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

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A particle executes \( \mathrm{SHM} \) of type \( \mathrm{x}= \) asin \( \omega \mathrm{t} \). It takes
\( \mathrm{P} \) time \( t_{1} \) from \( x=0 \) to \( x=\frac{a}{2} \) and \( t_{2} \) from \( x=\frac{a}{2} \) 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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