The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?
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Question

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

G1 Physics · Accepted Answer

Step 1: Extension under tension F is ΔL = FL/(AY). Step 2: Since material and applied force are the same for all four wires, ΔL ∝ L/A. Step 3: For a circular wire, A = πd²/4, so ΔL ∝ L/d². Step 4: Evaluate L/d² using the given cm and mm consistently for comparison: A: 50/(0.5)² = 200; B: 100/1² = 100; C: 200/2² = 50; D: 300/3² ≈ 33.33. Step 5: The largest value is for option A, hence it has the largest extension. Final answer: (A) length 50 cm, diameter 0.5 mm.