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Question

# A trihedral prism with refracting angle 60∘ deviates a light ray by 30∘. The refractive index of the material of prism

A
may be equal to 2
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B
can not be greater than 2
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C
can not be less than 2
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D
None of these
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Solution

## The correct option is B can not be greater than √2Given : A=60∘ and δ=30∘ We know that, μ=sin(A+δm2)sin(A/2) =sin(60∘+δm2)sin(60∘/2) =sin(60∘+δm2)sin30∘ =2sin(60∘+δm2) Since one ray has been found out which has deviated by 30∘, the angle of minimum deviation should be either equal or less than 30∘, not more than 30∘. So, μ≤2sin(60∘+30∘2) ⇒μ≤√2

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