Answer:
[tex]30.1^{\circ}[/tex]
Explanation:
Refraction is a phenomenon that occurs when light passes through the interface between two mediums.
When this occurs, the ray of light changes speed and also changes direction, according to Snell's Law:
[tex]n_1 sin \theta_1 = n_2 sin \theta_2[/tex]
[tex]n_1[/tex] is the index of refraction of the 1st medium
[tex]n_2[/tex] is the index of refraction of the 2nd medium
[tex]\theta_1[/tex] is the angle of incidence (the angle between the incident ray and the normal to the boundary)
[tex]\theta_2[/tex] is the angle of refraction (the angle between the refracted ray and the normal to the boundary)
For this problem we have:
[tex]n_1=1.00[/tex] is the index of refraction of the 1st medium (air)
[tex]n_2=1.41[/tex] is the index of refraction of the 2nd medium
[tex]\theta_1 =45^{\circ}[/tex] is the angle of incidence
Solving for the angle of refraction, we find:
[tex]\theta_2 = sin^{-1}(\frac{n_1}{n_2}sin \theta_1)=sin^{-1}(\frac{1.00}{1.41}sin 45^{\circ})=30.1^{\circ}[/tex]
