A hollow metal sphere of radius 10 cm is charged such that the potential on its surface is 5 V. What is the potential at the centre of the sphere?

Explanation

To solve the problem, we need to understand the properties of electric potential in a hollow conducting sphere. Here’s a step-by-step solution:

### Step 1: Understand the properties of a hollow conducting sphere
A hollow conducting sphere has the property that the electric potential is constant throughout its volume and also at its surface. This means that the potential inside the sphere (including at the center) is the same as the potential on its surface.

### Step 2: Identify the given values
- Radius of the hollow metal sphere, \( R = 10 \, \text{cm} \)
- Potential on the surface of the sphere, \( V_s = 5 \, \text{V} \)
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