A particle executes linear simple harmonic motion with an amplitude...

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A particle executes linear simple harmonic motion with an amplitude of \( 2 \mathrm{~cm} \). When the particle is at \( 1 \mathrm{~cm} \) from the
\( \mathrm{P} \) mean position the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is
W
[Kerala PET 2005; NEET 2017]
(a) \( \frac{1}{2 \pi \sqrt{3}} \)
(b) \( 2 \pi \sqrt{3} \)
(c) \( \frac{2 \pi}{\sqrt{3}} \)
(d) \( \frac{\sqrt{3}}{2 \pi} \)
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