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, we need to analyze the situation step by step.

### Step 1: Understanding the Setup
We have two identical metallic spheres, X and Y, which are placed in contact with each other. They are supported on insulating stands, meaning they cannot lose or gain charge from the ground.

**Hint:** Remember that metallic spheres can conduct electricity and redistribute charge when in contact.

### Step 2: Bringing the Negatively Charged Rod Near Sphere X
When a negatively charged ebonite rod is brought near sphere X, the negative charges (electrons) in sphere X will be repelled by the negative charge of the rod.

**Hint:** Think about how like charges repel each other.

### Step 3: Charge Redistribution
Due to the repulsion of the electrons in sphere X, some of the electrons will move away from sphere X towards sphere Y. This movement of electrons causes sphere X to become positively charged because it loses some of its negative charge.

**Hint:** Consider what happens to the overall charge of a sphere when it loses electrons.

### Step 4: Induction Effect on Sphere Y
As electrons move from sphere X to sphere Y, sphere Y will gain those electrons and become negatively charged. Since both spheres are in contact, they share the charge until they are separated.

**Hint:** Remember that charge can flow between conductors when they are in contact.

### Step 5: Final Charge Distribution
After the negatively charged rod is removed, sphere X will retain a positive charge, and sphere Y will retain a negative charge.

**Hint:** Think about how the charges will remain after the inducing charge (the rod) is taken away.

### Conclusion
Thus, when a negatively charged ebonite rod is brought near sphere X, sphere X will develop a positive charge, and sphere Y will develop a negative charge.

**Final Answer:** Sphere X will have a positive charge and sphere Y will have a negative charge.

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