Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2004

  • question_answer
    What is the magnitude of a point charge which produces an electric field of 2 N/C at a distance of 60 cm? \[[\frac{1}{4\pi {{\varepsilon }_{0}}}=9\times {{10}^{9}}\text{N-}{{\text{m}}^{\text{2}}}\text{/}{{\text{C}}^{\text{2}}}\text{ }\!\!]\!\!\text{ }\]

    A)  \[8\times {{10}^{11}}C\]                             

    B) \[2\times {{10}^{-12}}C\]

    C)  \[3\times {{10}^{-11}}C\]                            

    D) \[6\times {{10}^{-10}}C\]

    Correct Answer: A

    Solution :

    Given \[E=2N/C,\] \[r=60\times {{10}^{-2}}m\] \[\because \]     \[E=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{q}{{{r}^{2}}}\] or            \[q=4\pi {{\varepsilon }_{0}}E{{r}^{2}}=\frac{2\times 60\times {{10}^{-2}}}{9\times {{10}^{9}}}\]                 \[=8\times {{10}^{-11}}C\]


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