A charged body has an electric flux F assoclated with it. Now if the body is placed inside a conducting shell tthen the electric flux outside the shell is

Options

A. Zero
B. Greater then F
C. Less then F
D. Equal to F

Answer

To solve the problem, we need to understand the concept of electric flux and how it behaves when a charged body is placed inside a conducting shell.

### Step-by-Step Solution:

1. **Understanding Electric Flux**:
Electric flux (Φ) through a surface is defined as the product of the electric field (E) and the area (A) through which the field lines pass, mathematically given by:
\[ \Phi = E \cdot A \]
It is also related to the charge (Q) enclosed by the surface through Gauss's Law:
\[ \Phi = \frac{Q_{\text{enc}}}{\varepsilon_0} \]
where \( \varepsilon_0 \) is the permittivity of free space.

2. **Placing the Charged Body Inside a Conducting Shell**:
When a charged body is placed inside a conducting shell, the electric field inside the conducting material of the shell becomes zero. This is due to the redistribution of charges on the surface of the conductor in response to the electric field created by the charged body.

3. **Electric Field Inside the Shell**:
The electric field inside the conducting shell (between the charged body and the shell) is zero. Therefore, the electric flux through any Gaussian surface that lies within the conducting material of the shell is also zero.

4. **Electric Flux Outside the Shell**:
According to Gauss's Law, the electric flux through a closed surface is proportional to the charge enclosed within that surface. Since the conducting shell does not allow any electric field lines from the charged body to escape outside, the total charge enclosed by any Gaussian surface outside the shell remains zero.

5. **Conclusion**:
Therefore, the electric flux outside the conducting shell is zero. This is a consequence of the electrostatic shielding effect of the conducting shell, which prevents the electric field from the charged body from affecting the space outside the shell.

### Final Answer:
The electric flux outside the conducting shell is **zero**.

---