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?

Length = 50 cm, diameter = 0.5 mm

Length = 100 cm, diameter = 1 mm

Length = 200 cm, diameter = 2 mm

Length = 300 cm, diameter = 3 mm

Solution

Length = 50 cm, diameter = 0.5 mm

space space space space increment straight L space equals space FL over AY rightwards double arrow increment straight L space proportional to space straight L over straight d squared space open square brackets because straight A equals space πd squared over 4 close square brackets

Therefore,

increment straight L

will be maximum for that wire for which L/A is maximum.

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