The equation of a travelling wave is given by$y = 0.5\sin (20x - 400t)$ where $x$ and $y$ are in meter and $t$ is in second. The velocity of the wave is .... $m/s$
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(b) Given, $y = 0.5\sin \,(20x - 400\,t)$
Comparing with $y = a\sin (\omega t - kx)$
Gives velocity of wave $v = \frac{\omega }{k}$$ = \frac{{400}}{{20}} = 20\,m/s.$
Comparing with $y = a\sin (\omega t - kx)$
Gives velocity of wave $v = \frac{\omega }{k}$$ = \frac{{400}}{{20}} = 20\,m/s.$
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