A manufacturer must choose between two iron-based alloys for producing very thin electrical wiring that will be subjected to repeated bending:
• Alloy X: Fe with 0.20 wt % B (boron) incorporated interstitially
• Alloy Y: Fe with 3.0 wt % Mn (manganese) substituting for Fe atoms
Both alloys can be drawn into wire of identical diameter, but they exhibit different mechanical responses during the drawing operation.
(a) Identify which alloy is expected to require the higher drawing force. Base your answer on atomic-level considerations and provide one quantitative or semiquantitative argument to support it.
(b) Predict which alloy will be more ductile in service under repeated bending. Explain your reasoning in terms of lattice strain, packing efficiency changes, and their influence on dislocation mobility.
(c) If the application demands a combination of moderate tensile strength and high electrical conductivity, evaluate which alloy better satisfies these criteria and justify your choice.