A wave travelling along the x-axis is described by the equation `v(x, t) = 0.005 cos(alpha x - betat)`. If the wavelength and the time period of the wave are `0.08m` and `2.0s`, respectively, then `alpha and beta` in appropriate units are

Options

A. `alpha =25.00pi,beta =pi`
B. `alpha =(0.08)/(pi),beta =(2.0)/(pi)`
C. `alpha =(0.08)/(pi),beta =(2.0)/(pi)`
D. `alpha =12.50 pi,beta =(pi)/(2.0)`

Answer

A

Explanation

`y = 0.005 cos (alpha x - beta t)`
comparing the equation with the standard form
`y=A cos[((x)/(lamda)-(t)/(T))2pi]`
`rArr 2pi//lamda=alpha and 2pi//T = beta`
`rArr alpha=2pi//0.08 =25.00pi and beta =pi`