Image of an object in a convex mirror is

Options

A. Real and in front of mirror
B. Virtual and in front of mirror
C. Real and behind the mirror
D. Virtual and behind the mirror

Answer

To solve the question regarding the characteristics of an image formed by a convex mirror, we can break it down into clear 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 strike it.

2. **Image Formation at Infinity**:
- When an object is placed at infinity, the rays coming from the object are parallel to the principal axis.
- These parallel rays reflect off the convex mirror and appear to diverge from a point behind the mirror, known as the focal point (F).

3. **Characteristics of the Image at Infinity**:
- The image formed is virtual because the reflected rays do not actually converge; they only appear to come from a point behind the mirror.
- The image is highly diminished (very small) because the object is at infinity.
- The image is erect (upright) as it maintains the same orientation as the object.

4. **Image Formation at Finite Distance**:
- When the object is placed at a finite distance, we can consider two rays: one parallel to the principal axis and another directed towards the center of curvature.
- After reflection, these rays also appear to diverge from a point behind the mirror.

5. **Characteristics of the Image at Finite Distance**:
- Similar to the case when the object is at infinity, the image remains virtual, as the reflected rays do not converge.
- The image is diminished compared to the actual size of the object.
- The image is also erect.

6. **Conclusion**:
- In both scenarios (object at infinity and at a finite distance), the image formed by a convex mirror is virtual, diminished, and erect.
- Therefore, the correct answer to the question is that the image of an object in a convex mirror is virtual and located behind the mirror.

### Final Answer:
The image of an object in a convex mirror is **virtual and behind the mirror**.

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