A wave travelling along the \( x \)-axis is described by the equati...

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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
\( \mathrm{P} \) the time period of the wave are \( 0.08 \mathrm{~m} \) and \( 2.0 \mathrm{~s} \),

W respectively, then \( \alpha \) and \( \beta \) in appropriate units are
[AIEEE 2008]
(a) \( \alpha=\frac{0.08}{\pi}, \beta=\frac{2.0}{\pi} \)
(b) \( \alpha=\frac{0.04}{\pi}, \beta=\frac{1.0}{\pi} \)
(c) \( \alpha=12.50 \pi, \beta=\frac{\pi}{2.0} \)
(d) \( \alpha=25.00 \pi, \beta=\pi \)
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