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The Young's modulus of iron and steel a...

The Young's modulus of iron and steel are `5xx10^10N//m^2` and `2xx10^11N//m^2` respectively. An iron wire and steel wire of same length are extended by 2 mm under the same force. If the radii of iron and steel wires are `R_I` and `R_S` respectively, then what will be the relation between `R_I` and `R_S`?

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Step by step text solution for The Young's modulus of iron and steel are 5xx10^10N//m^2 and 2xx10^11N//m^2 respectively. An iron wire and steel wire of same length are extended by 2 mm under the same force. If the radii of iron and steel wires are R_I and R_S respectively, then what will be the relation between R_I and R_S? by PHYSICS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • The area of cross section of a steel wire (Y=2.0xx10^11 N//m^2) is 0.1 cm^2 . The force required to double its length will be

    A
    (A) `2xx10^12 N`
    B
    (B) `2xx10^11 N`
    C
    (C) `2xx10^10 N`
    D
    (D) `2xx10^6 N`

  • Thicknesses of two iron discs of radii r and 4r are t and (t)/(4) respectively. If their moments of inertia are I_(1) and I_(2) respectively then

    A
    `I_(2)=64I_(1)`
    B
    `I_(2)=32I_(1)`
    C
    `I_(2)=16I_(1)`
    D
    `I_(2)=I_(1)`

  • The length of a wire is 10 m and the diameter is 2 mm . If the resistivity of substance of the wire is 2 xx 10^(-6) ohm . Then the resistance of the wire is

    A
    `2xx10 ohm`
    B
    `6.4 ohm`
    C
    `5xx10^(-6) ohm`
    D
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