Question

A person goes to a jewellery shop and as he enters the shop he finds his three images. How are the mirrors arranged in the jewellery shop?

• A. Parallel to each other.
• B. Perpendicular to each other.
• C. At angle ${60}^{\circ }$ to each other
• D. At angle ${120}^{\circ }$ to each oother

Answer 1

The correct option is B Perpendicular to each other.

As we know, the number of images formed is given by
$n=\frac{{360}^{\circ }}{\theta }-1$
Here $\theta$ is the angle between mirrors and $n$ is the no. of images
$n=3$ [Given]
$\theta =\frac{{360}^{\circ }}{n+1}=\frac{{360}^{\circ }}{3+1}={90}^{\circ }$
So mirrors are perpendicular to each other.