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CGP EDU Academic Team
Published on: September 12, 2026
A simple harmonic oscillator has an amplitude a and time period T. The time required by it to travel from x = a to x = a / 2 is
Text Solution
Verified by ExpertsThe correct answer is:
A
It is required to calculate the time from extreme position.
Hence, in this case equation for displacement of particle can be written as $x = a \sin(\omega t + \frac{\pi}{2}) = a \cos \omega t$ $\Rightarrow \frac{a}{2} = a \cos \omega t \Rightarrow \omega t = \frac{\pi}{3} \Rightarrow \frac{2 \pi}{T} \cdot t = \frac{\pi}{3} \Rightarrow t = \frac{T}{6}$
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