Which material has the greatest Young's Modulus?

  • #1
songoku
2,294
325
Homework Statement
Please see below
Relevant Equations
Young Modulus = stress / strain
1695226104886.png


My answer is (B) since it has the highest slope for the straight line part of the graph but the answer key is (A). Is it because the slope of graph B will decrease until the value less than slope A? So we don't only consider the straight line part but the whole graph?

Thanks
 
Physics news on Phys.org
  • #2
songoku said:
Homework Statement: Please see below
Relevant Equations: Young Modulus = stress / strain

View attachment 332269

My answer is (B) since it has the highest slope for the straight line part of the graph but the answer key is (A). Is it because the slope of graph B will decrease until the value less than slope A? So we don't only consider the straight line part but the whole graph?

Thanks
According to https://en.wikipedia.org/wiki/Young's_modulus, it is the slope of the elastic portion (the linear part at the start) of the curve. That makes B correct.
 
  • Like
Likes erobz and songoku
  • #3
Thank you very much haruspex
 

1. What is Young's Modulus?

Young's Modulus, also known as the elastic modulus or modulus of elasticity, is a measure of the stiffness of a material. It represents the ratio of stress to strain in a material under tensile or compressive forces.

2. How is Young's Modulus calculated?

Young's Modulus is calculated by dividing the stress (force per unit area) applied to a material by the strain (change in length per unit length) of the material. This calculation is typically done in a controlled laboratory setting using specialized equipment.

3. Which materials have the greatest Young's Modulus?

The materials with the greatest Young's Modulus are typically metals and ceramics, such as steel, titanium, and tungsten. These materials have strong atomic bonds and are able to withstand high levels of stress without significant deformation.

4. How does Young's Modulus affect a material's properties?

The higher the Young's Modulus of a material, the stiffer and more rigid it is. This means that it will be less likely to deform under stress and will have a higher resistance to external forces. However, a high Young's Modulus can also make a material more brittle and prone to fracture.

5. Can Young's Modulus change?

Yes, Young's Modulus can change depending on various factors such as temperature, strain rate, and microstructure of the material. For example, at higher temperatures, materials tend to have a lower Young's Modulus due to increased molecular motion and decreased stiffness. Additionally, different manufacturing processes can also affect the Young's Modulus of a material.

Similar threads

  • Introductory Physics Homework Help
Replies
1
Views
266
  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
30
Views
1K
Replies
23
Views
3K
Replies
39
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
2K
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
3K
Replies
1
Views
1K
  • General Math
Replies
5
Views
2K
Back
Top