A) \[3.75\times {{10}^{6}}J\]
B) \[2.55\times {{10}^{6}}J\]
C) \[2.16\times {{10}^{6}}J\]
D) \[6.25\times {{10}^{6}}J\]
Correct Answer: A
Solution :
Work done \[=\Delta U\] \[={{U}_{f}}-{{U}_{i}}\] \[=\frac{{{q}^{2}}}{2{{C}_{f}}}-\frac{{{q}^{2}}}{2{{C}_{i}}}\] \[=\frac{{{\left( 5\times {{10}^{-6}} \right)}^{2}}}{2}\left( \frac{1}{2\times {{10}^{-6}}}-\frac{1}{5\times {{10}^{-6}}} \right)\] \[=\frac{15}{4}\times {{10}^{-6}}\] \[=3.75\times {{10}^{-6}}J\] Option [a]
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