# What is the relation between wavelength, frequency and velocity?

The velocity of a wave is v, time period T, frequency n and wavelength λ.

By the definition of wavelength,

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

Or, wavelength = Wave velocity x Time period

Or, λ = v x T

Or, λ = v x 1/n [ T = 1/n]

Therefore, v = nλ

Therefore, Wave velocity = Frequency x wavelength