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A : The field in a cavity inside a condu...

A : The field in a cavity inside a conductor is zero which causes electrosatic shielding.
R : Dielectric constant of conducotrs in electrostatics is infinite.

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 the 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 given question, we will analyze both the assertion (A) and the reason (R) step by step. ### Step 1: Understanding the Assertion (A) The assertion states that "The field in a cavity inside a conductor is zero which causes electrostatic shielding." - In electrostatics, when a conductor is in electrostatic equilibrium, the electric field inside the conductor is zero. - If there is a cavity within the conductor, the charges on the conductor redistribute themselves in such a way that the electric field inside the cavity is also zero. - This phenomenon is known as electrostatic shielding, where external electric fields do not penetrate into the cavity. ### Step 2: Analyzing the Reason (R) The reason states that "Dielectric constant of conductors in electrostatics is infinite." - The dielectric constant (k) is defined as the ratio of the electric field in a vacuum to the electric field in a material. - For conductors, the electric field inside is zero when they are in electrostatic equilibrium. - If we consider the formula for the electric field in a medium, \( E = \frac{Q}{4\pi \epsilon_0 k r^2} \), and set \( E = 0 \) for a conductor, we can deduce that \( k \) must approach infinity to satisfy the equation since we cannot have a zero denominator. ### Step 3: Conclusion - Both the assertion and the reason are correct. - However, the reason provided does not directly explain the assertion. The assertion is based on the properties of conductors in electrostatic equilibrium, while the reason discusses the dielectric constant, which is a separate concept. ### Final Answer - The correct answer is: **Option B**: Statement 1 is correct, Statement 2 is correct, but Statement 2 is not the correct explanation of Statement 1.
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