Maximum magnification produced by simple microscope of focal length f=5cm is

Options

A. 5
B. 7
C. 6
D. 8

Answer

To find the maximum magnification produced by a simple microscope with a focal length of \( f = 5 \, \text{cm} \), we can use the formula for maximum magnification:

\[ M = 1 + \frac{d}{f} \]

where:
- \( M \) is the maximum magnification,
- \( d \) is the least distance of distinct vision (typically taken as \( 25 \, \text{cm} \)),
- \( f \) is the focal length of the microscope.

### Step-by-Step Solution:

1. **Identify the given values**:
- Focal length \( f = 5 \, \text{cm} \)
- Least distance of distinct vision \( d = 25 \, \text{cm} \)

2. **Substitute the values into the magnification formula**:
\[ M = 1 + \frac{d}{f} = 1 + \frac{25 \, \text{cm}}{5 \, \text{cm}} \]

3. **Calculate the fraction**:
\[ \frac{25}{5} = 5 \]

4. **Add 1 to the result**:
\[ M = 1 + 5 = 6 \]

5. **Conclusion**:
The maximum magnification produced by the simple microscope is \( M = 6 \).

### Final Answer:
The maximum magnification produced by a simple microscope of focal length \( f = 5 \, \text{cm} \) is \( 6 \).