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.