Question

In the adjacent Figure 28.75, $\frac{\sin i}{\sin r}$ is

• A. is equal to $\frac{{\left({\mu }^{{}^{\prime }}\right)}^2}{{\mu }_{.}{\mu }_0}$
• B. is equal to $\frac{{\mu }^{{}^{\prime }}}{{\mu }_0}$
• C. is equal to $\frac{{\mu }_{.}{\mu }_0}{{\left({\mu }^{{}^{\prime }}\right)}^2}$
• D. cannot be calculated

Answer 1

The correct option is B is equal to $\frac{{\mu }^{{}^{\prime }}}{{\mu }_0}$

let the angle of refraction at first interface be $x$

apply Snell's law for first interface

${\mu }_{0}sini=\mu sinx$ $\to 1$

for second interface

$\mu sinx={\mu }_{1}sinr$ $\to 2$

from $e{q}_1$ & $e{q}_2$

${\mu }_{o}sini={\mu }_{1}sinr$

$\frac{sini}{sinr}=\frac{{\mu }^1}{\mu }$

option $B$ is correct