Answer to Question #215636 in Physics for Esther

Question

A ray of light is incidented at angle 60° in air on air glass plane surface.find the angle of refraction of the glass (aΠg =1•5) in calculation method

Answer 1

The angle of refraction is given by the Snell's law:

$\sin i\cdot n_1 = \sin r\cdot n_2$

where $i = 60\degree$ is the angle of incidence, $r$ is the angle of refraction, and $n_1 = 1, n_2 = 1.5$ are the indices of refraction of air and glass respectively.

Thus, obtain:

$r = \arcsin\left( \sin i\cdot \dfrac{n_1}{n_2} \right) = \arcsin\left( \sin60\degree\cdot \dfrac{1}{1.5} \right) \approx 35\degree$

Answer. $35\degree$.