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An electric field converges at the origi...

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.

A

Total charge contained in any spherical volume with its centre at origin 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 `3xx10^(-13) C`

D

Total charge contained in a spherical volume of radius 3 cm with its centre at origin has magnitude `3xx10^(-9) C`.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
As the electric field converges at the origin so total charge contained in any spherical volume, irrespective of the location, is negative.
By Gauss theorem `int vec(E).dvec(s)=q/in_(0)`
We have `-E(4pir^(2))=q/in_(0)rArr q=-3xx10^(-13) C`
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