A ray of light is incident at 50° on the middle of one of the two mirrors arranged at an angle of 60° between them. The ray then touches the second mirror, get reflected back to the first mirror, making an angle of incidence of 

Complete Answer:

First Reflection:

The ray of light is incident on the first mirror at an angle of 50°.

According to the law of reflection, the angle of reflection from the first mirror is also 50°.

Therefore, the angle between the reflected ray and the normal is 50°, and thus the reflected ray leaves at an angle of 50° to the normal of the first mirror.

Geometry Between Mirrors:

The two mirrors are inclined at an angle of 60° with each other.

To determine the angle at which the reflected ray strikes the second mirror, we need to consider the geometry involving the angles between the mirrors.

Since the mirrors are inclined at 60°, the angle of incidence on the second mirror can be determined by subtracting the reflected angle from 180° (since the incident ray and the reflected ray form a triangle with the angle between the mirrors).

Calculating the Angle of Incidence on the Second Mirror:

The angle formed between the first reflected ray and the normal to the second mirror will be:

180^∘−(60^∘+50^∘ )= 70^∘

Therefore, the angle of incidence on the second mirror is 70°.

Final Answer:

The angle of incidence when the ray hits the second mirror is 70°.