Science
Two mirrors meet at right angles. A ray of light is incident on one at an angle of 30° as shown in Fig. 13.19. Draw the reflected ray from the second mirror.
Reflection of Light
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Answer
Let MM' and M'M'' be the two plane mirrors at right angles.
The reflected ray from the second mirror is shown in the figure below:
Given that the ray is incident on mirror MM' at 30°,
∴ ∠AOX = 30°
According to the law of reflection,
∠i = ∠r
∴ ∠XOO' = ∠AOX = 30°
As OX ⊥ MM' and O'X ⊥ M'M''
∴ OX ⊥ O'X
∴ ∠OXO' = 90°
In ΔOXO', by angle sum property.
∠XOO' + ∠OXO' + ∠XO'O = 180°
⇒ 30° + 90° + ∠XO'O = 180°
⇒ ∠XO'O = 180° - 90° - 30°
⇒ ∠XO'O = 60°
∴ Angle of incidence of the ray on M'M'' = 60°
∴ Angle of reflection of the ray from M'M'' = 60° [∵ ∠i = ∠r]
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