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

1. Length = 100 cm, diameter = 1 mm
2. Length = 200 cm, diameter = 2 mm
3. Length = 300 cm, diameter = 3 mm
4. Length = 50 cm, diameter = 0.5 mm

Correct answer: Length = 100 cm, diameter = 1 mm

Solution

The extension of a wire under tension is proportional to its length and inversely proportional to the square of its diameter. Wire A has the smallest diameter and a significant length, leading to the largest extension.

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