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(C) The standard equation for a simple harmonic wave is $y = a \sin(\omega t - kx)$.Comparing the given equation $y = \frac{10}{\pi} \sin \left( 2000\

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$10^{-3} \, s$ and $200 \, m/s$

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(C) The standard equation for a simple harmonic wave is $y = a \sin(\omega t - kx)$.Comparing the given equation $y = \frac{10}{\pi} \sin \left( 2000\pi t - \frac{\pi x}{17} ight)$ with the standard equation,we get:Amplitude $a = \frac{10}{\pi} \, cm = \frac{0.1}{\pi} \, m$ (since $1 \, cm = 10^{-2} \, m$).Angular frequency $\omega = 2000\pi \, rad/s$.$1$. Maximum velocity of the particles $(v_{\max})$:$v_{\max} = a\omega = \left( \frac{0.1}{\pi} ight) 	imes (2000\pi) = 0.1 	imes 2000 = 200 \, m/s$.$2$. Periodic time $(T)$:We know $\omega = \frac{2\pi}{T}$.$2000\pi = \frac{2\pi}{T} \implies T = \frac{2\pi}{2000\pi} = \frac{1}{1000} = 10^{-3} \, s$.Therefore,the periodic time is $10^{-3} \, s$ and the maximum velocity is $200 \, m/s$.

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

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