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Question

The refracting angle of a prism is A and the refractive index of the material of the prism is cotA2. The angle of minimum deviation of the prism is
  1. π+2A
  2. π2A
  3. π2A
  4. π2+A

A
π+2A
B
π2A
C
π2+A
D
π2A
Solution
Verified by Toppr

It is given μ=cotA/2

We know that:
μ=sin(δm+A2)sinA/2

cotA/2=sin(δm+A2)sin(A/2)

cosA/2sinA/2=sin(δm+A2)sinA/2

sin(π/2A/2)=sin(δm+A2)

π/2A/2=δm+A2

π2A=δm

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