| Directions: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as: |
| Assertion (A): 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 (R): The surface density of charge on the plate remains constant or unchanged. |
A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)
C) Assertion (A) is true but Reason (R) is false
D) Assertion (A) is false and Reason (R) is also false
Correct Answer: C
Solution :
(c) In the given case \[V={{V}_{0}}\](constant) Energy stored in the capacitor \[=\frac{1}{2}C{{V}^{2}}\] When a dielectric slab of constant K is introduced, between the plates then energy stored will become K times In this case, charge also becomes QK. \[\therefore \]Surface charge density \[\sigma =\frac{KQ}{A}=k{{\sigma }_{0}}\]
You need to login to perform this action.
You will be redirected in
3 sec
