Question

A bulb is placed along the angular bisector of two plane mirrors which are inclined at an angle of ${60}^{\circ }$ with each other. The number of images formed is :

• A. $5$
• B. $6$
• C. $4$
• D. $3$

Answer 1

The correct option is A $5$

From the data given in the question, mirrors are at ${60}^{\circ }$ to each other.

To find the number of images formed by the system of plane mirrors,

we find, $\frac{{360}^{\circ }}{\theta }=\frac{360}{60}=6$ (even number)

It is given that the object is placed on the angular bisector.

$\therefore$ Number of images formed by the system of plane mirrors $=\frac{360}{\theta }-1=6-1=5$

Hence, option (a) is the correct answer.

Point to remember:- The virtual image formed by a plane mirror must not be in front of the mirror or its extension.