Question

A ray of light traveling in air is incident on the flat surface of a piece of glass at an angle of 65.9° with respect to the normal to the surface of the glass. If the ray refracted into the glass makes an angle of 34.8° with respect to the normal, what is the refractive index of the glass?

Answer 1

Answer:

$n_{glass}$ = 1.6

Explanation:

$\theta _{i}$ = Angle of incidence = 65.9°

$\theta _{r}$ = Angle of refraction = 34.8°

$n_{air}$ = Index of refraction of air = 1

$n_{glass}$ = Index of refraction of glass = ?

Using Snell's law

$n_{air}$ Sin$\theta _{i}$ = $n_{glass}$ $\theta _{r}$

(1) Sin65.9 =  $n_{glass}$ Sin34.8

$n_{glass}$ = 1.6