First slide

Total internal reflection - Ray optics and optical instruments

Question

A ray of light travelling in a transparent medium falls on a surface separating the medium from air at an angle of incidence of 45°. The ray undergoes total internal reflection. If n is the refractive index of the medium with respect to air, select the possible value (s) of n from the following

Easy

A

1.3
B

1.4
C

1.5
D

1.2

Solution

For TIR i > C
$\Rightarrow sini > sinC \Rightarrow \sin 45^{\circ} > \frac{1}{n} \Rightarrow n > \sqrt{2} \Rightarrow n > 1 .4$

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