The unit of magnification is

Options

A. m
B. `m^2`
C. `m^(-1)`
D. none of these

Answer

To solve the question regarding the unit of magnification, we can follow these steps:

### Step 1: Understand the Concept of Magnification
Magnification is defined as the ratio of the height of the image to the height of the object or, in terms of distances, the ratio of the image distance (V) to the object distance (U).

### Step 2: Write the Formula for Magnification
For mirrors, the magnification (M) can be expressed as:
\[ M = -\frac{V}{U} \]
For lenses, it is expressed as:
\[ M = \frac{V}{U} \]

### Step 3: Analyze the Components of the Formula
In both cases, V (image distance) and U (object distance) are measured in the same unit, typically meters (m). Thus, both V and U are lengths.

### Step 4: Determine the Unit of Magnification
Since magnification is a ratio of two lengths (V/U), the units cancel out:
\[ \text{Unit of Magnification} = \frac{\text{meters}}{\text{meters}} = 1 \]
This implies that magnification is a dimensionless quantity.

### Step 5: Conclusion
Since magnification does not have any units, the correct answer to the question is "none of these."

### Final Answer
The unit of magnification is none of these.

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