Question

If the angle between two plane mirrors is acute, the number of images formed with an object along the angular bisector will be:

• A. more than $3$
• B. less than $3$
• C. more than $1$
• D. equal to zero

Answer 1

The correct option is A more than $3$

Let us consider a situation where two plane mirrors are at right angles to each other.

We find, $\frac{360}{\theta }=\frac{360}{90}=4$ (even)

Then, number of images formed by the system of plane mirrors is

$n=(\frac{360}{90}-1)=3$

Further, if we increase the angle, i.e when the angle is obtuse, the number of images will become less than $3$.

And, if we decrease the angle, i.e. when the angle is acute, the number of images will become more than $3$.