Discussion
Which quantity describes how wave energy propagates through a medium?
Answer: D
Group velocity is the derivative of frequency with respect to wavenumber and gives the velocity at which a wave packet and its energy travel. For a dispersive wave it differs from the phase velocity, sometimes dramatically, as with Rossby waves where phase moves west while energy moves east. Distinguishing the two is essential for understanding downstream development. Naming the cost of a choice alongside its benefit is what turns a fact into a design decision.
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