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The stress versus strain graph for two m...

The stress versus strain graph for two materials A and B are shown in fig. the graph are on the same scale. ltbr. (a) Which materail has greater Young's modulus?
(b) which of the two is stronger materail?

Text Solution

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(a) From the two graphs we note that for a given strain, stress for A is more than that of B. Hence Young's modulus (=stress//strain) is greater for A than that of B.
(b) A is stronger than B. Strenght of a material is measured by the amount of stress required to cause fracture , corresponding to the point of fracture.
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Knowledge Check

  • The stress-strain graphs for two materials are shown in Fig. 7(EP).3 (assume scale).

    A
    Material (ii) is more elastic than material (i) and hence material (ii) is more brittle.
    B
    Material (i) and (ii) have the same elasticity and the same brittleness.
    C
    Material (ii) is elastic over a larger region of strain as compared to (i).
    D
    Material (ii) is more brittle than material (i).

  • The stress- strain graphs for materials A and B are as shown. Choose the correct alternative

    A
    material `A` is stronger than material `B`
    B
    material `B` is stronger than material `A`
    C
    Young's modulus of `A` is greater than that of `B`
    D
    Young's modulus of `B` is greater than that of `A`

  • The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If YA and YB are the Young's moduli of the materials then

    A
    `Y_B=2Y_A`
    B
    `Y_A=Y_B`
    C
    `Y_B=3Y_A`
    D
    `Y_A=3YB`
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