A particle executes SHM of type \( \mathrm{x}=\mathrm{asin} \omega \mathrm{t} \). It takes \( P ...

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A particle executes SHM of type \( \mathrm{x}=\mathrm{asin} \omega \mathrm{t} \). It takes
\( P \) time \( \mathrm{t}_{1} \) from \( \mathrm{x}=0 \) to \( \mathrm{x}=\frac{\mathrm{a}}{2} \) and \( \mathrm{t}_{2} \) from \( \mathrm{x}=\frac{\mathrm{a}}{2} \) to \( \mathrm{x}=\mathrm{a} \). The ratio of \( \mathrm{t}_{1}: \mathrm{t}_{2} \) will be :
(1) \( 1: 1 \)
(2) \( 1: 2 \)
(3) \( 1: 3 \)
(4) \( 2: 1 \)
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