A plane mirror produces a magnification of

Options

A. `-1`
B. `+1`
C. Zero
D. Between 0 and +`oo`

Explanation

To solve the question about the magnification produced by a plane mirror, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Setup**:
- A plane mirror reflects light and forms an image of an object placed in front of it.
- The object is placed at a distance \( x \) from the mirror.

2. **Image Formation**:
- For a plane mirror, the image is formed at the same distance behind the mirror as the object is in front of it.
- Therefore, if the object distance is \( x \), the image distance is also \( x \) (but on the opposite side of the mirror).

3. **Size of the Object and Image**:
- The size of the image formed by a plane mirror is equal to the size of the object.
- If the object has a height of \( h \), then the image will also have a height of \( h \).

4. **Magnification Formula**:
- Magnification (\( m \)) is defined as the ratio of the height of the image (\( h' \)) to the height of the object (\( h \)):
\[ m = \frac{h'}{h} \]

5. **Calculating Magnification**:
- Since the size of the image is equal to the size of the object (\( h' = h \)), we can substitute this into the magnification formula:
\[ m = \frac{h}{h} = 1 \]

6. **Sign of Magnification**:
- In optics, the magnification produced by a plane mirror is considered to be positive because the image is upright (not inverted).
- However, in some conventions, the magnification is expressed as negative when dealing with virtual images, but for a plane mirror, it is conventionally taken as \( +1 \).

7. **Conclusion**:
- Therefore, the magnification produced by a plane mirror is \( +1 \).

### Final Answer:
The correct answer is \( +1 \).

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