Question

If the index of refraction for a certain glass is 1.5, and the angle of refraction is 15 degrees for a ray of light
traveling from air (index of 1) what is the angle of incidence? (in coming beam)
Round your answer to the nearest tenth of a digit. The answer is in degrees so don't worry about the units

Answer 1

Answer:

$\theta_i = 23^o$

Explanation:

The refractive index of a medium is given by the following formula:

$\eta = \frac{Sin\theta_i}{Sin\theta_r}$

where,

η = refractive index = 1.5

$\theta_i$ = angle of incidence = ?

$\theta_r$ = angle of refraction = 15°

Therefore,

$1.5 = \frac{Sin\theta_i}{Sin15^o}\\\\Sin\theta_i=(1.5)Sin15^o\\\\\theta_i = Sin^{-1}(0.388)$

$\theta_i = 23^o$