Question
If a light ray strikes a mirrored surface at an angle of 22° to the surface, what is the angle of incidence?
158°
68°
338°
30°
158°
68°
338°
30°
Answers
GPT-4o mini
To find the angle of incidence when a light ray strikes a mirrored surface at an angle of 22° to the surface, you can use the relationship between the angle of incidence and the angle at which the ray strikes the surface.
The angle of incidence (θ_i) is measured from the normal (a line perpendicular to the surface) to the incoming ray, while the angle of incidence to the surface is the complement of the angle to the normal.
The angle made with the surface (22°) can be used to find the angle of incidence by considering that:
\[
\text{Angle to the normal} = 90° - \text{Angle to the surface}
\]
So here:
\[
\text{Angle to the normal} = 90° - 22° = 68°
\]
Thus, the angle of incidence is 68°. Therefore, the correct answer is:
**68°**.
The angle of incidence (θ_i) is measured from the normal (a line perpendicular to the surface) to the incoming ray, while the angle of incidence to the surface is the complement of the angle to the normal.
The angle made with the surface (22°) can be used to find the angle of incidence by considering that:
\[
\text{Angle to the normal} = 90° - \text{Angle to the surface}
\]
So here:
\[
\text{Angle to the normal} = 90° - 22° = 68°
\]
Thus, the angle of incidence is 68°. Therefore, the correct answer is:
**68°**.