Q.

A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r from its centre :

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a

increases as r increases, for r < R

b

decreases as r increases, for 0 < r < 

c

decreases as r increases, for R < r < 

d

is discontinuous at r = R

answer is A.

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Detailed Solution

For a uniformly charged non-conducting sphere, with increasing distance from the centre r, the magnitude of electric field first increases linearly from zero to maximum for 0rR and then decreases according to inverse-square law for R<r<.

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A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r from its centre :