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Define young's modulus. Give the express...

Define young's modulus. Give the expression for young's modulus of elasticity.

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Young's modulus is defined as the ratio of longitudinal stress to longitudinal strain.
i.e. `Y=("longitudinal stress")/("longitudinal strain")`
For a wire under a stretching force `Y=((Fl)/(A Deltal))Nm^(-2)`
where A area of cross section and F is a stretching force acting normal to the wire.
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Knowledge Check

  • Young's modulus is defined as the ratio of

    A
    bulk stress and longitudinal strain
    B
    hydraulic stress and hydraulic strain
    C
    shearing stress and shearing strain
    D
    tensile stress and longitudinal strain

  • The mean distance between the atoms of iron is 3xx10^(-10) m and interatomic force constant for iron is 7 N/m. The Young's modulus of elasticity for iron is :

    A
    `2.33xx10^(5)" N"//"m"^(2)`
    B
    `2.33xx10^(9)" N"//"m"^(2)`
    C
    `23.3xx10^(10)" N"//"m"^(2)`
    D
    `2.33xx10^(10)" N"//"m"^(2)`.

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