When two pure tones with similar frequencies combine to produce beats, the result is a train of wave packets. That is, the sinusoidal waves are partially localized into packets. Suppose two sinusoidal waves of equal amplitude A, traveling in the same direction, have wave numbersk and k + Δk and angular frequenciesω andω + Δω, respectively. Let Δx be the length of a wave packet, that is, the distance between two nodes of the envelope of the combined sine functions. What is the value of the productΔxΔk?
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