For a telescope to have large resolving power, then the

Options

A. focal length of its objective should be large
B. focal length of its eye piece should be large
C. focal length of its eye piece should be small
D. aperture of its objective should be large

Answer

To determine the conditions for a telescope to have a large resolving power, we can follow these steps:

### Step 1: Understand Resolving Power
Resolving power is the ability of a telescope to distinguish between two closely spaced objects. It is directly related to the aperture of the telescope.

**Hint:** Remember that resolving power is a measure of detail in the images produced by the telescope.

### Step 2: Recall the Relationship
The resolving power (R) of a telescope is directly proportional to the diameter of the aperture (D) of its objective lens. Mathematically, this can be expressed as:
\[ R \propto D \]

**Hint:** Think about how a larger aperture can gather more light and improve clarity.

### Step 3: Analyze the Options
Given the options:
1. Focal length of its objective should be large
2. Focal length of its eyepiece should be large
3. Focal length of its eyepiece should be small
4. Aperture of its objective should be large

We need to identify which of these conditions contribute to a large resolving power.

**Hint:** Focus on the role of aperture in resolving power.

### Step 4: Identify the Correct Condition
From our understanding:
- The aperture of the objective lens must be large for the telescope to have a large resolving power. This is because a larger aperture allows for better light collection and reduces diffraction effects, leading to clearer images.

**Hint:** Consider how diffraction limits the resolution of images.

### Step 5: Conclusion
Thus, the correct answer is:
- **Aperture of its objective should be large.**

**Final Answer:** The correct option is **D: Aperture of its objective should be large.**