What do you predict by the given statement about the nature of charge (positive or negative) enclosed by the closed surface. "In a closed surface, lines which are leaving the surface are double than the lines which are entering it ".

Answer

To analyze the statement "In a closed surface, lines which are leaving the surface are double than the lines which are entering it," we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Electric Field Lines**:
- Electric field lines represent the direction and strength of the electric field. Lines that emerge from a charge indicate that the charge is positive, while lines that terminate on a charge indicate that the charge is negative.

2. **Analyzing the Given Situation**:
- The statement indicates that the number of field lines leaving the closed surface is double the number of lines entering it. This suggests an imbalance in the number of field lines.

3. **Applying Gauss's Law**:
- According to Gauss's Law, the electric flux through a closed surface is proportional to the charge enclosed within that surface. Mathematically, it is expressed as:
\[ \Phi_E = \frac{Q_{enc}}{\epsilon_0} \]
- Here, \( \Phi_E \) is the electric flux, \( Q_{enc} \) is the enclosed charge, and \( \epsilon_0 \) is the permittivity of free space.

4. **Determining the Charge Enclosed**:
- If the number of lines leaving the surface is greater than the number of lines entering, it indicates that there is a net positive charge inside the closed surface. Specifically, since the lines leaving are double those entering, we can conclude that the enclosed charge is positive.

5. **Conclusion**:
- Therefore, based on the analysis of the electric field lines and Gauss's Law, we can predict that the nature of the charge enclosed by the closed surface is positive.