Derive an expression of wave velocity in terms of frequency and wavelength of the wave.

Answer

The velocity of transverse wave motion is given by
`v = (distance travelled by the wave)/(time taken)`
Since the distance equal to wavelength `(lambda)` istrav-elled by the wave in a time equal to the period of vibration `(T)` of the particle of the medium, we have.
`v = (lambda)/(T) = ((1)/(T))lambda`
(reciprocal of time period is frequency)
`v = vlambda`