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12th Class Physics Electrostatics & Capacitance Question Bank Case Based (MCQs) - Electrostatic Potential and Capacitance

  • question_answer
    A metallic sphere of radius 18 cm has been given a charge of \[5\times {{10}^{-6}}C\]. The energy of the charged conductor is:

    A) 0.2J                             

    B) 06 J

    C) 1.2J                             

    D) 2.4J

    Correct Answer: B

    Solution :

    (b) 0,6 J Here, \[r=18cm=18\times {{10}^{-2}}m,\,q=5\times {{10}^{-6}}C\] As  \[C=4\pi {{\varepsilon }_{0}}r\] \[=\frac{18\times {{10}^{-2}}}{9\times {{10}^{9}}}=2\times {{10}^{-11}}F\] Energy of charged conductor is \[U=\frac{{{q}^{2}}}{2C}=\frac{{{\left( 5\times {{10}^{-6}} \right)}^{2}}C}{2\times 2\times {{10}^{-11}}F}=0.625J\]     


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