Antinodal curves (red) mark positions where the waves from S, and S, interfere constructively. At a and b, the waves arrive in phase and interfere constructively. m = 3 m = 24 m = 1 m = 0 m = -1 m = -2 m = -3 At c, the waves arrive one half cycle out of phase and interfere destructively. m = the number of wavelengths A by which the path lengths from Sj and S2 differ.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter27: Wave Optics
Section: Chapter Questions
Problem 2CQ
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The two sources S1 and S2 shown in Fig. emit waves ofthe same wavelength λ and are in phase with each other. Suppose S1 isa weaker source, so that the waves emitted by S1 have half the amplitude of the waves emitted by S2. How would this affect the positions of the antinodal lines and nodal lines? Would there be total reinforcement at points on the antinodal curves? Would there be total cancellation at points on the nodal curves? Explain your answers.

Antinodal curves (red) mark positions where
the waves from S, and S, interfere
constructively.
At a and b, the waves
arrive in phase and
interfere constructively.
m = 3
m = 24
m = 1
m = 0
m = -1
m = -2
m = -3
At c, the waves arrive
one half cycle out of phase
and interfere destructively.
m = the number of wavelengths A by which
the path lengths from Sj and S2 differ.
Transcribed Image Text:Antinodal curves (red) mark positions where the waves from S, and S, interfere constructively. At a and b, the waves arrive in phase and interfere constructively. m = 3 m = 24 m = 1 m = 0 m = -1 m = -2 m = -3 At c, the waves arrive one half cycle out of phase and interfere destructively. m = the number of wavelengths A by which the path lengths from Sj and S2 differ.
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