A 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).

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The charge on the inner surface of the shell will be +3 c, and its distribution would be uniforrn.

The charge on the inner surface of the shell will be +3 C, and it can be distributed uniformly or nonuniformly.

The net charge on the outer surface of the shell will be +7 c, and its distribution would be uniform.

The net charge on the outer surface of the shell will be +7 C, and its distribution can be uniforrn or nonuniform.

answer is A, D.

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Detailed Solution

Due to induction, charges on various faces are as shown in figure. Charge on the inner surface of the shell is +3 C.

Net charge on the outer surface of the shell is -3 C + 10 C = +7 C.
Distribution of charge on the inner surface would be uniform if charge is placed at the center, otherwise nonuniform. On outer surface, charge would be always uniformly distributed as the charge on outer surface is not affected by the electric field produced by the -3 C charge placed inside the shell and the displacement of inside charges does not affect the distribution of the outer charge.

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