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For a prism kept in air, it is found that for an angle of incidence 60°, the angle of refraction A, angle of deviation and angle of emergence e become equal. Then, the refractive index of the prism is

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a

1.73

b

1.15

c

1.5

d

1.33

answer is A.

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Detailed Solution

Given i=60∘ and A=δ=eδ=i+e−A⇒δ=i(∵e=A) μ=sin⁡A+δm2sin⁡A2 Here, angle of deviation is minimum (∵ i =e)μ=sin⁡60∘+60∘2sin⁡(602)=1.73

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For a prism kept in air, it is found that for an angle of incidence 60°, the angle of refraction A, angle of deviation and angle of emergence e become equal. Then, the refractive index of the prism is