An isolated solid metallic sphere is given +Q charge. The charge will be distributed on the sphere

Options

A. Uniformly but only on surface
B. Only on surface but non-uniformly
C. Uniformly inside the volume
D. Non-uniformly inside the volume

Answer

### Step-by-Step Solution:

1. **Understanding the Problem**: We have an isolated solid metallic sphere that is given a charge of +Q. We need to determine how this charge will be distributed on the sphere.

2. **Properties of Conductors**: In electrostatics, it is known that the electric field inside a conductor in electrostatic equilibrium is zero. This means that any excess charge on a conductor will not reside in the interior but will instead reside on the surface.

3. **Isolated Sphere**: The term "isolated" indicates that there are no external electric fields acting on the sphere. Therefore, the charge distribution will not be influenced by any external factors.

4. **Charge Distribution**: Since the sphere is metallic (a conductor), the charge will distribute itself on the surface of the sphere. This is because charges in a conductor move freely until they reach a configuration where the electric field inside the conductor is zero.

5. **Uniform Distribution**: Given that the sphere is a perfect geometric shape (a sphere), the charge will distribute uniformly over the surface. This uniform distribution occurs because all points on the surface are equidistant from the center, and the symmetry allows for an even distribution of charge.

6. **Conclusion**: Therefore, the charge +Q will be distributed uniformly on the surface of the isolated solid metallic sphere.

### Final Answer:
The charge will be distributed uniformly on the surface of the sphere.

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