Two plane mirrors are inclined at an angle of 45^o with each other. The number of images formed by them when a point sized object is placed on their bisector is :

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Solution

The correct option is B. 7.
Given,
Angle between the two mirrors = $θ = 45^{o}$
We know that,
The number of images formed by two mirrors inclined at an angle $θ$ is given by,
$n = \frac{360^{o}}{θ} - 1$ when $\frac{360^{o}}{θ}$ is odd.
$\Rightarrow n = \frac{360^{o}}{45^{o}} - 1 = 7$
Hence, Seven (7) images will be formed.

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