Which statement best describes the relationship stated in Hooke's Law?

Hooke's Law describes the behavior of springs and other elastic materials when they are deformed by an external force. Specifically, it states that the extension (or deformation) of a spring is directly proportional to the force applied to it, as long as the material remains within its elastic limit. This means that if you double the force, the amount of stretch (or extension) also doubles, maintaining a constant ratio.

In the context of this question, the correct statement highlights that as the tension force applied to a spring increases, the extension of the spring also increases proportionally. This linear relationship is a fundamental characteristic of spring behavior and is graphically represented by a straight line in a force versus extension graph within the elastic limit of the material.

The other statements do not accurately capture the essence of Hooke's Law. For example, a spring's length does not remain constant with force, as it clearly extends when a force is applied. Additionally, the tension force is influenced by the properties of the material, making it material-dependent, and every spring has a yield point where it can be permanently deformed if stretched further. Thus, the correct answer effectively summarizes the principle of proportionality that Hooke's Law applies.