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In the following question a statement of...

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 .

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).

Text Solution

AI Generated Solution

The correct Answer is:
To solve the assertion and reason question, we will analyze both statements step by step. ### Step 1: Analyze the Assertion (A) **Assertion (A):** Electric field is discontinuous across the surface of a charged conductor. - **Explanation:** In electrostatics, when a conductor is charged, the charges reside on the surface. The electric field just outside the surface of the conductor is directed away from the surface (for positive charges) and has a certain magnitude. Inside the conductor, the electric field is zero. Therefore, there is a sudden change in the electric field at the surface, making it discontinuous. ### Step 2: Analyze the Reason (R) **Reason (R):** Electric potential is discontinuous across the surface of a charged conductor. - **Explanation:** Electric potential is a scalar quantity, which means it does not have a direction. For a charged conductor, the electric potential is constant throughout the conductor and changes smoothly as you move from inside to outside the conductor. Therefore, the electric potential is continuous across the surface of a charged conductor, making this statement false. ### Step 3: Conclusion - The assertion (A) is **true**: Electric field is indeed discontinuous across the surface of a charged conductor. - The reason (R) is **false**: Electric potential is continuous across the surface of a charged conductor. ### Final Answer The correct answer is that the assertion is true, but the reason is false. ---
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