AIIMS2019Physics-Electrostatics

AIIMS 2019 Physics Capacitors and Dielectrics Assertion Reason Question

Type: Assertion Reason-conceptual-Medium-Class 12

Assertion: 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 stored becomes k times. Reason: The surface density of charge on the plate remains constant.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Correct Answer

Option C

Detailed Explanation

The assertion is true because when a dielectric slab with dielectric constant kk is introduced into a parallel plate capacitor connected to a battery, the energy stored in the capacitor increases by a factor of kk due to the reduction in electric field and increase in capacitance. However, the reason is false; the surface charge density on the plates does not remain constant when a dielectric is introduced, as the battery maintains a constant voltage, leading to a change in charge density. Therefore, while both statements are true, the reason does not correctly explain the assertion, making option C the correct choice. Options A and B are incorrect because they imply a correct relationship between the assertion and reason, while option D is incorrect since the assertion is indeed true.

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