JIPMER Jipmer Medical Solved Paper-2001

  • question_answer
    What is the magnitude of a point charge due to which the electric field 30 cm away has the magnitude \[2N\text{/}C\]\[\left( \frac{1}{4\pi {{\varepsilon }_{0}}}=9\times {{10}^{9}}\text{N}{{\text{m}}^{\text{2}}}\text{/}{{\text{C}}^{\text{2}}} \right)\]

    A)  \[2\times {{10}^{-11}}C\]            

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

    C)         \[5\times {{10}^{-11}}C\]            

    D)         \[9\times {{10}^{-11}}C\]

    Correct Answer: A

    Solution :

    Electric field due to point charge \[E=\frac{q}{4\pi {{\varepsilon }_{0}}{{r}^{2}}}\] or \[q=E\,4\pi {{\varepsilon }_{0}}{{r}^{2}}\] \[\therefore \]  \[q=E\times 4\pi {{\varepsilon }_{0}}{{r}^{2}}=2\times \frac{1}{9\times {{10}^{9}}}\times {{\left( \frac{30}{100} \right)}^{2}}\] \[=2\times {{10}^{-11}}C\]


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