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Statement of a problem № 3501

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Waves in deep water travel with phase velocity given by vp^2 = g/k, where g is the acceleration due to gravity and k is the wave number, 2pi/L. Obtain an expression for the group velocity and show that it is equal to vp /2.

Solution:
Waves in deep water travel with phase velocity given by vp^2 = g/k, where g is t

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