Question

A Ray Is Reflected In Turn By Two Plane Mirrors Inclined At Right Angle. Find The Angle Between Incident And Reflected Ray

Answer 1

Answer:

180 degrees

Explanation:

The rays will be parallel to each other and hence the angle will be 180 degrees .

Answer 2

The given question needs an image. Refer to the image given below:

Concept:

The angle between the incident and reflected ray can be calculated by the sum of the angle of the incident deviation.

Given:

It has been given that the ray is reflected by two plane mirrors inclined at a right angle.

Find:

We need to determine the angle between the incident and the reflected ray.

Solution:

At mirror 1:

The angle of incident of deviation, Φ₁ = 180 - (θ+θ)

Φ₁ = 180 - 2θ

At Mirror 2:

Angle of incident of deviation, Φ₂ = 180 - (90-θ + 90-θ)

Φ₂ = 2θ

Since both the calculated deviations are clockwise

Therefore, Total deviation = Φ₁ + Φ₂

Total deviation = 180 - 2θ + 2θ

Total deviation = 180

It confirms that the incident ray is reflected by an angle of 180⁰

Thus, the Angle Between Incident And Reflected Ray is 180⁰.

#SPJ2