Concept explainers
(a)
Interpretation:
Figure 3-4 is to be redrawn with both initial waves generated on the left side of the rope to represent negative phases.
Concept introduction:
When two waves of the same phase overlap, they undergo constructive interference. The amplitude (maximum displacement) at the point where they overlap completely is the sum of the amplitudes of the individual waves. If the two waves have the same amplitude, the amplitude doubles on superimposition.
If the two waves have opposite phases, they undergo destructive interference. In destructive intereference, the amplitude is equal to the difference in the individual amplitudes. If they have the same amplitude, the result is zero amplitude (displacement).
(b)
Interpretation:
Figure 3-5 is to be redrawn with both initial waves generated on the left side of the rope to represent negative phases.
Concept introduction:
When two waves of the same phase overlap, they undergo constructive interference. The amplitude (maximum displacement) at the point where they overlap completely is the sum of the amplitudes of the individual waves. If the two waves have the same amplitude, the amplitude doubles on superimposition.
If the two waves have opposite phases, they undergo destructive interference. The amplitude at the point where they overlap is the difference in the amplitudes of the individual waves. If they have the same amplitude, the result is zero amplitude (displacement).
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