Question

Rahul is standing in front of a plane mirror. The distance between Rahul and his image is $150cm$. If Rahul's distance from the mirror is $x$. What could be the possible value of $x$?

Answer 1

Step1: Given data:
The distance between Rahul and his image is $150cm$

Rahul's distance from the mirror is $x$

Step 2: To find:

The value of $x$

Step 3: Explanation:

1. We know, for a plane mirror, the distance between the object and mirror is equal to the distance between the image and the mirror.
2. Given, Rahul's distance from the mirror is $x$, so, the distance between Rahul and the image will be $2x$.
3. It is also given that, the distance between Rahul and the image is $150cm$.

Therefore,

$$\begin{gathered} 2x=150cm \\ \Rightarrow x=\frac{150}{2}cm \\ \Rightarrow x=75cm \end{gathered}$$

Hence, the possible value of $x$ is $75cm$