Concept explainers
The angular dispersion of visible light passing through an equilateral prism.
Answer to Problem 62AP
Explanation of Solution
The ray diagram for the beam through the prism is
Formula to calculate the refraction angle at the first surface of the prism is,
Here,
Substitute
Calculating the value of the angle
Calculating the value of the angle
Calculating the incident angle at the second surface of the prism is,
Formula for the final angle of refraction for the violet light is,
Substitute
Thus, the final refraction angle for violet is
The ray diagram for the beam through the prism is
Formula to calculate the refraction angle at the first surface of the prism is,
Here,
Substitute
Calculating the value of the angle
Calculating the value of the angle
Calculating the incident angle at the second surface of the prism is,
Formula for the final angle of refraction for the red light is,
Substitute
Thus, the final refraction angle for red is
Formula for the angular dispersion is,
Here,
Substitute
Conclusion:
Therefore, the dispersion of the emerging light is
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Chapter 22 Solutions
College Physics
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