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Q.

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

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a

90° - A

b

180° + 2A

c

180° - 3A

d

180° - 2A

answer is D.

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Detailed Solution

As μ=sinA+δ2sinA2cotA2=sinA+δ2sinA2 ∵μ=cotA2cosA2sinA2=sinA+δ2sinA2sinπ2-A2=sinA2+δ2;π2-A2=A2+δ2∴ δ=π-2A=180°-2A
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