For an electric dipole consisting of a positive and equal negative charges seperated by a finite distance, the number of axial and equatorial lines respectively

Options

A. 1,1
B. 1,2
C. 1,3,
D. `1,oo`

Explanation

To solve the problem regarding the number of axial and equatorial lines for an electric dipole consisting of a positive and an equal negative charge separated by a finite distance, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Electric Dipole**:
An electric dipole consists of two equal and opposite charges (+q and -q) separated by a distance (2L). The dipole moment (p) is given by the product of the charge and the separation distance:
\[ p = q \cdot 2L \]

2. **Defining Axial and Equatorial Lines**:
- **Axial Lines**: These are the lines that run along the axis of the dipole, extending outwards from the positive charge to the negative charge.
- **Equatorial Lines**: These lines are perpendicular to the axis of the dipole and lie in the plane that bisects the dipole.

3. **Determining the Number of Axial Lines**:
- For the axial line, there can only be **one line** that can be drawn from the positive charge to the negative charge. This is because a line can only connect two points directly without deviation.
- Thus, the number of axial lines is:
\[ \text{Number of axial lines} = 1 \]

4. **Determining the Number of Equatorial Lines**:
- For the equatorial line, multiple lines can be drawn. Since the equatorial line is perpendicular to the dipole axis and can be drawn at various angles around the dipole, there can be an infinite number of lines that can be drawn.
- Thus, the number of equatorial lines is:
\[ \text{Number of equatorial lines} = \infty \]

5. **Final Answer**:
Therefore, the number of axial and equatorial lines for the electric dipole is:
\[ \text{Number of axial lines} = 1, \quad \text{Number of equatorial lines} = \infty \]

### Summary:
The answer to the question is:
- Number of axial lines = 1
- Number of equatorial lines = ∞ (infinite)