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  4. A wave is represented by the equation y=a sin (0.01x-2t) where a and x are in cm , velocity of propagation is:

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Q. A wave is represented by the equation $ y=a\sin \,\,(0.01x-2t) $ where $ a $ and $ x $ are in $ cm $ , velocity of propagation is:

Punjab PMETPunjab PMET 2003Waves

Solution:

Given equation is
$y=a \sin (0.01 x-2 t) \ldots$(1)
The standard equation is
$y=a \sin (k x-\omega t)$
Comparing equations (1) and (2), we get
$k=0.01$ and $\omega=2$
From the formula, velocity. is
$v=\frac{\omega}{k}=\frac{2}{0.01}=200 \,m / s$