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Statement of a problem № 3496

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The dispersion relation for water waves of very short wavelength in deep water is w^2 =s/p k^3 , where S is the surface tension and s is the density. (a) What is the phase velocity of these waves? (b) What is the group velocity? (c) Is the group velocity greater or less than the phase velocity?

Solution:
The dispersion relation for water waves of very short wavelength in deep water i

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