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

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(B) The general equation for a progressive wave is $Y = a \sin (\omega t - kx)$.Comparing this with the given equation $Y = a \sin (2 \pi n t - \frac{

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$\frac{2 \pi a}{5}$

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(B) The general equation for a progressive wave is $Y = a \sin (\omega t - kx)$.Comparing this with the given equation $Y = a \sin (2 \pi n t - \frac{2 \pi x}{5})$:Angular frequency $\omega = 2 \pi n$.Wave number $k = \frac{2 \pi}{5}$.Wave velocity $v = \frac{\omega}{k} = \frac{2 \pi n}{2 \pi / 5} = 5n$.Particle velocity $v_p = \frac{dY}{dt} = a \omega \cos (\omega t - kx)$.Maximum particle velocity $v_m = a \omega = a (2 \pi n) = 2 \pi n a$.The ratio of maximum particle velocity to wave velocity is $\frac{v_m}{v} = \frac{2 \pi n a}{5n} = \frac{2 \pi a}{5}$.

The equation of a progressive wave is $Y = a \sin 2 \pi (n t - \frac{x}{5})$. The ratio of maximum particle velocity to wave velocity is

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