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In order to produce a longitudinal strai...

In order to produce a longitudinal strain of `2xx10^(-4)`, a stress of `2.4xx10^(7) Nm^(-2)` is produced in a wire. Calculate the Young's modulus of the material of the wire.

Text Solution

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The correct Answer is:
`1.2xx10^(1!) Nm^(-2)`
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Knowledge Check

  • If stress is 10^(12) times the strain produced in a wire, then its Young's modulus will be

    A
    `10^(12)` units
    B
    `10^(-12)` units
    C
    `10^(24)` units
    D
    `10^(-24)` units

  • If x is the strain produced in a wire having the Young's modulus Y, then the strain energy per unit volume is

    A
    `(1)/(2) Y x`
    B
    `Y x^(2)`
    C
    `(1)/(2) Y x^(2)`
    D
    `(x^(2))/(Y)`

  • When a wire is stretched by a force the strain produced in the wire is 2 xx 10^(-4) . If the energy stored per unit volume of the wire is 4 xx 10^(4) "joule"//m^(3) then the Young's modulus of the material of the wire will be,

    A
    `1 xx 10^(12) N//m^(2)`
    B
    `1.5 xx 10^(12) N//m^(2)`
    C
    `2 xx 10^(12) N//m^(2)`
    D
    `2.5 xx 10^(12) N//m^(2)`

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