A charge q placed inside a metal box. Another charge Q is brought near the box, but outside it. The force felt by charge q due to charge Q will be zero.
True
Whenever any amount of charge is induced on the electric field it comes swiftly to the surface of the conductor. The electric field inside becomes zero under electrostatic condition.
If you ask why? Let’s think what if the electric field inside was not zero then the free electrons inside the conductors would keep moving and the conductor won’t be in electrostatic condition. And obviously charges can’t keep moving forever; after a while they will acquire steady state and quit moving. Hence the electrostatic condition is maintained. So, the metal box acts as an electrostatic shield to the charge q. As charge Q is brought near, the free electrons on the metal box are redistributed to maintain a zero net electric field inside!