Question

If two mirrors are inclined at some angle $\theta$. An object is placed between the mirrors and there are 5 images formed for an object, then $\theta$ is may be

• A. ${45}^o$
• B. ${53}^o$
• C. ${63}^o$
• D. ${75}^o$

Answer 1

The correct option is C ${63}^o$

The number of images formed by two mirrors at an angle $\theta$ is

$\begin{array}{c}n=\frac{360}{\theta }-1\\ \because n=5\left(given\right)\\ \therefore 5=\frac{360}{\theta }-1\\ \therefore \theta =\frac{360}{6}={60}^0\end{array}$

Hence, the angle may be ${63}^0$.