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A drop of water of mass 18xx10^-3 g fall...

A drop of water of mass `18xx10^-3` g falls away from the bottom of a charged conducting sphere of radius 20 cm, carrying with it a charge of `10^(-9)C` and leaving on the sphere a uniformly distributed charge of `2.5xx10^(-6)C`. What is the speed of the drop after it has fallen 30 cm? `(4piepsi_(0))^(-1)=9xx10^(9)JmC^(-2)`

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Knowledge Check

  • A drop of water of mass m falls away from the bottom of charged conducting sphere of radius R, carrying with it a charge q_(1) and leaving the sphere a uniformly distributed charge q_(2) . The kinetic energy of the drop after it has fallen height h is -

    A
    `(1)/(4pixi_(0))q_(1)q_(2)((h)/(R(R+h)))`
    B
    mgh
    C
    `(1)/(4pixi_(0))q_(1)q_(2)((h)/(R(R+h)))+mgh`
    D
    `(1)/(4pixi_(0))(q_(1)q_(2))/(h)+mgh`

  • A conducting sphere of radius 10 cm is given a charge of +2xx10^(-8)C . What will be its potential?

    A
    `0.03 kV`
    B
    `0.9 kV`
    C
    `1.8 kV`
    D
    `3.6 kV`

  • A metallic sphere of radius 18 cm has been given a charge of 5xx10^(-6)C. The energy of the charged conductor is

    A
    `0.2J`
    B
    `0.6J`
    C
    `1.2J`
    D
    `2.4J`

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