Wave OpticsHard

Question

The critical angle for the material of a prism is 45o and its refracting angle is 30o. A monochromatic ray goes out perpendicular to the surface of emergence from the prism. Then the angle of incidence on the prism will be :

Options

A.60o
B.75o
C.45o
D.30o

Solution

       
In this case
r + r′ = A ⇒ r + 0 = 30o ⇒ r = 30o
μ = ⇒ μ = ⇒ μ = √2
Now, = μ ⇒ = √3
sin A = sin 30o√2 = × √2 =
A = 45o

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