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 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 \,\, = \,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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