Question

Figure beside represents strain versus stress graph for four materials $A, B, C$ and $D$. Which material has maximum Young's modulus?

• A. $A$
• B. $B$
• C. $C$
• D. $D$

Hint:

Always check which quantity is on each axis. For a strain vs stress graph, smaller slope $\Rightarrow$ larger Young’s modulus.

Answer 1

The Correct Option is A

To find which material has the maximum Young's modulus from the strain-stress graph, we need to understand the relationship between stress, strain, and Young's modulus.

Young's Modulus Definition: Young's modulus \(E\) is a measure of the stiffness of a material. It is given by the formula:

\(E = \frac{\text{Stress}}{\text{Strain}}\)

In a strain versus stress graph, the slope of the linear portion of the graph gives the Young's modulus of the material.

Analysis:

1. To compare the Young's modulus of materials A, B, C, and D, we look at the initial slope of the stress-strain curve for each material.
2. The steeper the slope, the higher the Young's modulus.
3. In the given graph, Material A has the steepest initial slope compared to B, C, and D.

Conclusion: Since Material A has the highest slope in the strain versus stress graph, it has the maximum Young's modulus. Hence, the correct answer is Option \(A\).