There is a way to predict how much the light will bend when it crosses the boundary between two materials. If the light is incident from a material with index of refraction $n_1$ at an angle of ${}_1$ and, after it crosses the boundary into a material with index $n_2$ it is at an angle ${}_2,$ the equation relating all these quantities is called Snell's Law:

$n_{1}sin{}_1=n_{2}sin{}_2$

The angle ${}_1$ is marked in the figure with one curved line and angle ${}_2$ is marked with three curved lines.

In this exercise you will figure out the index of refraction of a piece of glass by observing a light ray passing through glass into air and measuring the angles ${}_1$ and ${}_2.$ Note that index of refraction of air $(n_2)$ is $1.$ Watch the video in the time interval $0$:$14-0$:$55$ and take measurements for $3$ different instances.

Data:

Index of refraction of glass $=1\mathrm{.}52$

$\backslash$table$[[$Trial$,{}_1,{}_2,n_1=\frac{sin{}_2}{sin{}_1},\%$ Error$],[1,,,,],[2,,,,],[3,,,,]]$

Conclusions:

What conclusions can you draw between the incident and reflected angles?

What do you think were the main sources of errors in part $2?$

$3$