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Q.

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 which is stored becomes K times.
Reason: The surface density of charge on the plate remains constant or unchanged.

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a

If assertion is true but reason is false.

b

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

c

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

d

If both the assertion and reason are false.

answer is C.

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Detailed Solution

Energy stored in the capacitor U=12CV2
When a dielectric slab of dielectric constant K is introduced between the plates of the condenser, then
it becomes KC
So energy stored will become K times.
Since Q =CV, So Q will become K times
∴ Surface charge density
σ=KQA=Kσ0

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