Which material has the greatest Young's Modulus?

In summary, the material with the greatest Young's Modulus is diamond, which exhibits an exceptional stiffness and resistance to deformation compared to other materials.
  • #1
songoku
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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
 
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  • #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.
 
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  • #3
Thank you very much haruspex
 

FAQ: Which material has the greatest Young's Modulus?

What is Young's Modulus?

Young's Modulus, also known as the elastic modulus, is a measure of the stiffness of a material. It is defined as the ratio of stress (force per unit area) to strain (proportional deformation) in a material in the linear elasticity regime of a uniaxial deformation.

Which material has the greatest Young's Modulus?

Among commonly known materials, diamond has the greatest Young's Modulus. Diamond's Young's Modulus is approximately 1,200 GPa (Gigapascals).

Why does diamond have such a high Young's Modulus?

Diamond has a high Young's Modulus due to its strong covalent bonding between carbon atoms in a tetrahedral structure. This rigid bonding network makes diamond extremely stiff and resistant to deformation.

Are there any synthetic materials with a high Young's Modulus?

Yes, carbon nanotubes and graphene are synthetic materials known for their exceptionally high Young's Modulus, which can be even higher than that of diamond. Graphene, for example, has a Young's Modulus of about 1,000 GPa.

How is Young's Modulus measured?

Young's Modulus is typically measured using tensile testing. A sample of the material is subjected to a controlled tensile force, and the resulting elongation is measured. The Young's Modulus is then calculated using the stress-strain relationship in the linear elastic region of the material's deformation.

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