To increase the angular magnification of a simple microscope, one should increase

Options

A. the focal length of the lens
B. the power of the lens
C. the apeture of the lens
D. the object size

Answer

To solve the problem of how to increase the angular magnification of a simple microscope, we can follow these steps:

### Step 1: Understand Angular Magnification
The angular magnification (M) of a simple microscope can be defined for near and far points. For near point magnification, it is given by:
\[ M = 1 + \frac{d}{F} \]
where:
- \( d \) is the least distance of distinct vision (usually taken as 25 cm for a normal human eye),
- \( F \) is the focal length of the lens.

For far point magnification, it is given by:
\[ M = \frac{D}{F} \]
where:
- \( D \) is the distance at which the object is viewed.

### Step 2: Analyze the Formula
From the formulas, we can see that the magnification depends inversely on the focal length \( F \). This means that as the focal length decreases (i.e., the power of the lens increases), the magnification increases.

### Step 3: Relate Power of the Lens
The power \( P \) of the lens is related to its focal length by the formula:
\[ P = \frac{1}{F} \]
This indicates that an increase in the power of the lens (P) corresponds to a decrease in the focal length (F).

### Step 4: Conclusion
To increase the angular magnification of a simple microscope, we should increase the power of the lens. This can be achieved by using a lens with a shorter focal length.

### Final Answer
To increase the angular magnification of a simple microscope, one should increase the power of the lens.

---