The two sources S₁ and S₂ shown in Fig. 35.3 emit waves of the same wavelength and are in phase with each other. Suppose S₁ is a weaker source, so that the waves emitted by S, have half the amplitude of the waves emitted by S₂. (a) How would this affect the positions of the antinodal lines and nodal lines? (b) Would there be total reinforcement at points on the antinodal curves? (c) Would there be total cancellation at points the nodal curves? Explain your answers. 35.3 The same as Fig. 35.2a, but with red antinodal curves (curves of maximum amplitude) superimposed. All points on each curve satisfy Eq. (35.1) with the value of m shown. The nodal curves (not shown) lie between each adjacent pair of antinodal curves. Antinodal curves (red) mark positions where the waves from S, and Sinterfere constructively Ata and the waves arrive in phase and interfere constructively. Atc, the waves arrive one-half cycle out of phase and interfere destructively. the number of wavelengths à by which the path lengths from S, and S. differ.

The two sources S₁ and S₂ shown in Fig. 35.3 emit waves of the same wavelength and are in phase with each other. Suppose S₁ is a weaker source, so that the waves emitted by S, have half the amplitude of the waves emitted by S₂. (a) How would this affect the positions of the antinodal lines and nodal lines? (b) Would there be total reinforcement at points on the antinodal curves? (c) Would there be total cancellation at points the nodal curves? Explain your answers. 35.3 The same as Fig. 35.2a, but with red antinodal curves (curves of maximum amplitude) superimposed. All points on each curve satisfy Eq. (35.1) with the value of m shown. The nodal curves (not shown) lie between each adjacent pair of antinodal curves. Antinodal curves (red) mark positions where the waves from S, and Sinterfere constructively Ata and the waves arrive in phase and interfere constructively. Atc, the waves arrive one-half cycle out of phase and interfere destructively. the number of wavelengths à by which the path lengths from S, and S. 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 27P

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