Derive a relation between wave length, frequency and wave velocity.
Frequency wavelength and wave velocity are related as follows: Wave length is the distance travelled by the wave during the time a particle of the medium completes one vibration. Therefore, if λ be the wavelength and T the time period then the wave travels a distance λ and time T Hence, Wave velocity =TimeDistance ⇒v=Tλ ∴v=νλ [T1=frequency(ν)] ∴ Wave velocity= Frequency × Wavelength The wave velocity in a medium remains constant under the same physical condition.
