(a) Explanation Given info: The refractive index of equilateral glass is 1.38 and angle of incidence is 77 ° . The given diagram is shown below. Figure I The formula to calculate the Snell’s law is, n 1 sin θ = n 2 sin θ 2 Here, n 1 is the refractive index of air. n 2 is the refractive index of glass. θ is the angle of incidence. θ 2 is the angle of refraction. Rearrange the above formula for n 2 . n 1 sin θ = n 2 sin θ 2 n 2 = n 1 sin θ sin θ 2 (1) From the above figure in the right triangle A B C the angle θ c is, θ 2 + θ c = 90 ° Here, θ 2 is the angle of refraction. θ c is the critical angle. Rearrange the above expression for θ c . θ 2 + θ c = 90 ° θ c = 90 ° − θ 2 Apply the trigonometric function sin on both side in the above expression. θ c = 90 ° − θ 2 sin θ c = sin ( 90 ° − θ 2 ) sin θ c = cos θ 2 The formula to calculate the total internal reflection is, sin θ c = n 1 n 2 Substitute n 1 sin θ sin θ 2 for n 2 and cos θ r for sin θ c in the above formula (b) To determine The minimum value of n 2 is increased or decreased.

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ISBN: 9780321976444

Author: James S. Walker

Publisher: PEARSON

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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 26, Problem 57PCE

(a)

To determine

The minimum value of n2 is 1.4 .

(b)

To determine

The minimum value of n2 is increased or decreased.

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Chapter 26, Problem 56PCE

Chapter 26, Problem 58PCE

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Chapter 26 Solutions

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The minimum value of n 2 is 1.4 .

Solution Summary: The formula to calculate the Snell's law is, n_12mathrmsintheta =

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The minimum value of n2 is 1.4 .

The minimum value of n2 is increased or decreased.

Want to see the full answer?

Chapter 26 Solutions