Two wires of the same material are stretched by equal forces,but L₁ = 2L₂ and d₁ = 2d₂,where L and d are the lengths and diameters of the two wires.The ratio of the Young's modulii Y₁/Y₂ is A)1. B)2. C)4. D)½. E)¼.

Question

Quizplus · Accepted Answer

The Young's modulus (Y) is a material property that is independent of the geometry of the sample. It is defined as the ratio of stress (force per unit area) to strain (relative deformation) in the linear elasticity regime of a material. Since both wires are made of the same material and the Young's modulus is a material property, the ratio of the Young's modulii of the two wires Y₁/Y₂ is 1, regardless of their lengths and diameters.

Two Wires of the Same Material Are Stretched by Equal