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