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Question

A ray of light of pure single colour is incident on the face of a prism having angle of the prism 30 at an angle of incidence 45. The refracted ray does not change its direction as its crosses the other face and emerges out of the prism. The refractive index of the material of the prism is

A
23
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B
2
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C
2
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D
3
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Solution

The correct option is D 2
For no derviation from Face 2, it should pass normally from Face 2
We know that for a prism of Angle A and r1 and r2 as refraction angles.
A=r1+r2
30=r1+0
r1=30
By relation sini1sinr1=μ21sin45sin30=μ21
μ21=2.
820089_893086_ans_e894156a656445669050fd3ecfb83ca0.jpg

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