Question

a light ray is incident on a plane mirror, which after getting reflected strikes another plane mirror as shown.The angle between the two mirrors is 60.Find the angle theta

Answer 1

60° and 30° are theta angles

Answer 2

Answer:

The value of angle Ф = 60°

Explanation:

Given,

A light ray is incident on a plane mirror, which after getting reflected strikes another plane mirror as shown.

The angle between the two mirrors is 60.

To find: The angle Ф.

Solution:

We will be drawing the ray diagram and observing them we will write the equations suitable to find the value of angle Ф.

From the figure attached,

2i₁ + 2i₂ + Ф = 180º ....(i)

90º – i₁ + 90º – i₂ + 60º = 180º

i₁ + i₂ = 60º ....(ii)

from eq. (i) and (ii)

120º + Ф = 180º

or, Ф = 60º

Therefore, The value of angle Ф = 60°