In the given progressive wave $y = 5 \sin (100\pi t - 0.4\pi x)$ What is the wave velocity?

In the given progressive wave $y = 5 \sin (100\pi t - 0.4\pi x)$ What is the wave velocity?
  1. (a) $350$
  2. (b) $250$
  3. (c) $200$
  4. (d) $180$

Solution

Here, $\omega = 100\pi$, $k = 0.4\pi$ Wave velocity, $v = \frac{\omega}{k} = \frac{100\pi}{0.4\pi} = \frac{1000}{4} = 250\text{ ms}^{-1}$

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