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CGP EDU Academic Team
Published on: September 12, 2026
The displacement y (in cm) produced by a simple harmonic wave is $y = \frac{10}{\pi} \sin \left( 2000 \pi t - \frac{\pi x}{17} \right)$ . The periodic time and maximum velocity of the particles in the medium will respectively be
Text Solution
Verified by ExpertsThe correct answer is:
C
Comparing with $y = a \sin(\omega t - kx)$ ⇒ ⇒ $a = \frac{10}{\pi}, \omega = 200 \pi$
$\therefore v \frac{10}{\pi} \sec_{\max}$ and $\omega = \frac{2\pi}{T} \Rightarrow 200\pi = \frac{2\pi}{T} \Rightarrow T = 10^{-3} \mathrm{sec}$
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