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  4. The equation of a wae is represented by y=10-4 sin (100 t-(x/10)) m, then the velocity of wave will be

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Q. The equation of a wae is represented by $y=10^{-4} \sin \left(100 t-\frac{x}{10}\right) m$, then the velocity of wave will be

AIPMTAIPMT 2001Waves

Solution:

Comparing the given equation with general equation,
$y=a \sin 2 \pi\left(\frac{t}{T}-\frac{x}{\lambda}\right)$ we get
$T=\frac{2 \pi}{100} $ and $\lambda=20 \pi $
$\therefore v=v \lambda=\frac{100}{2 \pi} \times 20 \pi=1000\, m / s$