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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Self Evaluation Test - Electrostatic Potential and Capacitance

  • question_answer
    The 1000 small droplets of water each of radius r and charge Q, make a big drop of spherical shape. The potential of big drop is how many times the potential of one small droplet?

    A) 1

    B) 10   

    C) 100

    D) 1000

    Correct Answer: C

    Solution :

    [c] Volume of big drop=1000\[\times \]volume of each small drop \[\frac{4}{3}\pi {{R}^{3}}=1000\times \frac{4}{3}\pi {{r}^{3}}\Rightarrow R=10r\] \[\therefore V=\frac{kq}{r}\text{  and  }V'=\frac{kq}{R}\times 1000\] Total charge on one small droplet is q and on the big drop is 1000q. \[\Rightarrow \frac{V'}{V}=\frac{1000r}{R}=\frac{1000}{10}=100\] \[\therefore V'=100V\]


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