| 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 charged capacitor is disconnected from a battery. Now if its plate are separated farther, the potential energy will fall. |
| Reason (R): Energy stored in a capacitor is not equal to the work done in charging it. |
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: D
Solution :
(d) Battery is disconnected from the capacitor. So, Q = constant. Energy, \[=\frac{{{Q}^{2}}}{2C}=\frac{{{Q}^{2}}d}{2{{\varepsilon }_{0}}A}\Rightarrow \,Energy\,\propto \,d\] Also, energy stored in a capacitor is not equal to the work done in charging it.
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