Question

Two plane mirrors inclined at ${45}^{\circ }$ to each other. If an object is placed between them, then the number of images formed will be-

• A. $4$
• B. $5$
• C. $6$
• D. $7$

Answer 1

The correct option is D $7$

Given, the angle between the mirrors is, $\theta ={45}^{\circ }$

No of images formed will be,

$n=\frac{360}{\theta }-1\left[\text{If}\frac{360}{\theta }\text{is even}\right]$

$\therefore n=\frac{360}{45}-1=8-1=7$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(D\right)$ is the correct answer.