First slide

Ray optics

Question

The speed of light in media $M_{1}$ and $M_{2}$ is $1.5 x 10^{8} m / s$ and $2 x 10^{8} m / s$ respectively. A ray of light enters from medium $M_{1}$ to $M_{2}$ at an incidence angle i. If the ray suffers total internal reflection, the value of i is :

Moderate

A

equal to or less than $S i n^{- 1}$ $(\frac{3}{5})$
B

equal to or greater than $S i n^{- 1} (\frac{3}{4})$
C

less than $S i n^{- 1} (\frac{2}{3})$
D

equal to $S i n^{- 1} (\frac{2}{3})$

Solution

$S i n C = \frac{μ_{r a r e r}}{μ_{d e n s e r}} = \frac{V_{d e n s e r}}{V_{r a r e r}} (a s V \infty \frac{1}{μ}) S i n C = \frac{1.5}{2} = \frac{3}{4} i \geq C$

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