ElectrostaticsHard

Question

An electric field converges at the origin whose magnitude is given by the expression E = 100r N/C, where r is the distance measured from the origin.

Options

A.Total charge contained in any spherical volume with its centre at origin is negative.
B.Total charge contained at any spherical volume, irrespective of the location of its centre, is negative.
C.Total charge contained in a spherical volume of radius 3 cm with its centre at origin equals 3 × 10-13 C.
D.Total charge contained in a spherical volume of radius 3 cm with its centre at origin equals has magnitude 3 × 10-9 C.

Solution

An the electric field converges at the origin so total charge contained in any spherical volume, irrespective of the location, is negative.
By Gauss therom
We have - E(4πr2) = ⇒  q = - 3 × 10-13C

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