Light is incident along the normal to face AB of a glass prism of refractive ind

Question

Light is incident along the normal to face AB of a glass prism of refractive index 1.56, as shown in the figure. (Figure 1) Part A Find a max , the largest value of the angle ? such that no light is refracted out of the prism at face AC if the prism is immersed in air Express your answer in degrees. Ignore any reflections from the surface BC. View Available Hint(s) degrees Submit Part B This question will be shown after you complete previous question(s) Provide Feedback igure 1 of 1 Incident ray

Explanation / Answer

a)

It is possible when total internal reflection occurs at AC .

n * sin(theta) = 1 * sin(90) = 1

1.56 * sin(theta) = 1

theta = sin^-1( 1 / 1.56) = 39.87 deg

alpha + theta = 90deg

alpha = 90deg - 39.87deg = 50.13 deg

if alpha is larger , theta is smaller and thus less than the critical angle , so this answer is the largest

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