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A wave travelling along the x-axis is de...

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 = (0.08)/(pi),beta = (2.0)/(pi)`

B

`alpha = (0.04)/(pi),beta = (1.0)/(pi)`

C

`alpha = 12.50pi,beta = (pi)/(2.0)`

D

`alpha = 25.00 pi, beta = pi`

Text Solution

Verified by Experts

The correct Answer is:
4
`(2pi)/(lambda) = alpha , alpha = (2pi)/(0.05) = 25 pi , (2pi)/(T) = beta = 2 , T = pi`
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