Final answer:
The statement is false; for small deformations, the force and the deformation it causes are proportional, as described by Hooke's law, provided the deformation is elastic.
Step-by-step explanation:
The statement that the same amount of force results in unequal deformation is false. In the realm of physics, particularly when discussing small deformations, the force applied to an object and the deformation it experiences are generally proportional. This is famously captured by Hooke's law, which can be expressed as F = KΔL, where F is the force applied, K is a proportionality constant that varies based on the object's characteristics, and ΔL is the amount of deformation, such as changes in length, sideways bending, or volume changes. This proportionality holds true as long as the deformation is within the elastic limit of the material, meaning the object will return to its original shape once the force is removed and the deformation is elastic.