A particle describes \( \mathrm{SHM} \) in a straight line about \( \mathrm{O} \). P. If the tim...

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A particle describes \( \mathrm{SHM} \) in a straight line about \( \mathrm{O} \).
P.
If the time period of the motion is \( \mathrm{T} \) then its kinetic energy at \( \mathrm{P} \) be half of its peak value at \( \mathrm{O} \), if the time taken by the particle to travel from \( \mathrm{O} \) to \( \mathrm{P} \) is
(1) \( \frac{1}{2} T \)
(2) \( \frac{1}{4} \mathrm{~T} \)
(3) \( \frac{1}{2 \sqrt{2}} T \)
(4) \( \frac{1}{8} T \)
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