Final answer:
To find the minimum diameter of the tungsten wire, we use the given force and stretch along with Young's modulus for tungsten. The stress experienced by the wire is calculated with the force and cross-sectional area, and strain is derived from the stretch and length of the wire, allowing us to solve for the wire's diameter.
Step-by-step explanation:
The question involves finding the minimum diameter of a tungsten wire that will stretch a certain amount under the influence of a given force. The material property of tungsten that is used in this calculation is Young's modulus, which is a measure of the stiffness of a material and is used in the formula σ = E ε, where σ is stress, E is Young's modulus, and ε is strain. The force applied causes a stretch (ΔL), which is directly related to strain (ε).
To calculate the minimum diameter, we need to apply the formula for stress σ = F/A where F is the force applied, and A is the cross-sectional area of the wire. Along with the relationship ε = ΔL/L, where ΔL is the extension and L is the original length of the wire, we can set up an equation including the known values and solve for the unknown diameter.