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)?
90∘
45∘
68∘
66∘
24∘
A
68∘
B
24∘
C
45∘
D
66∘
E
90∘
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Solution
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For a light ray incident on the air-diamond surface to completely reflect back of the smallest possible angle is μsinimin=1
⟹imin=sin−1(1μ)
=sin−1(12.42)=24∘
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