Gauss's theorem states that:

Options

A. Electric flux `=(q)/(epsilon_(0))`
B. Electric potential `= epsilon q`
C. Electric field intensity `= epsilon_(0)q`
D. None of these

Explanation

To solve the question regarding Gauss's theorem, we can break it down into the following steps:

### Step 1: Understand Gauss's Theorem
Gauss's theorem, also known as Gauss's law, relates the electric flux through a closed surface to the charge enclosed by that surface. It states that the total electric flux (Φ) through a closed surface is proportional to the total charge (Q) enclosed within that surface.

### Step 2: Write the Mathematical Expression
The mathematical expression of Gauss's theorem is given by:
\[ \Phi = \frac{Q_{\text{enc}}}{\epsilon_0} \]
where:
- \(\Phi\) is the electric flux through the closed surface,
- \(Q_{\text{enc}}\) is the net charge enclosed within the surface,
- \(\epsilon_0\) is the permittivity of free space (a constant).

### Step 3: Analyze the Given Options
Now, we need to evaluate the provided options in the question:
1. Electric flux equals to \( \frac{Q}{\epsilon_0} \)
2. Electric potential equals to \( \epsilon_0 Q \)
3. Electric field intensity equals to \( \epsilon_0 Q \)
4. None of these

### Step 4: Identify the Correct Option
From the expression derived in Step 2, we can see that the first option, "Electric flux equals to \( \frac{Q}{\epsilon_0} \)", directly corresponds to Gauss's theorem. The other options do not correctly represent Gauss's law.

### Step 5: Conclusion
Thus, the correct answer to the question "Gauss's theorem states that:" is:
\[ \text{Electric flux} = \frac{Q}{\epsilon_0} \]