Concept explainers
The angular spread of the visible light passing through a prism of apex angle
Answer to Problem 39P
The angle of dispersion is
Explanation of Solution
Write the expression for the index of refraction on the first face of the prism.
Here,
Rewrite the above equation for
Write the expression for apex angle.
Here,
The emergent angle on the second face is,
Here,
Write the expression for the angle of deviation.
Here,
Write the expression for angular dispersion.
Here,
Conclusion:
Angle of refraction for red on first face of the prism is.
Substitute
Calculate the angle of incidence for red on second face of the prism.
Substitute
Substitute
Substitute
Calculate the angle of refraction for violet on the first face of the prism.
Substitute
Calculate the angle of incidence for violet on second face of the prism.
Substitute
Substitute
Substitute
Substitute
Therefore, angle of dispersion is
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Chapter 35 Solutions
Physics for Scientists and Engineers With Modern Physics
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