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Q charge is distributed uniformly throug...

Q charge is distributed uniformly through the volume of a sphere of radius R, The energy of the system will be—

A

`1/(4piepsilon_0)(3Q^2)/R`

B

`1/(4piepsilon_0)(3Q^2)/(5R)`

C

`1/(4piepsilon_0)(Q^2)/(2R)`

D

`1/(4piepsilon_0)(2Q^2)/R`

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Knowledge Check

  • The volume of a sphere of radius r/2 units is

    A
    `1/6 pir^3`cubic unit
    B
    `4/3 pir^3`cubic unit
    C
    `2/3 pir^3`cubic unit
    D
    `1/3 pir^3`cubic unit

  • The radius of a right circular cone and its height is r unit . The volume of the sphere of diameter equal to the stant height of the cone will be

    A
    ` (2r^(3))/3 pi ` cu - unit
    B
    ` (sqrt(2r^(3)))/3 pi ` cu - point
    C
    ` (4r^(3))/3 pi ` cu - unit
    D
    ` (r^(3))/3 ` cu - unit

  • A charge +Q is uniformly distributed in a spherical volume of radius R. A particle of charge +q and mass m is projected with velocity v_0 from the surface of the spherical volume to its centre. The minimum value of v_0 such that it just reaches the centre (assume that there is no resistance on the particle except electrostatic force) of the spherical volume is

    A
    `sqrt((Qq)/(2piepsilon_0mR))`
    B
    `sqrt((Qq)/(piepsilon_0mR))`
    C
    `sqrt((2Qq)/(piepsilon_0mR))`
    D
    `sqrt((Qq)/(4piepsilon_0mR))`

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