This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement-1: For a charged particle moving from point P to point Q, the net work done by an electrostatic field on the particle is independent of the path connecting point P to point Q.
Statement-2: The net work done by a conservative force on an object moving along a closed loop is zero.

Options

A. Statement-1 is true, Statement-2 is false
B. Statement-1 is true, Statement-2 is true, Statement-2 is the correct explaination of Statement-1
C. Statement-1 is true, Statement-2 is true, Statement-2 is not the correct explanation of Statement-1
D. Statement-1 is false, Statement-2 is true

Answer

To solve the problem, we need to analyze both statements provided and determine their validity and relationship.

### Step 1: Analyze Statement-1
**Statement-1**: "For a charged particle moving from point P to point Q, the net work done by an electrostatic field on the particle is independent of the path connecting point P to point Q."

- **Explanation**: The electrostatic field is a conservative field. In conservative fields, the work done by the field on a charged particle depends only on the initial and final positions, not on the path taken. Therefore, the work done by the electrostatic field when moving a charge from point P to point Q is indeed independent of the path taken.

- **Conclusion**: Statement-1 is **True**.

### Step 2: Analyze Statement-2
**Statement-2**: "The net work done by a conservative force on an object moving along a closed loop is zero."

- **Explanation**: By definition, a conservative force is one where the work done in moving an object around a closed path (loop) is zero. This means that if you return to your starting point after moving along any path, the total work done by the conservative force will cancel out to zero. This is a fundamental property of conservative forces.

- **Conclusion**: Statement-2 is **True**.

### Step 3: Relationship Between Statements
Now that we have established that both statements are true, we need to determine if one statement provides a correct explanation for the other.

- **Explanation of Relationship**: Statement-1 discusses the independence of work done by an electrostatic field on the path taken, which is a characteristic of conservative forces. Statement-2 reinforces this concept by stating that the work done by a conservative force over a closed loop is zero. Thus, Statement-2 can be seen as a specific case of the general property described in Statement-1.

### Final Conclusion
Both statements are true, and Statement-2 provides a correct explanation for Statement-1. Therefore, the best choice among the options given would be that both statements are true and Statement-2 is the correct explanation for Statement-1.

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