ICSE Class 10 Answered

Let the velocity of a wave be 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  [As, T = 1/n]

Therefore, v =  nλ

Therefore, Wave velocity = Frequency x wavelength