First slide

Total internal reflection - Ray optics and optical instruments

Question

Critical angle for light going from medium (i) to (ii) is $θ$ . The speed of light in medium (i) is v then speed in medium (ii) is

Moderate

A

$v (1 - cosθ)$
B

$\frac{v}{\sin θ}$
C

$\frac{v}{cosθ}$
D

$v (1 - sinθ)$

Solution

$_{2} μ_{1} = \frac{1}{sinθ} \Rightarrow \frac{μ_{1}}{μ_{2}} = \frac{1}{sinθ} \Rightarrow \frac{v_{2}}{v_{1}} = \frac{1}{sinθ} \Rightarrow \frac{v_{2}}{v} = \frac{1}{sinθ} \Rightarrow v_{2} = \frac{v}{sinθ}$

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