RAJASTHAN PMT Rajasthan - PMT Solved Paper-2002

  • question_answer
    The insulation property of air breaks down at intensity as \[3\times {{10}^{6}}\,V/m\]. The maximum charge that can be given to a sphere of diameter 5 m is:

    A)  \[2\times {{10}^{-2}}C\]              

    B)         \[2\times {{10}^{-3}}C\]

    C)  \[2\times {{10}^{-4}}C\]              

    D)         0

    Correct Answer: B

    Solution :

                   \[E=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{q}{{{r}^{2}}}\] \[_{q\max }=E.4\pi {{\varepsilon }_{0}}{{r}^{2}}\] \[\begin{align}   & =3\times {{10}^{6}}\times \frac{1}{3\times {{10}^{9}}}\times {{\left( \frac{5}{2} \right)}^{2}} \\  & =2\times {{10}^{-3}}C \\ \end{align}\]


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