Which of the following statements are correct

Options

A. Electric field calculated by Gauss law is the field due to only those charges which are enclosed inside the Gaussian surface.
B. Gauss law is applicable only when there is a symmetrical distribution of charge.
C. Electirc flux through a closed surface will depends only an charges enclosed within that surface only.
D. None of these

Answer

To determine which of the statements regarding Gauss's Law are correct, we will analyze each statement one by one.

### Step-by-Step Solution:

1. **Statement 1: "Electric field calculated by Gauss's law is due to only charges which are enclosed inside the Gaussian surface."**
- According to Gauss's Law, the electric flux (Φ) through a closed surface is directly proportional to the charge (Q) enclosed within that surface. The mathematical representation is:
\[ \Phi = \frac{Q_{\text{enclosed}}}{\epsilon_0} \]
- The electric field (E) can be related to the electric flux and the area (A) of the surface:
\[ \Phi = E \cdot A \]
- Therefore, the electric field calculated using Gauss's law indeed only considers the charge enclosed within the Gaussian surface.
- **Conclusion:** This statement is **correct**.

2. **Statement 2: "Gauss's law is applicable only when there is a symmetrical distribution of charge."**
- Gauss's Law states that the electric flux through a closed surface is proportional to the charge enclosed, regardless of the symmetry of the charge distribution. The law itself does not require symmetry for its application; it can be applied to any closed surface.
- **Conclusion:** This statement is **incorrect**.

3. **Statement 3: "Electric flux through a closed surface depends only on the charge enclosed within the surface."**
- This is a direct consequence of Gauss's Law, which states that the total electric flux through a closed surface is determined solely by the charge enclosed within that surface, independent of the external electric fields or charges.
- **Conclusion:** This statement is **correct**.

### Final Assessment:
- **Correct Statements:** Statement 1 and Statement 3.
- **Incorrect Statement:** Statement 2.