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Question

The stress strain graphs for two materials A and B are shown in figure. The graphs are drawn to the same scale. Select the correct statement.


A
Material A has greater Young's Modulus
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B
Material A is more ductile
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C
Material B is more ductile
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D
Both (a) and (b)
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Solution

The correct option is D Both (a) and (b)

Slope of stress-strain curve (tanθ) gives the value of Young's modulus for given material.
tanθ= Young's modulus (Y)
And from the graph we can clearly see,
θA>θB
tanθA>tanθB
So, material A has greater Young's modulus.
Again, P to Q length in material A is greater than P to Q length in material B. Which implies more deformation is possible in A as compared to B.
Hence, we can say A is more ductile than B.

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