Final answer:
Wires of the same metal with different lengths and areas will not have the same deformation before reaching the elastic limit. This is because the deformation, or strain, is influenced by the stress applied, which in turn is affected by the dimensions of the wire. Therefore, the correct answer is: option b.No.
Step-by-step explanation:
The question is whether wires of the same metal with different lengths and areas have the same deformation before reaching the elastic limit. In physics, specifically the study of materials and their mechanical properties, the deformation of a material within its elastic limit is dependent on the stress applied to it. Stress is defined as the force applied per unit area, and this force results in a deformation, or strain, on the material.
According to Hooke's Law in the elastic region, the strain produced is directly proportional to the applied stress. However, since a longer wire or one with a smaller cross-sectional area would require a smaller force to reach the same stress level, these factors would indeed affect how much the wire deforms before reaching its elastic limit. Therefore, wires of different lengths and areas, even if made from the same metal, would not have the same deformation before reaching the elastic limit, as they would each respond differently to the same applied load.
As for the factors like resistivity mentioned in the reference, although they are related to the material's electrical properties and not directly to its mechanical properties such as elasticity, they highlight the importance of a material's dimensions (length and cross-sectional area) in determining its physical characteristics. To sum up, the deformation of wires before reaching their elastic limit depends on the stress and strain relationship, which in turn is affected by the wire's dimensions. Thus, the correct option here is: b. No.