The equation of a progressive wave is $y = 8 \sin \left[ \pi \left( \frac{t}{10} - \frac{x}{4} \right) +…

The equation of a progressive wave is $y = 8 \sin \left[ \pi \left( \frac{t}{10} - \frac{x}{4} \right) + \frac{\pi}{3} \right]$. The wavelength of the wave is
  1. 8 m
  2. 4 m
  3. 2 m
  4. 10 m

Solution

From the given equation, $k = \frac{2\pi}{\lambda} = \frac{\pi}{4} \Rightarrow \lambda = 8\text{ m}$

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