The equation of a wave traveling along the $x$-axis is given by $y(x, t) = 0.005 \cos(\alpha x - \beta t)$. If the wavelength and time period of the wave are $0.08 \ m$ and $2.0 \ s$ respectively,find the values of $\alpha$ and $\beta$ in appropriate units.

  • A
    $\alpha = 25.00\pi; \beta = \pi$
  • B
    $\alpha = \frac{0.08}{\pi}; \beta = \frac{2.0}{\pi}$
  • C
    $\alpha = \frac{0.04}{\pi}; \beta = \frac{1.0}{\pi}$
  • D
    $\alpha = 12.50\pi; \beta = \frac{\pi}{2.0}$

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