The equation of a wave is given by
`y=a sin (100t-x/10)` where x and y are in metre an t in second, the velocity of wave is

Options

A. 0.1 m/s
B. 10 m/s
C. 100 m/s
D. 1000 m/s

Answer

D

Explanation

The standard wave equation is
`y = a sin (omega t - kx)`
The given wave equation is
`y = a sin (100 t - x/100)`
Compare it with the standard wave equation we obtain
`omega = 100 , k = 1/10`
Velocity of the wave,
`v = omega/k = 100/(1/10) = 100 xx 10 = 1000 m//s`