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.
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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Physics Young and Freedman 13th edition
Transcribed Image Text: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 S₂2.
(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 a 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 b, 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 by which
the path lengths from S, and Sy differ.
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