A) \[{{H}_{1}}={{H}_{2}}\]
B) \[{{H}_{1}}=\frac{1}{2}{{H}_{2}}\]
C) \[{{H}_{1}}=2{{H}_{2}}\]
D) \[{{H}_{1}}={{H}_{2}}\text{/}4\]
Correct Answer: A
Solution :
Work done by battery\[=C{{V}^{2}}\] Energy stored in capacitor\[=\frac{1}{2}C{{V}^{2}}\] \[{{H}_{1}}=C{{V}^{2}}-1\text{/}2\,C{{V}^{2}}=1\text{/}2\,C{{V}^{2}}\] So, \[{{H}_{1}}={{H}_{2}}\]
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