The displacement y of a wave travelling in the x-direction is given by
`y = 10^(-4) sin (600t - 2x + (pi)/(3)) m`
Where x is expressed in metre and t in seconds. The speed of the wave motion in m/s is

Options

A. 300
B. 600
C. 1200
D. 200

Answer

A

Explanation

The given equation of wave, `Y = 10^(-4)sin(600t - 2x + (x)/(3))` .. (i)
Standard equation of wave
`Y = a sin (omegat - kx +phi)` .. (ii)
Now, comparing Eqs. (i) and (ii), we get
`omega = 600 rad s^(-1)` and `k = 2m^(-1)` ` therefore ` Velocity of wave =`(omega)/(k) = (600)/(2) = 300 m s^(-1)`