The resolving power of a microscope is basically determined by the

Options

A. speed of the light used
B. wavelength of the ligth used
C. both 1 and 2
D. neither 1 or 2

Answer

To determine the resolving power of a microscope, we can follow these steps:

### Step 1: Understand the Concept of Resolving Power
Resolving power refers to the ability of a microscope to distinguish between two closely spaced objects. It is a crucial factor in determining the clarity and detail of the images produced by the microscope.

### Step 2: Recall the Formula for Resolving Power
The resolving power (R) of a microscope is given by the formula:
\[ R = \frac{2n \sin \theta}{\lambda} \]
where:
- \( n \) = refractive index of the medium
- \( \theta \) = half of the angular aperture of the lens
- \( \lambda \) = wavelength of the light used

### Step 3: Identify the Factors Affecting Resolving Power
From the formula, we can see that the resolving power depends on:
1. The refractive index \( n \) of the medium.
2. The wavelength \( \lambda \) of the light used.

### Step 4: Analyze the Options Given
The options provided are:
1. Speed of light
2. Wavelength of light
3. Both one and two
4. Neither one nor two

### Step 5: Relate Speed of Light to Refractive Index
The refractive index \( n \) is related to the speed of light. It is defined as:
\[ n = \frac{c}{v} \]
where:
- \( c \) = speed of light in vacuum
- \( v \) = speed of light in the medium

Thus, while the speed of light does not directly appear in the resolving power formula, it influences the refractive index.

### Step 6: Conclusion
Since both the wavelength of light and the speed of light (through its relation to refractive index) affect the resolving power, the correct answer is:
**Both one and two.**