Geometrical OpticsHard

Question

A light ray is incident perpendicular to one face of a 90o prism and is totally internally reflected at the glass-air interface. If the angle of reflection is 45o, we conclude that the refractive index n
       

Options

A.n <
B.n > √2
C.
D.n < √2

Solution

Angle of incidence i > C for total internal reflection.
Here i = 45o inside the medium.
∴     45o > sin-1(1/n)
⇒     n > √2

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