A simple pendulum of mass \( m \) executes \( \mathrm{SHM} \) with total energy \( E \). If at a...

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A simple pendulum of mass \( m \) executes \( \mathrm{SHM} \) with total energy \( E \). If at an instant it is at one of extreme positions, then its linear momentum after a phase shift of \( \frac{\pi}{3} \) rad will be
\( \mathrm{P} \)
(a) \( \sqrt{2 m E} \)
(b) \( \sqrt{\frac{3 m E}{2}} \)
(c) \( 2 \sqrt{m E} \)
(d) \( \sqrt{\frac{2 m E}{3}} \)
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