The equation of a wave is y = 0.1 sin `(100 pi t - kx)` where x , y are in metres and t in seconds . If the velocity of the wave is 100 m/s , then the value of k is

Options

A. `1 m^(-1)`
B. `2 m^(-1)`
C. `pi m^(-1)`
D. `2 pi m^(-1)`

Answer

C

Explanation

`v = (omega)/(k) implies k = (omega)/(v) = (100 pi)/(100) = pi m^(-1)`