A person looks into the mirror by placing it close to his face. if the image of the face was found erect and magnified, then the mirror must be

Options

A. plane
B. concave
C. convex
D. plane or concave

Answer

To determine the type of mirror that produces an erect and magnified image when a person looks closely into it, we can analyze the properties of different types of mirrors: plane, concave, and convex.

### Step-by-Step Solution:

1. **Understanding Image Formation in Different Mirrors**:
- A **plane mirror** produces an image that is erect but has no magnification (magnification = 1). Thus, it cannot be the answer since the image is not magnified.
- A **convex mirror** also produces an erect image, but it is diminished (the image size is smaller than the object). Therefore, it cannot be the answer either.

2. **Analyzing the Concave Mirror**:
- A **concave mirror** can produce an erect and magnified image when the object (in this case, the person's face) is placed between the mirror's focal point (F) and its pole (P).
- When the object is placed close to the mirror (between the pole and the focus), the rays of light diverge, and the extended rays appear to come from a point behind the mirror, creating a virtual image.

3. **Conclusion**:
- Since the image is erect and magnified when the person looks closely into the mirror, the only type of mirror that satisfies these conditions is a **concave mirror**.

### Final Answer:
The mirror must be a **concave mirror**.

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