Question

The strain-stress plot for materials A, B, C and D is shown in the figure. Which material has the largest Young's modulus? 

• A. A
• B. C
• C. B
• D. D

Hint:

Always look at the axes! In a Stress-Strain graph, steeper is stronger. In a Strain-Stress graph, flatter is stronger.

Answer 1

The Correct Option is A

The Young's modulus of a material is defined as the ratio of stress to strain in the linear portion of the stress-strain curve. It is represented by the formula:

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

On a stress-strain graph, Young's modulus is the slope of the line. A steeper slope indicates a higher Young's modulus.

Given the stress-strain plot for materials A, B, C, and D in the included image, let's analyze the slopes:

1. Material A has the steepest slope among the four materials.
2. Material B, D, and C have progressively shallower slopes.
3. The steepest slope indicates the highest ratio of stress to strain.

Therefore, Material A, having the steepest slope, possesses the largest Young's modulus. The correct answer is Option A.