A) \[6\centerdot 25\times {{10}^{-6}}J\]
B) \[3\centerdot 75\times {{10}^{-6}}J\]
C) \[2\centerdot 16\times {{10}^{-6}}J\]
D) \[2\centerdot 55\times {{10}^{-6}}J\]
Correct Answer: B
Solution :
Work done \[{{U}_{f}}-{{U}_{i}}=\frac{1}{2}\,\frac{{{q}^{2}}}{{{C}_{f}}}-\frac{1}{2}\frac{{{q}^{2}}}{{{C}_{i}}}\] \[=\frac{{{q}^{2}}}{2}\left[ \frac{1}{{{C}_{f}}}-\frac{1}{{{C}_{i}}} \right]\] \[=\frac{{{\left( 5\times {{10}^{-6}} \right)}^{2}}}{2}\left[ \frac{1}{2\times {{10}^{-6}}}-\frac{1}{5\times {{10}^{-6}}} \right]\] \[=3\,.\,75\,\times {{10}^{-6}}\,J\].You need to login to perform this action.
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