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clip-31121536-water-surface-splash-slow-motion--wave
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Waves on the surface of water are dispersive waves. If the wavelength is short so that surface tension provides the restoring force, the dispersion relation is ω=√((T k^3)/(ρ)), where T is the surface tension and ρis the density of water. Find expressions for the phase velocity of a sinusoidal water wave with wave number k and the group velocity of a packet of water waves with wave numbers near k. | Numerade
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