The resolving power of a telesope is more when its objective lens has

Options

A. greater focal length
B. smaller focal length
C. greater diameter
D. smaller diameter

Explanation

To determine the conditions under which the resolving power of a telescope is maximized, we can analyze the relationship between the diameter of the objective lens and the resolving power itself.

### Step-by-Step Solution:

1. **Understanding Resolving Power**:
The resolving power (R) of a telescope is defined as its ability to distinguish between two closely spaced objects. It is given by the formula:
\[ R = \frac{2A}{1.22\lambda} \]
where:
- \( R \) is the resolving power,
- \( A \) is the diameter of the objective lens,
- \( \lambda \) is the wavelength of light used.

2. **Analyzing the Formula**:
From the formula, we can see that the resolving power is directly proportional to the diameter \( A \) of the objective lens. This means that as the diameter increases, the resolving power also increases.

3. **Impact of Diameter**:
A larger diameter lens collects more light, which enhances the telescope's ability to resolve finer details. Therefore, the resolving power increases with an increase in the diameter of the objective lens.

4. **Conclusion**:
To maximize the resolving power of a telescope, the objective lens should have a greater diameter. This leads us to conclude that the correct answer is the option that states that the resolving power is more when the objective lens has a larger diameter.

### Final Answer:
The resolving power of a telescope is more when its objective lens has a **greater diameter**.

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