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The electrostatic potential inside a cha...

The electrostatic potential inside a charged spherical ball is given by `phi=ar^2+b` where r is the distance from the centre, a, b are constants.

A

`-6aepsilon_0r`

B

`24piaepsilon_0r`

C

`-6aepsilon_0`

D

`24piaepsilon_0`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • A hollow metal sphere of radius R is charged with a charge Q. The electric potential and intensity inside the sphere are respectively density p=A/R , where A is a constant and r is the distance from the centre. At the centre of the spheres is a point charge Q. The value of A such that the electric field in the region between the spheres will be constant, is

    A
    `(2Q)/(pia^2)`
    B
    `Q/(2pia^2`
    C
    `Q/(2pi(b^2-a^2))`
    D
    `(2Q)/(pi(b^2-a^2))`

  • A point charge -q is carried from a point A to anther point B on the axis of a charged ring of radius r carrying a charge +q. If the point A is at a distance 4/3 r from the centre of the ring and the point B is 3/4 r from the centre but on the opposite side, what is the net work that need to be done for this

    A
    `-7/5 (q^2)/(4pi epsilon_(0)r)`
    B
    `-1/5 (q^2)/(4pi epsilon_(0)r)`
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    `7/5 (q^2)/(4pi epsilon_(0)r)`
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    `1/5 (q^2)/(4pi epsilon_(0)r)`

  • Suppose earth is a solid sphere of radius R made of a material of density rho . There is a spherical cavity inside earth whose centre is at B . Distance of centre B from the centre of earth A is a . A particle is projected from point D with a velocity u towards the centre of the cavity with a velocity u and the particle strikes the surface of cavity at point C as shown in figure . then

    A
    `u=sqrt(2/3(pirhoGaR))`
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    `u=sqrt(1/3(pirhoGaR))`
    C
    `u=sqrt(2pirhoGaR)`
    D
    The particle will never strike the point C

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