The equation of a progressive wave is y = 0.2 | vedclass

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(A) The standard equation of a progressive wave is $y = A \sin (\omega t - kx)$.Given equation: $y = 0.2 \sin \left( \frac{2\pi t}{0.01} - \frac{2\pi

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(A) The standard equation of a progressive wave is $y = A \sin (\omega t - kx)$.Given equation: $y = 0.2 \sin \left( \frac{2\pi t}{0.01} - \frac{2\pi x}{0.3} ight)$.Comparing this with the standard form,the angular frequency $\omega = \frac{2\pi}{0.01} 	ext{ rad/s}$ and the wave number $k = \frac{2\pi}{0.3} 	ext{ rad/m}$.The velocity of propagation $v$ is given by $v = \frac{\omega}{k}$.Substituting the values: $v = \frac{2\pi / 0.01}{2\pi / 0.3} = \frac{0.3}{0.01} = 30 	ext{ m/s}$.

The equation of a progressive wave is $y = 0.2 \sin 2\pi \left[ \frac{t}{0.01} - \frac{x}{0.3} \right]$,where $x$ and $y$ are in meters and $t$ is in seconds. The velocity of propagation of the wave is .... $m/s$.

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