Geometrical OpticsMedium
Question
The diagram shows five isosceles right angle prisms. A light ray incident at 90o at the first face emerges at same angle with the normal from the last face. Which of the following relations hold regarding the refractive indices ?
Options
A.μ12 + μ32 + μ52 = μ22 + μ42
B.μ12 + μ32 + μ52 = 1 + μ22 + μ42
C.μ12 + μ32 + μ52 = 2 + μ22 + μ42
D.None of these
Solution
1 sin 90o = μ1 sin r1 ; μ2 sin r2 = μ1 cos r1
μ2 cos r2 = μ3 sin r3
μ4 sin r4 = μ3 cos r3 ; μ4 cos r4 = μ5 sin r5
1.90o = μ5 cos r5
Square and add 1 + μ22 + μ42 = μ12 + μ32 + μ52
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