Concept explainers
The angular spread of visible light passing through a prism.
Answer to Problem 35.39P
The angular spread of visible light passing through a prism is
Explanation of Solution
Given info: The index of refraction for violet light in silica flint glass is
The figure of light ray passing through the prism is shown as below,
The expression of the Snell’s law is,
Here,
For the red color:
Consider the angle of refraction on the first face of the prism is
Substitute
Thus, the angle of refraction on the first face of the prism is
The angle of incidence on the second face of the prism is,
Here,
Substitute
Consider the angle of refraction on the second face of the prism is
Substitute
Thus, the angle of refraction on the second face of the prism is
The angle of deviation is,
Here,
Substitute
Thus, the angle of deviation for red color is
For the violet color:
Consider the angle of refraction on the first face of the prism is
Substitute
Thus, the angle of refraction on the first face of the prism is
The angle of incidence on the second face of the prism is,
Substitute
Consider the angle of refraction on the second face of the prism is
Substitute
Thus, the angle of refraction on the second face of the prism is
The angle of deviation is,
Substitute
Thus, the angle of deviation for violet color is
The angular spread of visible light passing through a prism is,
Substitute
Conclusion:
Therefore, the angular spread of visible light passing through a prism is
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Chapter 35 Solutions
Physics For Scientists And Engineers, Technology Update, Loose-leaf Version
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