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

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Total charge contained in a spherical volume of radius $3 c m$ with its centre at origin has magnitude $3 \times 10^{- 9} C$

Total charge contained in any spherical volume, irrespective of the location of its centre, is negative

Total charge contained in a spherical volume of radius $3 c m$ with its centre at origin has magnitude $3 \times 10^{- 13} C$

Total charge contained in any spherical volume with its centre at origin is negative

answer is A, B, C.

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Detailed Solution

In the case of converging electric field, the charge should be negative.

And $E = \frac{1}{4 π ε_{0}} \frac{q}{r^{2}} = 100 r$

$\Rightarrow 9 \times 10^{9} \frac{q}{9 \times 10^{- 4}} = 100 \times 3 \times 10^{- 2}$

$\Rightarrow q = 3 \times 10^{- 13} C$ Options a, b, c correct

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