Least distance of distinct vision is 25 cm . Magnifying power of simple microscope of focal length 5 cm is

Options

A. 43835
B. 5
C. 43836
D. 6

Answer

To find the magnifying power of a simple microscope with a given focal length, we can use the formula for magnification:

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Least distance of distinct vision (d) = 25 cm
- Focal length of the microscope (f) = 5 cm

2. **Use the Magnification Formula**:
The formula for magnification (M) of a simple microscope is given by:
\[ M = 1 + \frac{d}{f} \]

3. **Substitute the Values into the Formula**:
Substitute the values of d and f into the magnification formula:
\[ M = 1 + \frac{25 \text{ cm}}{5 \text{ cm}} \]

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

5. **Add 1 to the Result**:
Now, add 1 to the result from the previous step:
\[ M = 1 + 5 = 6 \]

6. **Final Answer**:
Therefore, the magnifying power of the simple microscope is:
\[ M = 6 \]