Question

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).
A. The charge on the inner surface of the shell will be `+3C` and it can be distributed unifromly or non-unformly.
B. the charge on the inner surface of the shell will be `+3C` and its distribution would be uniform.
C. The net charge on outer surface of the shell will be `+7C` and its distribution can be uniform or non-uniform.
D. The net charge on outer surface of the shell will be `+7C` and its distribution would be uniform.

Answer 1

Correct Answer - A,D
Due to induction ,charge on various faces are as shown
 

charge on the inner surface of shell `=+3C`
Net charge on outer surface of shell=`-3C+10C=+7C`
Distribution of charge on inner surface would be uniform if charge is placed at the centre ,otherwise non-uniform ,On outer surface ,charge would be always unifromly distributed as displacement of inside charges does not afftect the distribution of the outer charge.