Question

Two plane mirrors are at ${45^0}$ to each other. If an object is placed between them then the number of images will be:
A. 5
B. 9
C. 7
D. 8

Answer 1

Hint: To solve this problem, use the concept of virtual images. Draw a diagram of the two mirrors and the object placed between them. Trace the path of the light rays reflecting off of both mirrors to determine the number of images formed.

Complete step by step solution:
First, we can draw a diagram of the two mirrors and the object placed between them. This will help us visualise the light rays reflecting off of each mirror and the position of the images.Trace the path of the light rays reflecting off of both mirrors. As the light rays reflect off of one mirror, it will reflect off of the second mirror and form another image, and this process will continue.Count the number of virtual images formed by the light rays reflecting off of both mirrors.

Because when light rays reflects from the two mirrors at $45^0$ to each other, it forms 8 images.


Hence option C is the correct answer.

Note:A virtual image is an image that is formed by the reflection of light rays and cannot be projected onto a screen. Virtual images are located behind the mirror and appear to be coming from a point behind the mirror. It's important to note that these are virtual images and can't be captured on a screen.It is important to remember that the light rays will reflect off of both mirrors and form an infinite number of virtual images, but the question only asked the number of images which is 8.