Two identical metallic spheres X and Y with electrons supported on insulating stands and placed in contact. What kind of charges will be daveioped on X and Y when a negatively charged ebonite rod is brought near X?

Options

A. Xwil have negative charge and Ywill have a positive charge
B. Ywil nave negative charge and X will have positive charge
C. Both X and Ywil have postive charges
D. Both X and Ywil have negative charges

Answer

To solve the problem of what kind of charges will be developed on two identical metallic spheres X and Y when a negatively charged ebonite rod is brought near sphere X, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have two identical metallic spheres, X and Y, which are in contact with each other and are placed on insulating stands. This means that they can exchange charge but cannot lose charge to the ground.

2. **Introducing the Ebonite Rod**:
- A negatively charged ebonite rod is brought near sphere X. Since the ebonite rod is negatively charged, it has an excess of electrons.

3. **Charge Interaction**:
- The electrons in the ebonite rod will repel the electrons in sphere X because like charges repel each other. This causes the electrons in sphere X to move away from the side of sphere X that is closest to the ebonite rod.

4. **Charge Redistribution**:
- As the electrons in sphere X are repelled, they will move towards sphere Y (since the two spheres are in contact). This movement of electrons will leave sphere X with a deficiency of electrons, resulting in a net positive charge on sphere X.

5. **Resulting Charges**:
- Sphere Y, on the other hand, gains the electrons that have moved from sphere X, resulting in a net negative charge on sphere Y.

6. **Final Charges**:
- Therefore, after the negatively charged ebonite rod is brought near sphere X, sphere X will have a positive charge and sphere Y will have a negative charge.

### Conclusion:
- Sphere X will have a positive charge, and sphere Y will have a negative charge.