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14

Dispersion of sound in air, with constant temperature and pressure, is very slight, increasing for very short wavelengths, and for very loud noises. Why? Because the rapid sequence of weak compression/decompression steps as the sound propagates are adiabatic, or energy-conserving, for the normal ranges of sound. This leaves the local pressure, temperature ...


5

Take a look at Griffiths Introduction to Electrodynamics, particularly the section called "The Frequency Dependence of Permittivity". Dispersion can arise from the constraints, or bound nature, of the constituent particles in a given medium. For the example of optical dispersion in a dielectric medium, we could picture the electrons as bound, damped ...


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Definitions deep water limit : when the wavelength of the mode/wave is much less than the depth of the water shallow water limit : when the wavelength of the mode/wave is much larger than the water depth Answer Why do longer wavelengths travel faster? In the deep water limit, the phase speed of, say, a gravity wave is $V_{ph} \propto ...



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