What is the dipole moment of a dipole consisting two equal and opposite charges, each of 2 C seperated by 0.04 m:

Options

A. `6xx10^(-8)` cm
B. `1.5 xx 10^(2)`cm
C. `8xx10^(-6)` cm
D. `8xx10^(-2)` cm

Explanation

To find the dipole moment of a dipole consisting of two equal and opposite charges, we can use the formula for the dipole moment \( P \):

\[ P = Q \times d \]

where:
- \( P \) is the dipole moment,
- \( Q \) is the magnitude of one of the charges,
- \( d \) is the distance between the two charges.

### Step-by-Step Solution:

1. **Identify the Charges and Distance**:
- Given two equal and opposite charges: \( Q = 2 \, \text{C} \) (magnitude).
- The distance between the charges is given as \( d = 0.04 \, \text{m} \).

2. **Use the Dipole Moment Formula**:
- The dipole moment \( P \) can be calculated using the formula:
\[ P = Q \times d \]

3. **Substitute the Values**:
- Substitute \( Q = 2 \, \text{C} \) and \( d = 0.04 \, \text{m} \) into the formula:
\[ P = 2 \, \text{C} \times 0.04 \, \text{m} \]

4. **Calculate the Dipole Moment**:
- Perform the multiplication:
\[ P = 0.08 \, \text{C} \cdot \text{m} \]

5. **Express in Standard Form**:
- The dipole moment can also be expressed in scientific notation:
\[ P = 8 \times 10^{-2} \, \text{C} \cdot \text{m} \]

### Final Answer:
The dipole moment of the dipole is \( P = 8 \times 10^{-2} \, \text{C} \cdot \text{m} \).