The phase velocity v of gravity waves in a liquid of depth h is given by the
Question:
The phase velocity v of gravity waves in a liquid of depth h is given by the formula
v2 = g/k tanh kh,
where g is the acceleration of free fall and k = 2π/λ is the wave number, λ being the wave length. Sketch the dispersion relation for such waves, and show that the group velocity is always between v/2 and v. Find the phase and group velocities for gravity waves of frequency 1 Hz in a liquid of depth 0.1m.
Step by Step Answer:
First we need to deduce the form of the dispersion relation k which we can do by using the fact that ...View the full answer
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