Concept:
The principal axis is the straight line passing through the optical center and centers of curvature of a lens.
Step 1: Understand the behavior of rays through optical center.
A ray passing through the optical center of a thin lens emerges without deviation because refraction at the two surfaces effectively cancels out.
Step 2: Relate to principal axis.
A ray traveling exactly along the principal axis passes symmetrically through the lens and therefore continues in the same direction.
Step 3: Identify the nature of the ray.
Thus, such a ray is called an:
\[
\boxed{\text{undeviated ray}}
\]
Hence, the correct option is (2).