Final answer:
In deep water, wave dispersion is governed by the wavelength rather than the water depth, with longer wavelengths resulting in greater wave celerity.
Step-by-step explanation:
For deep water wave dispersion, it is the wavelength that governs the dispersion, not the water depth. Wave dispersion refers to the phenomenon where waves of different wavelengths travel at different speeds.
In deep water, the dispersion of waves is a function of their wavelength as the wave celerity (or wave speed) is proportional to the square root of the wavelength divided by the period of the wave (or inversely proportional to the square root of the wave period) for gravity waves on the surface of deep water. Therefore, longer waves travel faster than shorter waves in deep water, leading to dispersion.