STATEMENT-1 `:` Total charge of a conductor can be transferred to the other conductor by connecting them with a conducting wire.
and
STATEMENT-2 `:` On connecting the two condcutors , their potentials become equal.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1
C. Statement-1 is True, Statement-2 is False
D. Statement-1 is False , Statement-2 is True

Answer

To analyze the given statements and provide a step-by-step solution, we can break down the problem as follows:

### Step 1: Understanding Statement 1
**Statement 1**: "Total charge of a conductor can be transferred to the other conductor by connecting them with a conducting wire."

- When two conductors are connected by a conducting wire, charge can flow between them until they reach the same electric potential. This is due to the nature of conductors, which allow free movement of charge.

### Step 2: Charge Conservation
- The principle of charge conservation states that the total charge before and after connecting the conductors must remain the same. If one conductor has an initial charge \( Q \) and the other has a charge \( -Q \), the total charge before connection is \( Q + (-Q) = 0 \).

### Step 3: Understanding Statement 2
**Statement 2**: "On connecting the two conductors, their potentials become equal."

- When the conductors are connected, charge will redistribute between them until they reach the same potential. The potential \( V \) of a conductor is given by \( V = \frac{Q}{C} \), where \( Q \) is the charge and \( C \) is the capacitance of the conductor.

### Step 4: Analyzing the Connection
- If both conductors are identical in size and shape, they will have the same capacitance. Therefore, if charge \( Q \) from the first conductor flows to the second, they will both reach the same potential.

### Step 5: Conclusion on Statements
- Both statements are true:
- Statement 1 is true because charge can indeed be transferred between conductors when connected.
- Statement 2 is also true because the potentials of the conductors will equalize upon connection.

### Step 6: Justification of Statements
- However, while both statements are true, Statement 2 does not provide a justification for Statement 1. The transfer of charge does not depend solely on the equality of potential; it also relies on the conservation of charge.

### Final Answer
- Therefore, the correct conclusion is that both statements are true, but Statement 2 does not justify Statement 1.