An object is at a distance of `0.5m` in front of a plane mirror. Distance between the object and image is

Options

A. 0.5mm
B. 1m
C. 0.25m
D. 1.5m

Answer

To solve the problem, we need to determine the distance between an object and its image formed by a plane mirror. Here’s a step-by-step solution:

### Step 1: Understand the setup
We have an object placed in front of a plane mirror at a distance of 0.5 meters.

### Step 2: Identify the properties of a plane mirror
One important property of a plane mirror is that the image formed is at the same distance behind the mirror as the object is in front of it. Therefore, if the object is 0.5 meters in front of the mirror, the image will be 0.5 meters behind the mirror.

### Step 3: Calculate the distance of the image from the mirror
Since the object is 0.5 meters in front of the mirror, the image will also be 0.5 meters behind the mirror.

### Step 4: Determine the total distance between the object and the image
To find the distance between the object and the image, we add the distance from the object to the mirror and the distance from the mirror to the image:
- Distance from the object to the mirror = 0.5 meters
- Distance from the mirror to the image = 0.5 meters

So, the total distance between the object and the image is:
\[ \text{Distance between object and image} = 0.5 \, \text{m} + 0.5 \, \text{m} = 1 \, \text{m} \]

### Conclusion
The distance between the object and the image is 1 meter.

---