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The stress verses strain graph of four metals A,B,C and D are as shown. Which of the graph represent the metal having greatest Young's modulus?

Options

  1. AGraph OD
  2. BGraph OC
  3. CGraph OB
  4. DGraph OA

Correct answer

D. Graph OA

Step-by-step solution

The Young's modulus Y of a material is defined as the ratio of stress to strain within the elastic limit, which corresponds to the slope of the stress-strain graph. Y = stress strain = ( ) where is the angle that the stress-strain line makes with the strain axis. Comparing the slopes of the given lines OA, OB, OC, and OD, the line OA makes the largest angle with the strain axis. Therefore, the slope of line OA is the greatest. Since the slope represents the Young's modulus, the metal represented by graph OA has the

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