AFMC AFMC Solved Paper-2009

  • question_answer
    identical mercury droplets charged to the same potential V coalesce to form a single bigger drop. The potential of new drop will be

    A) \[\frac{V}{n}\]                                  

    B) nV

    C)  nV2                                       

    D)  n2/3 V

    Correct Answer: D

    Solution :

    Suppose we have n identical drops each having radius r, capacitance C, charge q and potential V. If these drops are combined to form a big drop of radius R, capacitance C', charge Q and potential V will become : Charge on big drop \[Q=nq\] Capacitance of big drop \[C'={{n}^{1/3}}C\] Hence potential of big drop \[V'=\frac{Q}{C'}\] \[=\frac{nq}{{{n}^{1/3}}C}\] \[={{n}^{2/3}}V\]


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