Concept explainers
The nth -order differection angle for the shortest wavelength and change in two angles if the distance between the screen and the grating is doubled.

Answer to Problem 10TP
The nth -order differection angle for the shortest wavelength is
Explanation of Solution
Given:
The nth -order diffraction angle for the longest wavelength is,
The longest wavelength is,
The shortest wavelength is,
Formula used:
The wavelength of constructive interference is given by,
The new distance between slits in given by,
The change in angle is given by,
Calculation:
The distance between slits is calculated as,
The nth -order differection angle for the shortest wavelength is calculated as,
The new distance between the slits is calculated as,
The nth -order differection angle for the longest wavelength when
The nth -order differection angle for the shortest wavelength when
The change in angle for longest wavelength is calculated as,
The change in angle for shortest wavelength is calculated as,
Conclusion:
The nth -order differection angle for the shortest wavelength is
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Chapter 27 Solutions
COLLEGE PHYSICS
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