A standing wave is represeneted by `y=asin (100t)cos (0.01)x`, `t` in second and `x` is in metre. Velocity of wave is

Options

A. 1 m/s
B. Not derivable from the above data
C. `10^(4) m//s`
D. `10^(-4) m//s`

Answer

C

Explanation

Comparing the equation of the wave,
` y = A sin ( 100 t) cos ( 0. 01 x) `
with the standard equation , ` y = A sin ( omega t) cos ( Kx)`
We get ` omega = 100 " and " K = 0.01`
` :. ` The velocity of the wave , ` v = omega/K`
` :. v = 100/(0.01) = 10^(4) ` m/s