Final answer:
The ratio of the change in length of a human anterior cruciate ligament (ACL) to the change in length of a steel rod is determined by Hooke's law and is equal to the ratio of their cross-sectional areas. the correct answer is a) 0.05.
Step-by-step explanation:
The ratio of the change in length of a human anterior cruciate ligament (ACL) to the change in length of a steel rod, both subjected to the same stretching force and having the same cross-sectional area, is determined by Hooke's law. According to Hooke's law, the change in length (AL) is proportional to the force (F) and inversely proportional to the cross-sectional area (A) of the material. Therefore, the ratio of the change in length of the ACL to the change in length of the steel rod is equal to the ratio of their cross-sectional areas.
Since the cross-sectional areas of the ACL and the steel rod are the same, the ratio of their change in length is 1. So, the correct answer is a) 0.05.