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 in $0.08\ m$ and $2.0\ s$ respectively then $\alpha $ and $\beta $ in appropriate units are
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 in $0.08\ m$ and $2.0\ s$ respectively then $\alpha $ and $\beta $ in appropriate units are
- 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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