a. Explanation Given data: The angle β is shown in the Figure P18.57. Formula used: Write the expression for Snell’s law n air sin β = n glass sin ϕ (1) Here, n air is the refractive index of air and has the standard value of 1.00, n glass is the refractive index of water and has the standard value of 1.52, β is the angle made by the light ray with respect to the normal, and ϕ is the angle of refraction inside the prism. Modify Figure P18.57 as shown in Figure 1. From figure 1, Using triangle’s sum of the angles property, ( 90 ° − ϕ ) + ( 90 ° − ϕ ) + α = 180 ° 180 ° − 2 ϕ + α = 180 ° 2 ϕ = α ϕ = 1 2 α Substitute 1 b. To determine Prism’s index of refraction.

College Physics: A Strategic Approach (3rd Edition)

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ISBN: 9780321879721

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Dispersion of White Light

Snell’s law is a formula that gives a relation between the angle of incidence and angle of refraction and is given as:

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Chapter 18, Problem 57GP

To determine

Expression for β in terms of the prism’s apex angle α and index of refraction n.

To determine

Prism’s index of refraction.

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Chapter 18, Problem 56GP

Chapter 18, Problem 58GP

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Chapter 18 Solutions

College Physics: A Strategic Approach (3rd Edition)

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Expression for β in terms of the prism’s apex angle α and index of refraction n .

Solution Summary: The expression for the prism's apex angle alpha and index of retion n is shown in Figure P18.57.

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Expression for β in terms of the prism’s apex angle α and index of refraction n.

Prism’s index of refraction.

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Chapter 18 Solutions