Four wires of the same material are stretched by the same load. Which one of them will elongate most if their dimensions are as follows

Step-by-step solution

L= F L A Y Because, wires of the same material are stretched by the same load. So, F and Y will be constant. aligned L & L r² L₁ &= 100 (1 10⁻³ )² &= 100 10⁻⁶ = 100 10⁻⁶ L₂ &= 200 (3 10⁻³ )² &= 200 9 10⁻⁶ = 22.2 10⁶ L₃ &= 300 (3 10⁻³ )² &= 300 9 10⁻⁶ = 33.3 10⁶ L₄ &= 400 (4 10⁻³ )² &= 400 16 10⁻⁶ = 25 10⁶ aligned We can see that, L=100 ~cm and r=1 ~mm will elongate most.