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A sphere of radius R carries charge dens...

A sphere of radius R carries charge density p proportional to the square of the distance from the centre such that `p = Cr^(2)`, where C is a positive constant. At a distance R`//`2 from the centre, the magnitude of the electric field is :

A

`A//(4in_(0))`

B

`AR^(3)//(40in_(0))`

C

`AR^(3)//(24in_(0))`

D

`AR^(3)//(5in_(0))`

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