An object with a height of 0.3 meter is placed at a distance of 0.4 meter from a concave spherical mirror. An image with a height of 0.1 meter is formed in front of the mirror. How far from the mirror is the image located?

0.13 m

Explanation:

A mirror works on the principle of reflection.

Reflection occurs when a light wave is reflected by a surface, bouncing off the original medium at a different angle.

We can solve this problem by using the magnification equation:

where

y' is the size of the image

y is the size of the real object

q is the distance of the image from the mirror

p is the distance of the object from the mirror

Here we have:

y = 0.3 m is the size of the object

y' = 0.1 m is the size of the image

p = 0.4 m is the distance of the object from the mirror

Solving for q, we find

So, the image is located 0.13 m from the mirror.