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Question

The index of refraction for diamond is 2.42. For a diamond in the air (index of refraction = 1.00), what is the smallest angle that a light ray inside the diamond can make with a normal and completely reflect back inside the diamond (the critical angle)?

A
90o
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B
45o
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C
68o
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D
66o
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E
24o
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Solution

The correct option is E 24oGiven : na=1.00 nd=2.42For total internal reflection to occur, the incidence angle must be greater than the critical angle.Critical angle of diamond θ=sin−1(nand) =sin−1(1.002.42)=24oThus the smallest angle for total internal reflection to occur in diamond is 24o.

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