First slide

Total internal reflection - Ray optics and optical instruments

Question

A triangular prism of glass is shown in the figure. A ray incident normally to one face is totally reflected, if $θ = 45^{\circ}$ . The index of refraction of glass is

Moderate

A

Less than 1.41
B

Equal to 1.41
C

Greater than 1.41
D

None of the above

Solution

For total internal reflection $θ > C$
$\Rightarrow \sin θ > \sin C \Rightarrow \sin θ > \frac{1}{μ} or μ > \frac{1}{\sin θ} \Rightarrow μ > \frac{1}{\sin 45^{\circ}} \Rightarrow μ > \sqrt{2} \Rightarrow μ > 1 .41$

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