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

Options

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

Answer

To solve the problem of finding 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** (m_min) of a simple microscope is given by the formula:
\[ m_{\text{min}} = \frac{d}{f} \]
where \( d \) is the minimum distance of distinct vision (typically taken as 25 cm for a normal human eye) and \( f \) is the focal length of the lens.

2. **Maximum Magnification**:
- The **maximum magnification** (m_max) of a simple microscope is given by the formula:
\[ m_{\text{max}} = 1 + \frac{d}{f} \]

3. **Calculate the Difference**:
- To find the difference between maximum and minimum magnification, we set up the equation:
\[ M = m_{\text{max}} - m_{\text{min}} \]
- Substituting the formulas for maximum and minimum magnification:
\[ M = \left(1 + \frac{d}{f}\right) - \frac{d}{f} \]

4. **Simplify the Expression**:
- Simplifying the right-hand side:
\[ M = 1 + \frac{d}{f} - \frac{d}{f} \]
- The \( \frac{d}{f} \) terms cancel out:
\[ M = 1 \]

5. **Conclusion**:
- Thus, the difference between the maximum magnification and minimum magnification of a simple microscope is:
\[ M = 1 \]

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