Wave Speed Relation

Wave Speed Relation — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.

Wave Speed Relation Universal to all periodic traveling waves, including mechanical waves (sound, water) and electromagnetic waves (light, radio). Define speed (v) as distance traveled divided by time. Consider the propagation of exactly one wave cycle. The distance traveled by one cycle is the wavelength ( ). The time taken for one cycle to pass is the period (T). Therefore, v = / T. Substitute the definition of frequency f = 1/T to obtain v = f . Strictly applies to periodic waves. Assumes the medium is non-dispersive (wave speed is constant regardless of frequency) for the simple inverse relationship between frequency and wavelength. Thinking that increasing the frequency of a sound wave increases its speed (speed is determined by the medium, so wavelength decreases instead). Confusing the wave propagation speed (v) with the transverse particle velocity in the medium.