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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Electric Field and Potential

  • question_answer
    Two metal spheres of radii \[{{R}_{1}}\] and \[{{R}_{2}}\] are charged to the same potential. The ratio of charges on the spheres is [KCET 1999]

    A)            \[\sqrt{{{R}_{1}}}\ :\ \sqrt{{{R}_{2}}}\]

    B)                                      \[{{R}_{1}}\ :\ {{R}_{2}}\]

    C)            \[R_{1}^{2}\ :\ R_{2}^{2}\]    

    D)            \[R_{1}^{3}:\ R_{2}^{3}\]

    Correct Answer: B

    Solution :

                         Spheres have same potential i.e. \[k\frac{{{Q}_{1}}}{{{R}_{1}}}=k\frac{{{Q}_{2}}}{{{R}_{2}}}\]Þ \[\frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{{{R}_{1}}}{{{R}_{2}}}\]


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