Question

Establish a relation between velocity, frequency and wavelength of the wave

Answer 1

Frequency wavelength and wave velocity are related as follows:

1. Wave length is the distance travelled by the wave during the time a particle of the medium completes one vibration.
2. Therefore, if λ be the wavelength and T the time period then the wave travels a distance λ and time T.

Hence,

,$$\begin{gathered} Wavevelocity=Time\times Dis\tan ce \\ \Rightarrow v=T\lambda \\ \therefore v=\nu \lambda [T1=frequency(\nu \left)\right] \\ \therefore Wavevelocity=Frequency\times Wavelength \end{gathered}$$