Equation of a standing wave is generally expressed as `y=2Asinomegatcoskx`. In the equation quantity `(omega)/(k)` represents

Options

A. The transverse speed of the particles of the string
B. The speed of either of the component waves
C. The speed of the standing wave
D. A quantity that is independent of the properties of the string

Answer

B

Explanation

Equation of the component waves are :
`y = A sin (omegat - kx)` and `y = A sin (omegat + kx)`
Where `omegat - kx` = constant or omegat + kx = cosntant Diffeentaiting w.r.t 't',
`omega - k (dx)/(dt) = 0` and `omega + k(dx)/(dt ) = 0`
`v = (dx)/(dt) = (omega)/(k)` and `v = - (omega)/(k)`
This represents the speed of component waves.