In the following question a statement of assertion (A) is followed by a statement of reason (R )
A : Electric field is discontinuous across the surface of a charged conductor.
R : Electric potential is discontinuous across the surface of a charged conductor .

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion , then mark (1).
B. If both Assertion & Reason are true but the reason is not correct explanation of the assertion then mark (2)
C. If Assertion is true statement but Reason is false, then mark (3)
D. If both Assertion and Reason are false statements , then mark (4).

Answer

To analyze the statements provided in the question, we will break down the assertion (A) and the reason (R) step by step.

### Step 1: Understanding the Assertion (A)
**Assertion (A): Electric field is discontinuous across the surface of a charged conductor.**

- In electrostatics, when a conductor is charged, the electric field inside the conductor is zero. However, just outside the surface of the conductor, the electric field is non-zero and directed outward (for a positively charged conductor).
- At the surface, there is a sudden change in the electric field from zero (inside the conductor) to a non-zero value (just outside the conductor). This indicates that the electric field is indeed discontinuous at the surface of the conductor.

### Step 2: Understanding the Reason (R)
**Reason (R): Electric potential is discontinuous across the surface of a charged conductor.**

- The electric potential (V) inside a conductor in electrostatic equilibrium is constant and equal to the potential at the surface of the conductor.
- The potential does not change abruptly; it is continuous across the surface of the conductor. Therefore, the statement that the electric potential is discontinuous is incorrect.

### Step 3: Conclusion
- The assertion (A) is true: the electric field is discontinuous across the surface of a charged conductor.
- The reason (R) is false: the electric potential is continuous across the surface of a charged conductor.

### Final Answer
Since the assertion is true and the reason is false, the correct option is that the assertion is correct, but the reason is incorrect.

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