Concept explainers
To Sketch: The result for each of the three cases.
Explanation of Solution
Introduction:
According to the superposition principle, two waves moving in opposite direction get superimpose to each other and form a new wave which could have greater, lesser or zero amplitude.
Let, the amplitude of each wave be
Case: 1
The amplitude of new wave gets double when two waves of same amplitude superimpose to each other in same phase i.e. crest of one wave superimpose to the crest of another wave or vice versa.
Therefore, the sketch:
Case 2:
When a crest lands on a trough of the same magnitude, they cancel each other, and no displacement occurs.
If
Therefore, the sketch:
Case 3:
One can see from the calculation that the second wave’s amplitude is double that of the first. If the first wave’s amplitude is
Therefore, the sketch:
Conclusion:
Hence, the sketches of resultant waves for all three cases is shown.
Chapter 14 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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