There are two metallic spheres of same radii but one is solid and the other is hollow, then

Options

A. solid sphere can be given more charge
B. hollow sphere can be given more charge
C. they can be charged equally (maximum)
D. none of the above

Answer

To solve the question regarding the two metallic spheres (one solid and one hollow) with the same radii, we need to analyze the properties of charged conductors.

### Step-by-Step Solution:

1. **Understanding the Properties of Conductors:**
- When a conductor is charged, the charge resides on the surface of the conductor. This is true for both solid and hollow spheres.

2. **Identifying the Spheres:**
- We have two spheres: one is solid and the other is hollow, but both have the same radius \( R \).

3. **Surface Area Calculation:**
- The surface area \( A \) of a sphere is given by the formula:
\[ A = 4\pi R^2 \]
- Since both spheres have the same radius \( R \), they will have the same surface area.

4. **Charge Distribution:**
- The charge on both spheres will distribute uniformly over their surfaces. Since the surface areas are equal, both spheres can hold the same amount of charge.

5. **Conclusion:**
- Therefore, both the solid and hollow spheres can be charged equally. The statement that one can hold more charge than the other is incorrect.

### Final Answer:
Both the solid sphere and the hollow sphere can be charged equally since they have the same surface area.

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