The equation of a progressive wave is $y = 0.02\,\sin \,2\pi \left[ {\frac{t}{{0.01}} - \frac{x}{{0.30}}} \right]$ Here $x$ and $y$ are in metre and $t$ is in second. The velocity of propagation of the wave is .... $ms^{-1}$
AIIMS 2014, Medium
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$\omega=\frac{2 \pi}{0.01}$ and $\mathrm{k}=\frac{2 \pi}{0.30}$

$v=\frac{\omega}{k}=\frac{2 \pi}{0.01} \times \frac{0.30}{2 \pi}=30 \mathrm{ms}^{-1}$

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