Wavelength :
The distance between two consecutive compressions or rarefactions is called wavelength.
Relation between wavelength, frequency, and wave speed :
1. Speed of sound can be defined as the distance by which a point on the wave, such as a compression or rarefaction, travels in unit time.
2. Let the distance travelled by a wave in T seconds = λ meters
3. The distance travelled by a wave in 1 second = λ / T meters
4. Thus by definition of speed of wave, v = λ / T ………… (1)
5. We know that frequency and time period are related as o = 1 / T ……….. (2)
6) From (1) and (2) we get v = λ . u ⇒ λ = v / u
∴ Wavelength = Speed of sound / Frequency