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A non-uniformly charged sphere has charge density given by where is a constant, is the distance from the centre and is the radius of the sphere. Then the total charge inside the sphere is proportional to
(a)
(b)
(c)
(d)

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Important Questions on Electrostatics
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There is a uniform electric field of strength along the axis. A particle of mass and charge is projected into the field from the origin along the -axis with a velocity of . Then the magnitude of its velocity after will be (neglect gravitation)

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An infinitely long thin straight wire has uniform linear charge density of Magnitude of electric intensity at point away is ______

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Points and are separated by and a uniform electric field is acting from to with A charge of is taken from to Force acting on the charge is ________

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Two point charges and are placed at a point and at origin respectively. The point along the -axis where the electric field vanishes is

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An infinite line charge produces a field of at a distance of What is the linear charge density?

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The electric field strength due to a point charge, at a distance of from it, is ________

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The potential at the centre of a hollow, charged metal sphere of radius , so that the potential on its surface , is

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The kinetic energy of an electron which is accelerated through a potential difference of will be ___ .
