Concept explainers
(a)
The number of directions on the other side of the array for maximum intensity.
(a)
Answer to Problem 45P
The number of directions on the other side of the array for maximum intensity is three.
Explanation of Solution
Given info: Temperature of air is
The wavelength for a diffraction grating can be given as,
Here,
Substitute
The condition for the bright fringe in diffraction can be given as,
Here,
Substitute
The maximum number of direction possible can be given as,
Here,
Substitute
Thus, the number of directions on the other side of the array for maximum intensity is three.
Conclusion:
Therefore, the number of directions on the other side of the array for maximum intensity is three.
(b)
The angle for each of the directions relative to the direction of the incident beam.
(b)
Answer to Problem 45P
The angle for each of the directions relative to the direction of the incident beam is
Explanation of Solution
Given info: Temperature of air is
The condition for a diffraction grating as in equation (1) can be given as,
Rearrange the above expression for
Substitute
As the range of sine function is
Substitute
Thus,
Substitute
Thus,
Substitute
Thus,
Conclusion:
Therefore, the angle for each of the directions relative to the direction of the incident beam is
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Chapter 27 Solutions
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