Geometrical OpticsHard
Question
A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If ′m′ is the refractive index of the material of the prism the maximum value of the base angle for which light is totally reflected from the hypotenuse is :-
Options
A.sin-1
B.tan-1
C.cos-1
D.sin-1
Solution
If a = maximum value of base angle for which light is totally reflected form hypotenuse.
(90o - a) = C = minimum value of angle of incidence at hypotenuse for total internal reflection
sin(90o - a) = sinC =
⇒ cosα = 
⇒ α = cos-1
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