Step 1: Understanding the Question:
This question asks to identify the most critical material property that high-speed tool steels must possess to survive the extreme temperatures generated during machining operations.
Step 2: Key Formula or Approach:
During high-speed cutting, severe friction between the cutting tool, the workpiece, and the flowing chips converts mechanical work into heat.
The cutting tip temperature can exceed \( 600^{\circ}\text{C} \).
To maintain its cutting edge, the tool material must resist softening and plastic deformation at these elevated temperatures.
Step 3: Detailed Explanation:
• Concept of Hot Hardness:
- Hot hardness (also known as red hardness) is the ability of a material to retain its mechanical hardness and strength at red-hot temperatures.
- Standard carbon steels lose their tempered martensitic structure and soften rapidly when heated above \( 200^{\circ}\text{C} \) because of carbide coarsening.
- High-Speed Steels (HSS) are alloyed heavily with strong carbide-forming elements such as Tungsten (W), Molybdenum (Mo), Chromium (Cr), and Vanadium (V).
- Upon tempering, these elements form extremely stable, nanoscale secondary alloy carbides (like \( \text{W}_2\text{C} \) or VC).
- These carbides do not coarsen easily, keeping the tool steel highly resistant to dislocation motion and softening even up to \( 600^{\circ}\text{C} \).
• Other Options: Low density and high electrical conductivity are irrelevant for cutting tool performance. High toughness is important to prevent chipping, but hot hardness is the absolute limiting factor for high-speed capabilities.
Step 4: Final Answer:
The most critical property for tool steels in high-speed machining is hot hardness (or red hardness).
Therefore, option (D) is the correct choice.