Which of the following statement is true?

Options

A. Electrostatic force is a conservative force.
B. Potential at a point is the work done per unit charge in bringing a charge from any point to infinity.
C. Electrostatic force is non-conservative.
D. Potential is the product of charge and work.

Answer

To determine which of the statements is true regarding electrostatics, we will analyze each statement one by one.

### Step 1: Analyze the First Statement
**Statement:** Electrostatic force is a conservative force.

**Analysis:**
- A force is termed conservative if the work done by the force on an object moving between two points is independent of the path taken.
- In electrostatics, the work done by the electrostatic force when moving a charge from one point to another depends only on the initial and final positions, not on the path taken.
- Therefore, the electrostatic force is indeed a conservative force.

**Conclusion:** This statement is **true**.

### Step 2: Analyze the Second Statement
**Statement:** The potential at a point is work done per unit charge in bringing a charge from any point to infinity.

**Analysis:**
- The electric potential (V) at a point is defined as the work done per unit charge in bringing a unit positive charge from infinity to that point, not from any point to infinity.
- Therefore, this statement is incorrect because it misrepresents the definition of electric potential.

**Conclusion:** This statement is **false**.

### Step 3: Analyze the Third Statement
**Statement:** Electrostatic force is a non-conservative force and potential is the product of charge and work.

**Analysis:**
- As established in Step 1, the electrostatic force is a conservative force, making the first part of this statement false.
- The second part states that potential is the product of charge and work. This is also incorrect. The work done (W) in moving a charge (q) through a potential difference (V) is given by W = qV, which means potential is not the product of charge and work but rather relates to work done per unit charge.

**Conclusion:** This statement is **false**.

### Final Conclusion
Based on the analysis of all three statements, the only true statement is that **electrostatic force is a conservative force**.

---