Answer to Question #94262 in Optics for Sridhar

Question

.A container made of glass refractiveindex=1.5 contains a liquid.
A ray of light passing through the liquid falls on the bottom of the container at an angle of incidence =tan^(-1)(0.9)" and completely polarized.The ray should strike the bottom of the container at an angle of incidences so that it undergoes total internal reflection

Answer 1

Brewster's law is given by formula

$θ_1=\arctan {\frac {n_2}{n_1}} (1)$

In our case, we have n₂=1.5

Using (1) we get n₁=1.67

We can write for total internal reflection

$θ_2=\arcsin {\frac {n_2}{n_1}} (2)$

Using (2) we get θ₂=64°

Answer

64°