To determine the correct option regarding the properties of a concave mirror, we need to analyze the image formation based on the position of the object relative to the mirror. Let's break down the analysis step by step.
### Step-by-Step Solution:
1. **Understanding the Concave Mirror**:
A concave mirror is a spherical mirror that curves inward. It has a focal point (F) and a center of curvature (C).
2. **Object Position at C (Center of Curvature)**:
- When the object is placed at the center of curvature (C), the image is formed at the same point (C).
- The image formed is real, inverted, and of the same size as the object.
3. **Object Position Beyond C**:
- If the object is placed beyond C, the image is formed between F and C.
- The image is real, inverted, and diminished (smaller than the object).
4. **Object Position Between F and C**:
- When the object is placed between F and C, the image is formed beyond C.
- The image is real, inverted, and enlarged (larger than the object).
5. **Object Position at F**:
- If the object is placed at the focal point (F), the rays of light parallel to the principal axis will reflect and diverge, appearing to come from infinity.
- The image formed is at infinity, and it is highly enlarged.
6. **Evaluating the Options**:
- **Option 1**: Correct - Object at C results in an image at C, same size, real and inverted.
- **Option 2**: Incorrect - Object beyond C results in an image between F and C, which is real and diminished.
- **Option 3**: Incorrect - Object between F and C results in an image beyond C, which is real and enlarged.
- **Option 4**: Incorrect - Object at F results in an image at infinity, which is highly enlarged and real, not diminished.
### Conclusion:
The correct option regarding the properties of a concave mirror is **Option 1**: When the object is at C, the image is also at C, of the same size, real, and inverted.
