Solved: Consider a single-slit diffraction experiment in

Chapter 36, Problem 18E

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QUESTION:

Consider a single-slit diffraction experiment in which the amplitude of the wave at point O in Fig.36.5a is \(E_{0}\). For each of the following cases, draw a phasor diagram like that in Fig. 36.8c and determine graphically the amplitude of the wave at the point in question. (Hint: Use Eq. (36.6) to determine the value of \(\beta\) for each case.) Compute the intensity and compare to Eq. (36.5). (a) \(\sin \theta=\lambda / 2 a\)(b) \(\sin \theta=\lambda / a\) (c) \(\sin \theta=3 \lambda / 2 a\).

Equation Transcription:

Text Transcription:

E_0

Beta

Sin theta = lambda/2a;

Sin theta = lambda/a;

Sin theta = 3 lambda/2a

Questions & Answers

QUESTION:

Consider a single-slit diffraction experiment in which the amplitude of the wave at point O in Fig.36.5a is \(E_{0}\). For each of the following cases, draw a phasor diagram like that in Fig. 36.8c and determine graphically the amplitude of the wave at the point in question. (Hint: Use Eq. (36.6) to determine the value of \(\beta\) for each case.) Compute the intensity and compare to Eq. (36.5). (a) \(\sin \theta=\lambda / 2 a\)(b) \(\sin \theta=\lambda / a\) (c) \(\sin \theta=3 \lambda / 2 a\).

Equation Transcription:

Text Transcription:

E_0

Beta

Sin theta = lambda/2a;

Sin theta = lambda/a;

Sin theta = 3 lambda/2a

ANSWER:

Solution 18E

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