Question

deduce a relation between wave velocity wavelength and frequency of a wave​

Answer 1

Answer:

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 = Distance/Time

⇒v= λ/T

∴v=νλ [ 1/T=frequency(ν)]

∴ Wave velocity= Frequency × Wavelength

The wave velocity in a medium remains constant under the same physical condition.