In this problem, we are examining the behavior of free electrons in a metallic conductor when an electric field is applied. Understanding the movement of free electrons is crucial for analyzing electrical conductivity and resistance in materials.
Let's break down the options and analyze each:
Therefore, the correct option is that the free electrons in a metallic conductor under an electric field move in curved paths from lower potential to higher potential. This describes their actual behavior due to thermal motions and scattering effects.