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

  • question_answer
    Two particle of equal mass m and charge q are placed at a distance of 16 cm. They do not experience any force. The value of \[\frac{q}{m}\] is

    A) 1

    B) \[\sqrt{\frac{\pi {{\varepsilon }_{0}}}{G}}\]

    C) \[\sqrt{\frac{G}{4\pi {{\varepsilon }_{0}}}}\]

    D) \[\sqrt{4\pi {{\varepsilon }_{0}}}\]

    Correct Answer: D

    Solution :

    [d] They will not experience any force if \[|{{\vec{F}}_{G}}|=|{{\vec{F}}_{e}}|\] \[\Rightarrow G\frac{{{m}^{2}}}{{{\left( 16\times {{10}^{-2}} \right)}^{2}}}=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{{{q}^{2}}}{{{\left( 16\times {{10}^{-2}} \right)}^{2}}}\] \[\Rightarrow \frac{q}{m}=\sqrt{4\pi {{\varepsilon }_{0}}G}\]


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