The difference between maximum magnification and minimum magnification of a simple microscope is

Options

A. 1
B. 2
C. 3
D. 4

Answer

To find the difference between the maximum magnification and minimum magnification of a simple microscope, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definitions**:
- The **minimum magnification** of a simple microscope is given by the formula \( \frac{D}{F} \).
- The **maximum magnification** of a simple microscope is given by the formula \( 1 + \frac{D}{F} \).
- Here, \( D \) is the least distance of distinct vision, which is typically \( 25 \, \text{cm} \) for a normal human eye, and \( F \) is the focal length of the lens used in the microscope.

2. **Identify the Magnifications**:
- Minimum Magnification: \( M_{\text{min}} = \frac{D}{F} \)
- Maximum Magnification: \( M_{\text{max}} = 1 + \frac{D}{F} \)

3. **Calculate the Difference**:
- The difference between maximum and minimum magnification can be calculated as:
\[ \text{Difference} = M_{\text{max}} - M_{\text{min}} = \left(1 + \frac{D}{F}\right) - \frac{D}{F} \]

4. **Simplify the Expression**:
- When we simplify the expression:
\[ \text{Difference} = 1 + \frac{D}{F} - \frac{D}{F} = 1 \]

5. **Conclusion**:
- Therefore, the difference between the maximum magnification and minimum magnification of a simple microscope is \( 1 \).

### Final Answer:
The difference between maximum magnification and minimum magnification of a simple microscope is **1**.

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