The displacement `y` of a wave travelling in the x-direction is given by
`y = 10^(04) sin ((600t - 2x + (pi)/(3))meters`
where `x` is expressed in meters and `t` in seconds. The speed of the wave-motion, in `ms^(-1)`, is

Options

A. (a) `300`
B. (b) `600`
C. ( c ) `1200`
D. (d) `200`

Answer

A

Explanation

(a) `y = 10^(-4) sin (600t - 2x + (pi)/(3))`
But `y = A sin (omegat - kx + Phi)`
On comparing we get `omega = 600`, `k = 2`
`v = (omega)/(k) = (600)/(2) = 300 ms^(-1)`