JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    Eight drops of mercury of equal radii possessing equal charges combine to form a big drop. Then the capacitance of bigger drop compared to each individual small drop is [MP PET 1990; MNR 1987; MP PMT 2002, 03; Pb. PET 2004; J & K CET 2005]

    A)                    8 times                            

    B)            4 times

    C)                    2 times

    D)                                      32 times

    Correct Answer: C

    Solution :

                       Volume of 8 small drops = Volume of big drop \[8\times \frac{4}{3}\pi {{r}^{3}}=\frac{4}{3}\pi {{R}^{3}}\] Þ R = 2r As capacity is r, hence capacity becomes 2 times.


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