A concave mirror forms an enlarged, erect and virtual image of an object, only when the object is placed

Options

A. at focus
B. between pole and focus
C. at the centre of curvature
D. between focus and centre of curvature.

Explanation

To solve the question, we need to determine the position of the object in relation to a concave mirror that results in an enlarged, erect, and virtual image. We will analyze the characteristics of the image formed by a concave mirror based on the position of the object.

### Step-by-Step Solution:

1. **Understanding the Image Characteristics**:
- The image is **enlarged**: This means the image size is greater than the object size.
- The image is **erect**: This indicates that the image is upright and not inverted.
- The image is **virtual**: A virtual image cannot be projected on a screen; it appears to be behind the mirror.

2. **Identifying Object Positions**:
- A concave mirror can form different types of images based on the position of the object:
- At infinity
- Beyond the center of curvature (C)
- At the center of curvature (C)
- Between center of curvature (C) and focus (F)
- At focus (F)
- Between focus (F) and the pole (P)

3. **Analyzing Each Position**:
- **At Infinity**: The image is real, inverted, and highly diminished.
- **Beyond C**: The image is real, inverted, and diminished.
- **At C**: The image is real, inverted, and the same size as the object.
- **Between C and F**: The image is real, inverted, and enlarged.
- **At F**: The image is formed at infinity; it is real and inverted.
- **Between F and P**: The image is virtual, erect, and enlarged.

4. **Conclusion**:
- The only position where a concave mirror forms an enlarged, erect, and virtual image is when the object is placed **between the focus (F) and the pole (P)** of the mirror.

### Final Answer:
The concave mirror forms an enlarged, erect, and virtual image of an object only when the object is placed **between the focus (F) and the pole (P)**.

---