| ASSERTION: A parallel plate capacitor is connected across battery through a key. A dielectric slab of constant K is introduced between the plates. The energy which is stored becomes K times. |
| REASON: The surface density of charge on the plate remains constant or unchanged. |
A) If both assertion and reason are true and reason is the correct explanation of assertion.
B) If both assertion and reason are true and 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.
E) If assertion is false but reason is true.
Correct Answer: C
Solution :
In the given case \[V={{V}_{0}}\](Constant) Energy stored in the capacitor \[=\frac{1}{2}C{{V}^{2}}\] \[C\to KC\], So energy stored will become A times \[Q=CV\], so Q will become K times \[\therefore \]Surface charge density \[\sigma '=\frac{Kq}{A}=K{{\sigma }_{0}}\]
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