Concept explainers
(a)
The proof for the statement, “the minimum deviation satisfies the equation
(a)
Answer to Problem 125PQ
The proof for the statement, “the minimum deviation satisfies the equation
Explanation of Solution
Write the expression for refraction law at left side of the given prism.
Here,
Write the expression for angle of deviation of the given prism.
Here,
Write the relation among various angles from the geometry of the prism.
Here,
For minimum deviation, refracted angle at both faces must be equals.
For minimum deviation, incidence angle at both faces must be equal.
Substitute
Substitute
Here,
Further, substitute
Therefore, the refractive index is,
Conclusion:
Therefore, refractive index is
(b)
The minimum deviation angle.
(b)
Answer to Problem 125PQ
The minimum deviation angle is
Explanation of Solution
Use the approximation method for angle.
Conclusion:
Substitute
Therefore, minimum deviation angle is
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Chapter 38 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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