Question

Two plane mirrors are at right angles to each other. A man stands between them and combs his hair with his right hand. How many of the images will be formed:

• A. $2$
• B. $1$
• C. $3$
• D. None

Answer 1

The correct option is C $3$

The number of images formed by two planes mirrors at an angle is given by:

$n=\frac{{360}^{\circ }}{\theta }-1$ (if $\frac{{360}^{\circ }}{\theta }$ is even or $n$ is odd)

or $n=\frac{{360}^{\circ }}{\theta }$ - $1$ (if $\frac{{360}^{\circ }}{\theta }$ is odd or $n$ is even)

Number of images , $n=\frac{360}{\theta }-1$

Here $\theta ={90}^{\circ }$ so, $n=\frac{360}{90}-1=3$

So he will see 3 images of him.