12th Class Physics Electric Charges and Fields Question Bank Case Based (MCQs) - Electric Charges and Fields

  • question_answer
    Two identical charges repel each other with a force equal to 10 mgwt when they are \[0\centerdot 6m\] apart in air, \[\left( g=10\text{ }m{{s}^{-2}} \right)\]. Then value of each charge is

    A) \[2\,mC\]

    B) \[2\times {{10}^{-7}}mC\]

    C) \[2\,nC\]

    D) \[2\mu C\]

    Correct Answer: D

    Solution :

    \[F=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{q}_{1}}{{q}_{2}}}{{{d}^{2}}}\] \[\therefore \,\,\,\left( 10\times {{10}^{-3}} \right)\times 10=\frac{\left( 9\times {{10}^{9}} \right)\times {{q}^{2}}}{{{\left( 0.6 \right)}^{2}}}\] Or \[{{q}^{2}}=\frac{{{10}^{-1}}\times 0\,.\,36}{9\times {{10}^{9}}}\] \[=4\times {{10}^{-12}}\] Or \[q=2\times {{10}^{-6}}C=2\,\,\mu C\].


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