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Question

10 C charge is given to a conducting spherical shell and a −3 C point charge is placed inside the shell. For this arrangement, find the correct statement(s).

A
The charge on the inner surface of the shell will be +3C, and it can be distributed uniformly or nonuniformly
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B
The charge on the inner surface of the shell will be +3C, and it's distributed would be uniform
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C
The net charge on the outer surface of the shell will be +7C, and it's distributed can be uniformly or nonuniform
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D
The net charge on the outer surface of the shell will be +7C, and it's distributed would be uniformly
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Solution

The correct options are
B The charge on the inner surface of the shell will be +3C, and it can be distributed uniformly or nonuniformly
C The net charge on the outer surface of the shell will be +7C, and it's distributed would be uniformly
Due to induction, charges on various faces are as shown in Fig.
Charge on the inner surface of the shell =+3C
Net charge on the outer surface of the shell =3C+10C=+7C
Distribution of charge on the inner surface would be uniform if charge is placed at the centre, otherwise non-uniform. On outer surface, charge would be always uniformly distributed as the displacement of inside charges does not effect the distribution of the outer charge.
1575537_159431_ans_2fbc86022b944ee19dcba9cb6c89d2a9.jpg

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