Question

Raj is standing in front of a plane mirror. The distance between Raj and his image is $100cm$. If the distance between the mirror and image is $x$. What could be the possible value of $x$?

Answer 1

Step1: Given data
The distance between Raj and his image is $100cm$

Raj's distance from the mirror is $x$

Step 2: To find

The value of $x$

Step 3: Explanation

We know, for a plane mirror, the distance between the object and mirror is equal to the distance between the image and the mirror.

Given, Raj's distance from the mirror is $x$, so, the distance between Raj and the image will be $2x$

It is also given that, the distance between Raj and the image is $100cm$

Therefore,

$$\begin{gathered} 2x=100cm \\ \Rightarrow x=\frac{100}{2}cm \\ \Rightarrow x=50cm \end{gathered}$$

Hence, the possible value of $x$ is $50cm$.