Lateral magnification of objective of compound microscope is 100 and angular magnification of its eyepiece is 20. The magnifying power of compound microscope is

Options

A. 120
B. 5
C. 2000
D. 1000

Answer

To find the magnifying power of a compound microscope, we can use the relationship between the lateral magnification of the objective and the angular magnification of the eyepiece.

### Step-by-Step Solution:

1. **Identify Given Values:**
- Lateral magnification of the objective (M_o) = 100
- Angular magnification of the eyepiece (M_e) = 20

2. **Understand the Formula for Magnifying Power:**
- The magnifying power (M) of a compound microscope is given by the product of the lateral magnification of the objective and the angular magnification of the eyepiece:
\[ M = M_o \times M_e \]

3. **Substitute the Given Values:**
- Substitute the values of lateral magnification and angular magnification into the formula:
\[ M = 100 \times 20 \]

4. **Calculate the Magnifying Power:**
- Perform the multiplication:
\[ M = 2000 \]

5. **Final Answer:**
- The magnifying power of the compound microscope is 2000.