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Question

A ray of light incident on one face of an equilateral prism at 60 enters and leaves the prism symmetrically. Refractive index of the prism material is:

A
1.5
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B
1.62
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C
1.73
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D
1.8
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Solution

The correct option is C 1.73


Given that the prism is Equilateral. Thus, Prism angle A=60o

As the light leaves symmetrical, the condition matches with the conditions of minimum deviation. Thus, Minimum deviation angle is Dm=60o

Refractive index is given by μ=sin(A+Dm2)sin(A2)=sin(60+602)sin(602)=sin60osin30o=31.73

679725_638829_ans_5c6285120b0a469b8a0929596ca07dd6.png

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