Q.

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

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a

decreases as r increases for R<r<

b

decreases as r increases for 0<r<

c

is discontinuous at r=R

d

increases as r increases for r<R

answer is A, C.

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Detailed Solution

Inside the sphere i.e. for r<R

E=14πε0QR3r Er

i.e., E at centre is Ecentre=E|r=0=0r=0

and E at surface is Esurface=E|r=R=14πε0QR2

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Outside the sphere, i.e. for r>R

E=14πε0Qr2 E1r2

Thus, variation of electric field E with distance r from the centre will be as follows.

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