AIIMS 2019 Physics Capacitors and Dielectrics Assertion Reason Question
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.
If both assertion and reason are true and reason is the correct explanation of assertion.
If both assertion and reason are true but reason is not the correct explanation of assertion.
If assertion is true but reason is false.
If both assertion and reason are false.
Correct Answer
Detailed Explanation
The assertion is true because when a dielectric slab with dielectric constant is introduced into a parallel plate capacitor connected to a battery, the energy stored in the capacitor increases by a factor of 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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