A wave travelling along x- axis is described by equation y (x, t ) = 0.005 cos (α x - β t ) . If w

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14.Waves and Sound

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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 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

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

Solution

$\mathrm{K}=\alpha=\frac{2 \pi}{0.08}=25 \pi$

$\mathrm{w}=\beta=\frac{2 \pi}{2}=\pi$

Standard 11

Physics

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