A steel wire has Young's modulus Y, radius r and length L. If both the radius and the length of the wire are doubled without changing the material, what happens to its Young's modulus?
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Question

A steel wire has Young's modulus Y, radius r and length L. If both the radius and the length of the wire are doubled without changing the material, what happens to its Young's modulus?

G1 Physics · Accepted Answer

Young's modulus is a material property defined by Y = longitudinal stress ÷ longitudinal strain. For a given material, Y does not depend on the dimensions of the sample, provided the material remains in the elastic regime. Therefore doubling the wire radius and length does not change Young's modulus. Correct option: C.