RAJASTHAN PMT Rajasthan - PMT Solved Paper-2008

  • question_answer
    The work done in placing a charge of \[8\times {{10}^{-18}}C\] on a condenser of capacity 100 micro-farad is

    A)  \[16\times {{10}^{-32}}\text{J}\]                             

    B)  \[3.1\times {{10}^{-26}}\text{J}\]

    C)  \[4\times {{10}^{-10}}\text{J}\]               

    D)         \[32\times {{10}^{-32}}\text{J}\]

    Correct Answer: D

    Solution :

                    \[W=\frac{1}{2}\frac{{{q}^{2}}}{C}\]                 \[=\frac{1}{2}\times \frac{{{(8\times {{10}^{-18}})}^{2}}}{100\times {{10}^{-6}}}\]                 \[=\frac{1}{2}\times \frac{64\times {{10}^{-36}}}{100\times {{10}^{-6}}}\]                 \[=32\times {{10}^{-32}}J\]


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