The image formed by a convex mirror of a real object is

Options

A. virtual and erect
B. virtual and inverted
C. real and erect
D. real and inverted

Answer

To solve the question regarding the image formed by a convex mirror of a real object, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Convex Mirror**:
- A convex mirror is a spherical mirror with its reflecting surface bulging outward. It diverges light rays that are incident on it.

2. **Ray Diagram Setup**:
- Draw a principal axis (a straight horizontal line).
- Draw the convex mirror on the right side of the principal axis, with the reflecting surface on the right side and the bulging side facing left.
- Mark the center of curvature (C) and the focus (F) on the principal axis. The focus is located at half the radius of curvature (R/2) from the mirror.

3. **Positioning the Object**:
- Place a real object (an arrow, for example) in front of the convex mirror on the principal axis.

4. **Drawing the Rays**:
- Draw a ray parallel to the principal axis from the top of the object towards the mirror. When this ray hits the mirror, it reflects and appears to diverge from the focus (F) behind the mirror.
- Draw another ray that goes towards the center of curvature (C). This ray reflects back on itself, as the angle of incidence equals the angle of reflection.

5. **Locating the Image**:
- Extend the reflected rays backward (using dotted lines) to find the point where they appear to converge. This point is where the virtual image is formed.

6. **Characteristics of the Image**:
- The image formed by a convex mirror is virtual because the rays do not actually converge; they only appear to do so when extended backward.
- The image is erect, meaning it has the same orientation as the object (the top of the object is still the top of the image).

7. **Conclusion**:
- Therefore, the image formed by a convex mirror of a real object is **virtual and erect**.

### Final Answer:
The correct option is: **Virtual and erect**.

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