Question

Obtain the relation between wavelength, velocity, and frequency of a wave?

Answer 1

Relation between wavelength frequency and period of a wave:

Step1: Assumption:

Suppose,

The velocity of a wave is$V$,

The period is T and the frequency is$n$.

The wavelength is λ.

Step2: Finding wavelength,

By the definition of wavelength,

Wavelength = Distance traveled by the wave in one time period, i.e., in T second.

Or, wavelength = Wave velocity x Time Period

Or, $\lambda =v\times T$

Taking $v$ on L.H.S,

Or $v=\lambda \times n$

Therefore, Wave velocity = Frequency x wavelength.

Hence, Wave velocity = Frequency x wavelength.