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Q.

A ray of light falls from air on a prism of refractive index μ=2 at an angle i with the normal. What should be the maximum value of i for which the total internal reflection will take place at side AC?

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a

45°

b

90°

c

30°

d

60°

answer is B.

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Detailed Solution

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r1+r2=75∘;for total internal reflection r2>ic

⇒r2(min)=ic=sin−112=45∘

⇒r1(max)=75o−45o=30∘

sin(i)=μsinr1(max)

⇒sin(i)=2sin(30o)⇒i=45∘

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