( 2 \pi \sqrt{\frac{m}{A}} \)
(3) \( \pi \sqrt{\frac{m}{2 A}} \)
(4) \( 2 \pi \sqrt{\frac{m}{2 A}} \)
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