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NEETPhysicsCapacitance

Assertion (A): A parallel plate capacitor is connected across battery through a key. A dielectric slab of dielectric constant (K ) is introduced between the plates. The energy which is stored becomes (K ) times of the initial value. Reason (R): The surface density of charge is charge per und volume.

Options

  1. AIf both Assertion (A) and Reason (R) are True and the Reason ( (R )) is a correct explanation of Assertion (A)
  2. BIf both Assertion (A) and Reason (R) are True but Reason (( R ) ) is not a correct explanation of the Assertio
  3. CIf Assertion (A) is True but the Reason (R) is False.
  4. DAssertion (A) is False but the Reason (R) is True.

Correct answer

C. If Assertion (A) is True but the Reason (R) is False.

Step-by-step solution

In the given case (V=V₀ ) (constant) energy stored in the capacitor (= 1 2 C V^2|C K C| ), so energy stored will become (A ) times (Q=C V ), so (Q ) will become (K ) times Surface charge density ( ^ = K q A =K ₀ )

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