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Physics · Electrostatic Potential

हिन्दी

Given below are two statements: Statement I: The dielectric constant \( K \) of a substance is a dimensionless ratio defined as \( \frac{\varepsilon}{\varepsilon_0} \). Statement II: When a dielectric slab completely fills the space between the plates of a parallel-plate capacitor, the electric field between the plates increases by a factor of \( K \) when the capacitor is isolated from the battery. In the light of the above statements, choose the most appropriate answer from the options given below:

  1. Both Statement I and Statement II are correct.
  2. Both Statement I and Statement II are incorrect.
  3. Statement I is correct but Statement II is incorrect.
  4. Statement I is incorrect but Statement II is correct.

Correct answer · Option 3

Statement I is correct but Statement II is incorrect.

Explanation

Statement I is correct as \( K = \varepsilon / \varepsilon_0 \). Statement II is incorrect because when isolated (constant \( Q \)), the electric field decreases to \( E = E_0 / K \).
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