The prism in the figure below is symmetric (i.e., its face forms an isosceles tr

Question

The prism in the figure below is symmetric (i.e., its face forms an isosceles triangle). If the ray shown is perpendicular to the bottom surface of the prism and just barely undergoes total internal reflection at its first reflection (i.e., it strikes the interface at the critical angle) at the left face of the prism, what is the index of refraction of the prism? (Assume ? = 86.)

The prism in the figure below is symmetric (i.e., its face forms an isosceles triangle). If the ray shown is perpendicular to the bottom surface of the prism and just barely undergoes total internal reflection at its first reflection (i.e., it strikes the interface at the critical angle) at the left face of the prism, what is the index of refraction of the prism? (Assume ? = 86.)

Explanation / Answer

critical angle = (180 - 86)/2 = 47

u = 1/sinC = 1.37

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