Question

A compound microscope has its objective with linear magnification of 10. In order to achieve a final magnification of 100, the angular magnification of the eyepiece should be ..........

Hint:

Total magnification of a microscope is the product of the magnification of the objective lens and the eyepiece lens.

Answer 1

Correct Answer: 10

Step 1: Understanding the magnification formula.
The total magnification \( M_{\text{total}} \) of a compound microscope is the product of the objective magnification and the eyepiece magnification: \[ M_{\text{total}} = M_{\text{objective}} \times M_{\text{eyepiece}}. \]

Step 2: Substituting the known values.
We are given that \( M_{\text{total}} = 100 \) and \( M_{\text{objective}} = 10 \). \[ 100 = 10 \times M_{\text{eyepiece}}, \] \[ M_{\text{eyepiece}} = 10. \]

Step 3: Conclusion.
The angular magnification of the eyepiece should be \( \boxed{10} \).