A boy is standing in front of a plane mirror at a distance of 3 m from it. What is the distance between the boy and his image?

Options

A. 3 m
B. 4.5 m
C. 6 m
D. none of these

Answer

To solve the problem of finding the distance between the boy and his image in front of a plane mirror, we can follow these steps:

### Step 1: Identify the distance of the boy from the mirror.
The boy is standing at a distance of 3 meters from the plane mirror.

### Step 2: Determine the position of the image.
In a plane mirror, the image is formed at the same distance behind the mirror as the object (the boy) is in front of it. Therefore, the image will be located 3 meters behind the mirror.

### Step 3: Calculate the total distance between the boy and his image.
To find the distance between the boy and his image, we need to add the distance from the boy to the mirror and the distance from the mirror to the image.
- Distance from the boy to the mirror = 3 meters
- Distance from the mirror to the image = 3 meters

Thus, the total distance between the boy and his image is:
\[ \text{Distance between boy and image} = \text{Distance from boy to mirror} + \text{Distance from mirror to image} \]
\[ = 3 \, \text{m} + 3 \, \text{m} = 6 \, \text{m} \]

### Conclusion:
The distance between the boy and his image is 6 meters.

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