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What is the angle of incidence of a ray if the reflected ray is at an angle of $90^{\circ}$ to the incident ray?
Given:
The reflected ray is at an angle of $90^{\circ}$ to the incident ray.
To do:
We have to find the angle of incidence of the ray.
Solution:
To find the angle of the incidence of the ray, let us know a little about what the law of reflection states:
Law of reflection:
"The angle of incidence is equal to the angle of reflection."
$\angle i=\angle r$
Here $\angle i\rightarrow$the angle of incidence
$\angle r\rightarrow$ The angle of reflection
By using the law of reflection let us find the angle of incidence of the ray:
Here, the angle between the incident ray and reflected ray is $90^{\circ}$.
$\angle i+\angle r=90^{\circ}$
Since, $\angle i=\angle r$
We can write, $\angle i+\angle i=90^{\circ}$
Or $2\angle i=90^{\circ}$
Or $\angle i=45^{\circ}$
Therefore, the angle of incidence of the ray is $45^{\circ}$.
Updated on: 10-Oct-2022
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