Which material has the greatest Young's Modulus?

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The discussion centers on determining which graph represents the material with the greatest Young's Modulus. The initial conclusion was that graph B has the highest slope in its linear portion, suggesting it should be correct. However, the answer key indicates graph A is correct, leading to confusion about whether the entire graph or just the linear portion should be considered. Clarification from a source indicates that Young's Modulus is defined by the slope of the elastic portion of the curve, supporting the choice of graph B. This highlights the importance of focusing on the elastic region when calculating Young's Modulus.
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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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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Thank you very much haruspex
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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