A compound microscope has two lenses. The magnifying power of one is 5 and the combined magnifying power is 100. The magnifying power of the other lens is

Options

A. 10
B. 20
C. 50
D. 25

Explanation

To find the magnifying power of the other lens in a compound microscope, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Components**: A compound microscope consists of two lenses: the objective lens and the eyepiece. The magnifying power of the microscope (M) is the product of the magnifying powers of these two lenses.

2. **Identify the Given Values**:
- The magnifying power of the objective lens (MO) is given as 5.
- The combined magnifying power of the microscope (M) is given as 100.

3. **Use the Formula for Magnifying Power**: The formula for the magnifying power of a compound microscope is:
\[ M = MO \times ME \]
where:
- \( M \) is the total magnifying power,
- \( MO \) is the magnifying power of the objective lens,
- \( ME \) is the magnifying power of the eyepiece.

4. **Substitute the Known Values**: Plug the known values into the formula:
\[ 100 = 5 \times ME \]

5. **Solve for the Magnifying Power of the Eyepiece (ME)**: Rearranging the equation to find \( ME \):
\[ ME = \frac{100}{5} \]
\[ ME = 20 \]

6. **Conclusion**: The magnifying power of the other lens (the eyepiece) is 20.

### Final Answer:
The magnifying power of the other lens is **20**.

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