Assertion : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.
Reason : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.

Options

A. If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are true but Reason is not correct explanation of Assertion.
C. If Assertion is true but Reason is false.
D. If Assertion is false but Reason is true.

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Understand the Assertion
The assertion states: "For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on the axis of the ring is zero."

**Analysis**:
- The electric field is a vector quantity, which means it has both magnitude and direction.
- For a non-uniformly charged ring, the distribution of charge is not uniform. This means that different parts of the ring contribute differently to the electric field at a point on the axis.
- Even though the net charge of the ring is zero, the contributions from the different parts of the ring do not cancel out completely due to their non-uniform distribution. Therefore, the electric field at any point on the axis will not be zero.

**Conclusion**: The assertion is **false**.

### Step 2: Understand the Reason
The reason states: "For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on the axis of the ring is zero."

**Analysis**:
- Electric potential is a scalar quantity, which means it does not have direction and can be summed algebraically.
- For a non-uniformly charged ring with a net charge of zero, the contributions to the electric potential from all the charge elements will sum to zero because the potential due to each charge is proportional to the charge itself and the distance from the point of interest.
- Since the net charge is zero, the total potential at any point on the axis will also be zero.

**Conclusion**: The reason is **true**.

### Final Conclusion
- The assertion is false, and the reason is true. Therefore, the correct answer to the question is that the assertion is incorrect while the reason is correct.