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The stress versus strain graphs for wire...


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`

Text Solution

Verified by Experts

The correct Answer is:
D
`(Stress)/(strai n)=Y=`slope of graph
`(Y_A)/(Y_B)=(tan60)/(tan30)=3`
`Y_A=3Y_B`
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Knowledge Check

  • The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If Y_(A) and Y_(B) are the younng's moduli of the materials, then

    A
    `Y_(B) = 2Y_(A)`
    B
    `Y_(A)=Y_(B)`
    C
    `Y_(B)=3Y_(A)`
    D
    `Y_(A)=3Y_(B)`

  • 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`

  • To determine Young's modulus of the material of a wire,

    A
    two wires of same length and radius are taken
    B
    Single straight wire of uniform cross section is taken
    C
    three wires of different lengths but of same material are taken
    D
    two springs of same length but different materials are taken
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