Final answer:
Phosphorus (C) does not exhibit high ductility. It is a nonmetal and is generally brittle compared to metals like potassium, iridium, and vanadium, which are generally ductile.
Step-by-step explanation:
The element that does not exhibit high ductility is C. Phosphorus. Ductility is a physical property that refers to a material's ability to deform under tensile stress, which is characteristic of metals, and is associated with a material being stretched into a wire.
Potassium, iridium, and vanadium are metals, and typically metals are ductile. However, phosphorus is a nonmetal and is generally brittle and not ductile. Therefore, out of the options given, phosphorus (C) is the correct answer as the element that does not exhibit high ductility.