how does free electrons drift when potential difference is appplied and how come one side of the conductor becomes positively charged and one negatively charged on applying potential difference?
In a current-carrying circuit, a charged particle is accelerated by an electric field. It also undergoes frequent collisions with the stationary ions of the wire material. These two effects result in the very slow net motion (drift) of moving charged particles in the direction of the electric force. The drift velocity describes this motion. Average drift speed for electrons is on the order of 10 -4 m/s.
polarity of the conductor depend on the emf source attached to it. Ex. a battery or a cell.