A man has a height of 6m. He observes image of 2m height erect, then mirror used is

Options

A. concave
B. convex
C. plane
D. none of these

Explanation

To determine the type of mirror used by a man who observes an erect image of height 2m when the object height is 6m, we can analyze the situation step by step.

### Step-by-Step Solution:

1. **Understanding the Problem**:
- The object height (man) = 6m
- The image height observed = 2m
- The image is erect.

2. **Identifying Mirror Types**:
- **Concave Mirror**: Typically produces a larger image when the object is close and a smaller image when the object is far away. However, it can produce an erect image only when the object is within the focal length, which would not be the case here since the image is smaller than the object.
- **Convex Mirror**: Always produces a diminished (smaller) and erect image regardless of the position of the object.
- **Plane Mirror**: Produces an image that is the same size as the object and erect.

3. **Analyzing Each Option**:
- **Concave Mirror**: If a concave mirror were used, the image height should be greater than or equal to the object height when the object is beyond the focal point. Since the image height is less than the object height, this option is incorrect.
- **Plane Mirror**: A plane mirror would produce an image equal in height to the object. Since the image height is 2m and the object height is 6m, this option is also incorrect.
- **Convex Mirror**: A convex mirror will always produce a smaller, erect image. Since the observed image height (2m) is less than the object height (6m) and is erect, this option is correct.

4. **Conclusion**:
- The mirror used by the man is a **Convex Mirror**.

### Final Answer:
The mirror used is a **Convex Mirror**.