The technical term expressing the variation of wave velocity with wavelength or frequency is dispersion and the formula you found is the dispersion relation for gravity waves on the surface of water.
Relationship Between Wave Speed Frequency and. 141 v f l where v is the speed of sound in units of ms f is its frequency in units of hertz and. The frequency of a wave is defined as the number of oscillations performed by the wave at any fixed place per unit. This is the relationship between wavelength and frequency.