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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Self Evaluation Test - Electric Chages and Fields

  • question_answer
    Two positive ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be (e being the charge of an electron)

    A) \[\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}\]

    B) \[\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{e}^{2}}}{{{d}^{2}}}}\]

    C) \[\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}}\]

    D) \[\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{q}^{2}}}\]

    Correct Answer: C

    Solution :

    [c] Let n be the number of electrons missing. \[F=\frac{1}{4\pi {{\varepsilon }_{0}}}\cdot \frac{{{q}^{2}}}{{{d}^{2}}}\Rightarrow q=\sqrt{4\pi {{\varepsilon }_{0}}{{d}^{2}}F}=ne\] \[\therefore n=\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}}\]


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