A plane mirror produces a magnification of

Options

A. 1
B. `-1`
C. 0
D. between 0 and `oo`

Explanation

To determine the magnification produced by a plane mirror, we can follow these steps:

### Step 1: Understanding Magnification
Magnification (M) is defined as the ratio of the height of the image (h') to the height of the object (h). It can also be expressed in terms of the distances from the mirror:
\[ M = \frac{h'}{h} = \frac{v}{u} \]
where:
- \( v \) = image distance from the mirror
- \( u \) = object distance from the mirror

### Step 2: Characteristics of a Plane Mirror
In a plane mirror:
- The image formed is virtual, upright, and of the same size as the object.
- The distance of the image from the mirror (v) is equal to the distance of the object from the mirror (u), but in the opposite direction.

### Step 3: Applying the Formula
Since for a plane mirror:
\[ v = -u \]
(the negative sign indicates that the image is virtual and located behind the mirror), we can substitute this into the magnification formula:
\[ M = \frac{v}{u} = \frac{-u}{u} = -1 \]

### Step 4: Conclusion
Thus, the magnification produced by a plane mirror is:
\[ M = -1 \]
This indicates that the image is the same size as the object but inverted in terms of orientation (though it remains upright in the case of a plane mirror).

### Final Answer
A plane mirror produces a magnification of -1.

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