A wave travelling along the $x$-axis is described by the equation $y(x, t)=0.005$ $\cos \,\left( {\alpha \,x - \beta t} \right).$ If the wavelength and the time period of the wave are $0.08$ $m$ and $2.0s$, respectively, then $\alpha $ and $\beta $ in appropriate units are

Question

$\alpha = 25.00\pi ,\,\beta = \pi $

$\alpha = {{0.08} \over \pi },\,\beta = {{2.0} \over \pi }$

$\alpha = {{0.04} \over \pi },\,\beta = {{1.0} \over \pi }$

$\alpha = 12.50\pi ,\,\beta = {\pi \over {2.0}}$

Solution

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