If the wave equation $y = 0.08\sin\frac{2\pi}{\lambda}(200t - x)$, then the velocity of the wave…

If the wave equation $y = 0.08\sin\frac{2\pi}{\lambda}(200t - x)$, then the velocity of the wave ($\text{ms}^{-1}$) will be
  1. $400\sqrt{2}$
  2. $200\sqrt{2}$
  3. $400$
  4. $200$

Solution

Comparing the given equation with standard wave equation, $y = a\sin \frac{2\pi}{\lambda} (vt - x)$ $\therefore$ We get $v = 200\text{ m/s}$

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