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

`\theta_i = 23^o`

Step-by-step explanation:

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

`\eta = (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 = (Sin\theta_i)/(Sin15^o)\\\\Sin\theta_i=(1.5)Sin15^o\\\\\theta_i = Sin^(-1)(0.388)\\\\`

`\theta_i = 23^o`