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 $2.0\, s$ respectively then $a$ and $b$ in appropriate units are
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 $2.0\, s$ respectively then $a$ and $b$ 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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