The time taken by a particle performing SHM to pass from point \( A \) to \( B \) where its velo...

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The time taken by a particle performing SHM to pass from point \( A \) to \( B \) where its velocities are same is \( 2 \mathrm{~s} \). After another \( 2 \mathrm{~s} \) it returns to \( B \). The ratio of distance \( O B \) to its amplitude (where \( O \) is the mean position) is
(a) \( 1: \sqrt{2} \)
(b) \( (\sqrt{2}-1): 1 \)
(c) \( 1: 2 \)
(d) \( 1: 2 \sqrt{2} \)
\( \mathrm{P} \)
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