I have this question.
A sample of wire has a Young modulus E. A second sample of wire made
from an identical material has three times the length and half the
diameter of the first sample. What is the Young modulus of the second
sample of wire in terms of E?
The answer is E. There is no change. Why is this when the stress and strain change by different factors?
Best Answer
Young's modulus, just like density, specific heat capacity, refractive index etc, is an (intrinsic/intensive) property of the material and independent of the shape and size of the material.
In your example if you increase the length by a factor five and keep all other things equal then the extension will also increase by a factor of five.