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If an object is placed at a distance of ...

If an object is placed at a distance of 0.5 m in front of a plane mirror, the distance between the object and the image formed by the mirror will be:

A

2m

B

1m

C

0.5 m

D

0.25 m

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of finding the distance between the object and the image formed by a plane mirror, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Distance of the Object from the Mirror**: The object is placed at a distance of 0.5 meters in front of the plane mirror. 2. **Understand Image Formation by a Plane Mirror**: A plane mirror forms a virtual image that is located 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. 3. **Calculate the Total Distance Between the Object and the Image**: To find the distance between the object and the image, we need to 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 - Total distance = Distance from object to mirror + Distance from mirror to image = 0.5 m + 0.5 m = 1 meter. 4. **Conclusion**: The distance between the object and the image formed by the mirror is 1 meter. ### Final Answer: The distance between the object and the image is **1 meter**. ---
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