First slide

Plane mirror

Question

A ray is reflected in turn by three plain mirrors mutually at right angles to each other. The angle between the incident and the reflected rays is

Moderate

A

90°
B

60°
C

180°
D

None of these

Solution

Ray after reflection from three mutually perpendicular mirrors becomes anti-parallel.
$\begin{array}{rcl} δ & = & δ_{1} + δ_{2} + δ_{3} \\ = & (180^{0} - 2 θ) + (180^{0} - 2 (90^{0} - θ)) + 0^{0} \\ = & 180^{0} \end{array}$
The ray never touch the third plane.

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