1
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Question

# A ray of light passing through an equilateral triangular prism gets deviated at least by 30. Then, the refractive index of the material of the prism must be :

A
2
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B
2
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C
3
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D
3
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Solution

## The correct option is B ≥√2The refractive index of a prism is calculated from the formula, μ=sinA+D2sinA2μ=sinA+D2sinA2.In this case, as it is an equilateral prism, the angle of prism is 60 degrees and the angle of minimum deviation is given as 30 degrees.So, μ=sin60+302sin602=sin45sin30=≥√2.Hence, the refractive index of the material of the prism must be ≥√2.

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