Geometrical OpticsHard
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
Create a free account to view solution
View Solution FreeMore Geometrical Optics Questions
A plane mirror is moving with velocity 4î + 5ĵ + 8 . The point object in front of the mirror moves with a velo...The angle of a glass prism is 4.5o and its refractive index is 1.52. The angle of minimum deviation will be -...Two similar plano-convex lenses are combined together in three different ways as shown in the adjoining figure. The rati...For the given incident ray as shown in figure, the condition of total internal refraction of this ray the minimum refrac...A plano convex lens fits exactly into a plano concave lens. Their plane surfaces are parallel to each other. If lenses a...