Question

Problem 18.16 Review 1 Constants Periodic Table Part A Figure 1) shows a ray of light entering an equilateral prism, with all sides and angles equal to each other The ray traverses the prism parallel to the bottom and emerges at the same angle at which it entered 118-400 , what is the index of refraction of the prism? Figure < 1 of 1 > prism Previous Answers Request Answer X Incorrect: Try Again; 18 attempts remaining Provide Feedback

Answer 1

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$\theta$ = 40^o

Angle of incidence = $\theta$₁

$\theta$ + $\theta$₁ = 90

$\theta$₁ = 50^o

Angle of refraction = $\theta$₂

From the figure at the interface point,

$\theta$ + $\theta$₁ + 90 + 60 + $\theta$₂ + 90 = 360

40 + 50 + 90 + 60 + $\theta$₂ + 90 = 360

$\theta$₂ = 30^o

Index of refraction of air = n₁ = 1.0003

Index of refraction of prism = n₂

By Snell's Law,

n₁Sin$\theta$₁ = n₂Sin$\theta$₂

(1.0003)Sin(50) = n₂Sin(30)

n₂ = 1.532

Index of refraction of the prism = 1.532