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Question

A solid insulating sphere of radius a carries a net positive charge 3Q, uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b and outer radius c and having a net charge Q, as shown in the figure. Electric field varies with distance r from the centre as 

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A
B
C
D
Hard

Solution

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Correct option is
A

For

Gauss law,



So,

For ,

from Gauss law,

For

electric field inside a conductor is zero again by using gauss law along with the fact that any free charge in a conductor is on the surface.

For

from Gauss law,

So answer - option A

Option B not correct as electric field inside the conductor should be zero

Option C not correct as Electric field cannot increase beyond point c to respect inverse square law

Option D not correct as here net charge inside GS is positive so the electric field can't be negative.

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