$A$ wave travelling along the $x$-axis is described by the equation $y(x, t) = 0.005 \cos(\alpha x - \beta t)$. 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
    $\alpha = \frac{0.04}{\pi}, \beta = \frac{1}{\pi}$

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