A) \[18\,\,\times \,\,{{10}^{-4}}\,J\]
B) \[9\,\,\times \,\,{{10}^{-4}}\,J\]
C) \[4.5\,\,\times \,\,{{10}^{-4}}\,J\]
D) \[9\,\,\times \,\,{{10}^{-6}}\,J\]
Correct Answer: B
Solution :
\[\Delta E={{E}_{Final}}-{{E}_{Initial}}=\frac{1}{2}C\left( V_{Final}^{2}-V_{Initial}^{2} \right)\] \[=\frac{1}{2}\times 6\times \left( 2{{0}^{2}}-1{{0}^{2}} \right)\times 1{{0}^{-6}}\] \[=3\times \left( 400-100 \right)\times {{10}^{-}}^{6}\] \[=\,\,3\times 300\times {{10}^{-6}}\,\,=\,\,9\times {{10}^{-4}}\,J\]
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