Question

What will the angle of refraction be for a ray of light passing from air into a sodium chloride crystal if the angle of incidence is 60.0°? The index of refraction of sodium chloride is 1.53.

Answer 1

Answer:

The refracted angle is r= 34.47°

Explanation:

According to snell's law the incident normal and refracted ray at the point of incidence all lie in the same plane

Given

incident angle i= 60°

refracted angle r= ?

index of refraction u= 1.53.

Applying the formula

$u= \frac{sine (i)}{sine( r)}$

solving for r

$1.53=\frac{ sine (60)}{ sine( r)}\\\1.53= \frac{0.866}{ sine( r)} \\\ sine( r)= \frac{0.866}{1.53} \\\sine(r)= 0.566\\\r= sine^-0.566\\\r= 34.47$

r= 34.47°