AIPMT | 2015Geometrical OpticsEasy
Question
The refracting angle of a prism is A, and refractive index of the material of the prism is cot(A/2). The angle of minimum deviation is :-
Options
A.180o − 2A
B.90o − A
C.180o + 2A
D.180o − 3A
Solution
μ = 
∵ μ = cot (A / 2)
∴ cot (A / 2) =
⇒ cos (A / 2) =
⇒ 90o − A / 2 =
⇒ δm = 180o − 2A
∵ μ = cot (A / 2)
∴ cot (A / 2) =
⇒ cos (A / 2) =
⇒ 90o − A / 2 =
⇒ δm = 180o − 2A
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