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=` constant
Differentiating `w.r.t. 't':`
`omega-k(dx)/(dt)=0` and `omega +k(dx)/(dt)=0`
`rArr v=(dx)/(dt)=(omega)/(k)` and `v=-(omega)/(k)`
`i.e.,` the speed of component waves is `((omega)/(k))`
Hence `(B)`