Use dimensional analysis to determine the dispersion relation (k) for surface tension waves (up to a multiplicative

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Use dimensional analysis to determine the dispersion relation ω(k) for surface tension waves (up to a multiplicative constant), which can only depend on the surface tension σ, the density ρ, and the wave number k. Find the phase velocity and the group velocity, and show that vg = 3vp/2. Describe how you could distinguish visually between gravity waves and surface waves by observing the way that individual wave crests move through a wave packet.

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The Physics of Energy

ISBN: 978-1107016651

1st edition

Authors: Robert L. Jaffe, Washington Taylor

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