Final answer:
The stress on wire B will be double the stress on wire A, since wire A's cross-sectional area is double that of wire B and both wires are stretched by the same load.
Step-by-step explanation:
The question asks us to compare the stress on two different wires when subjected to the same load. The stress experienced by a material is given by the force applied to it divided by the area of the cross-section perpendicular to the force, and is typically measured in units such as Pascals (Pa) or Newtons per square meter (N/m2). If wire A has a cross-sectional area that is double that of wire B and both wires are stretched by the same load, the stress (σ) on wire B will be twice as much as that on wire A.
To find the stress on wire B, we use the formula σ = F/A where σ is the stress, F is the force, and A is the cross-sectional area. Since wire A's area is double that of wire B, the stress on wire B can be expressed as σB = F/AB = 2 × (F/2AB) = 2 × σA, showing that the stress on wire B is double the stress on wire A, assuming wire A has half the cross-sectional area of wire B.
It's important to note that the actual numerical values depend on the magnitude of the applied load and the precise areas of the wires' cross-sections. However, without specific values being given, we can mention the correct option is that the stress on wire B will be double the stress on wire A, simply based on the ratio of their cross-sectional areas under the same load.