Question

For the situation shown in the figure above, match the entries of Column-I with entries of Column-II

Answer 1

For hollow neutral conductor - the filed inside it is zero and net charge is zero.
For A: here $q_1$ wiil be unformly distributed iner surface such that the surface charge cancles the fied inside the conductor. The charge distribution of outer surface is non-uniform because there is present another charge $q_2$.
For B: As $q_2$ is absent so charge distribution will be distributed over both inner and outer surafces such thet the inner surface charge exactly cancels the field in the conductor and, consequently,the conductor behaves exactly like a neutral conductor.
For C: this is similar case as A.
For D: If the inside charge is displaced by small amount,
uniformity of charge distribution will break due to some extra work done by the charge $q_1$. Thus charge disributio is non-uniform over both surfaces.