The equation of a progressive wave is Y = 3 s | vedclass

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(C) The standard equation of a progressive wave is $Y = A \sin \left( \omega t - kx + \phi \right)$.Comparing the given equation $Y = 3 \sin \left[ \p

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$	ext{Wavelength} = 10 	ext{ m}$

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(C) The standard equation of a progressive wave is $Y = A \sin \left( \omega t - kx + \phi ight)$.Comparing the given equation $Y = 3 \sin \left[ \pi \left( \frac{t}{3} - \frac{x}{5} ight) + \frac{\pi}{4} ight]$ with the standard form:$Y = 3 \sin \left( \frac{\pi t}{3} - \frac{\pi x}{5} + \frac{\pi}{4} ight)$.Here, Amplitude $A = 3 	ext{ m} = 300 	ext{ cm}$.Angular frequency $\omega = \frac{\pi}{3} 	ext{ rad/s}$.Wave number $k = \frac{\pi}{5} 	ext{ m}^{-1}$.$1$. Frequency $f = \frac{\omega}{2\pi} = \frac{\pi/3}{2\pi} = \frac{1}{6} 	ext{ Hz} \approx 0.167 	ext{ Hz}$.$2$. Wavelength $\lambda = \frac{2\pi}{k} = \frac{2\pi}{\pi/5} = 10 	ext{ m}$.$3$. Velocity $v = \frac{\omega}{k} = \frac{\pi/3}{\pi/5} = \frac{5}{3} \approx 1.67 	ext{ m/s}$.Comparing these results with the options, option $C$ is correct.

The equation of a progressive wave is $Y = 3 \sin \left[ \pi \left( \frac{t}{3} - \frac{x}{5} \right) + \frac{\pi}{4} \right]$ where $X$ and $Y$ are in metre and time in second. Which of the following is correct?

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