7.1.4—The definitions of speed, frequency and wavelength, the wave equation v = f
- Syllabus
- 9702–2028–2029
- Objective
- 7.1.4
- Level
- AS
For a progressive wave, v=fλ, where v is speed, f frequency and λ wavelength. The relation follows because one wavelength travels in one period.
Use frequency in hertz and wavelength in metres. In a fixed medium, changing frequency generally changes wavelength so that the speed remains set by the medium.
A 250 Hz sound wave with wavelength 1.36 m travels at 340 m s⁻¹.
Frequency is set by the source, while speed is not automatically equal to frequency; do not confuse v with particle oscillation speed.