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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Charge and Coulombs Law

  • question_answer
    Three equal charges are placed on the three corners of a square. If the force between \[{{q}_{1}}\] and \[{{q}_{2}}\]is \[{{F}_{12}}\] and that between \[{{q}_{1}}\]and \[{{q}_{3}}\] is \[{{F}_{13}}\], the ratio of magnitudes \[\frac{{{F}_{12}}}{{{F}_{13}}}\] is  [MP PET 1993]           

    A)                    \[1/2\]                                       

    B)                    2

    C)                    \[1/\sqrt{2}\]               

    D)                    \[\sqrt{2}\]

    Correct Answer: B

    Solution :

               \[{{F}_{12}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\cdot \frac{{{q}^{2}}}{{{a}^{2}}}\] and \[{{F}_{13}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\cdot \frac{{{q}^{2}}}{{{(a\sqrt{2})}^{2}}}\]Þ \[\frac{{{F}_{12}}}{{{F}_{13}}}=2\]           


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