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Physics · Electrostatic Potential

हिन्दी

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): A practical capacitor designed with a capacitance of \( 1\text{ F} \) with plate separation of \( 1\text{ cm} \) in vacuum requires plate dimensions comparable to a small city. Reason (R): The permittivity of free space \( \varepsilon_0 \) is extraordinarily large in SI units. In the light of the above statements, choose the correct answer from the options given below:

  1. Both (A) and (R) are true and (R) is the correct explanation of (A).
  2. Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
  3. is true but (R) is false.
  4. is false but (R) is true.

Correct answer · Option 3

is true but (R) is false.

Explanation

Assertion is true because \( A = Cd/\varepsilon_0 \approx 10^9\text{ m}^2 \) (a plate of \( 30\text{ km} \times 30\text{ km} \)). Reason is false because \( \varepsilon_0 = 8.85 \times 10^{-12}\text{ F/m} \), which is extremely small, not large.
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