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

Engineering

Physics

SI Units

Forces and Types of Forces

Stress Strain and Hookes Law New

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 and diameter = 0.5 mm

Length = 100 cm and diameter = 1 mm

Length = 300 cm and diameter = 3 mm

Length = 200 cm and diameter = 2 mm

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From Hooke's law

chenge in length =enlongation = FL / YA which is proportional to L/A

or enlongation is proportional to $\frac{L}{{πD}^{2}}$ where D is diameter.

because F is same .