A wave travelling along the $x-$axis is described by the equation $y\left( {x,t} \right) = 0.005cos\left( {\alpha x - \beta t} \right)$ If the wavelength and the time period of the wave are $0.08\ m$ and $2.0\ s$, respectively, then $\alpha$ and $\beta$ in appropriate units are
  • A$\alpha = 12.5\pi ,\beta = \frac{\pi }{2}$
  • B$\;\alpha = 25\pi ,\beta = \pi $
  • C$\;\alpha = \frac{{0.08}}{\pi },\beta = \frac{2}{\pi }$
  • D$\;\alpha = \frac{{0.04}}{\pi },\beta = \frac{1}{\pi }$
AIEEE 2008, Medium
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