Question

Statement I A charged capacitor is disconnected from a battery. Now if its plates are separated further, the potential energy will fall.
Statement II Energy stored in a capacitor is equal to the work done in charging it.

• A. Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I.
• B. Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I.
• C. Statement I is correct but Statement II is incorrect.
• D. Statement I is incorrect but Statement II is correct.

Answer 1

Answer: (D)

Battery is disconnected from the capacitor,
So, $Q=$ constant
Energy $=\frac{Q^{2}}{2 C}=\frac{Q^{2} d}{2 \varepsilon_{0} A}$
$\Rightarrow$ Energy $\propto d$