The correct option is
B is zero
Redistribution of charges and Electric field inside the conductor:
When external electric field
→E is applied, then the free electrons of the conductor are redistributed, they are attracted by the applied electric field and hence negative and positive charges appear on the surface of the conductor as shown in the figure.
Due to the charges appearing on the surface (also called induced charges), an electric field is generated which is opposite in direction to the applied electric field. Thus, the net electric field will be the superposition of the external electric field and Electric field due to induced charge.
Enet=Eext−Einduced
Since the conductor has enough free electrons, so if
Enet is not zero, then it will exert force on the free electrons inside the conductor. And, redistribution of charges take place further, and more charges will accumulate on the surface and
Einduced will keep on increasing. This process will continue till the time
Enet becomes zero i.e.
⇒→Eext=→Einduced
So, in static situation, inside electric field will be zero always, does not depends upon external electric field, as induced charge will be in such a way so that net electric field could be zero inside the conductor.
Hence, option (a) is correct.