JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    \[N\] identical spherical drops charged to the same potential \[V\] are combined to form a big drop. The potential of the new drop will be                            [MP PMT 1990, 2001; KCET 2000; Kerala PET 2002]

    A)                    \[V\]

    B)                                      \[V/N\]

    C)                    \[V\times N\]              

    D)            \[V\times {{N}^{2/3}}\]

    Correct Answer: D

    Solution :

               If the drops are conducting, then \[\frac{4}{3}\pi {{R}^{3}}=N\,\left( \frac{4}{3}\pi {{r}^{3}} \right)\] Þ\[R={{N}^{1/3}}r\]. Final charge Q = Nq So final potential \[V=\frac{Q}{R}\]  \[=\frac{Nq}{{{N}^{1/3}}r}=V\times {{N}^{2/3}}\]


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