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A steet wire of length 4.7 m and cross -...

A steet wire of length 4.7 m and cross - sectional area `3.0xx10^(-5)m^(2)` stretches by the same amount as a copper wire of length 3.5 m and cross- sectional area of `4.0xx10^(-5)m^(2)` under a given load. What is the ratio of the Young's modulus of steel to that of copper ?

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The correct Answer is:
1.8
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Knowledge Check

  • A steel wire of cross-sectional area 3.0xx10^-5m^-2 stretches by the same amount as a copper wire of cross-sectional area 4.0xx10^-5m^2 under the same load. What is the ratio of the original length of the steel wire to that of the copper wire ? Young's modulus of steel is 2.0xx10^11 Nm^-2 and that of copper is 1.0xx10^11Nm^-2 .

    A
    1:2
    B
    1:1
    C
    3:2
    D
    2:1

  • Equal increase in length occurred in two wires, one is of steel of cross sectional area 3.0 xx10^-5 m^2 and another one is of copper of cross sectional area 4.0xx10^-5m^2 , by applying equal load on them. If Young's modulus of steel and copper are 2.0xx10^11 Nm^-2 and 1.0xx10^11Nm^-2 respectively, then the ratio of their initial lengths will be

    A
    (A) 1:2
    B
    (B) 1:1
    C
    (C) 3:2
    D
    (D) 2:1

  • A wire of length L and cross-sectional area A is made of a material of Young's modulus Y. The work done in stretching the wire by an amount c is given by

    A
    `(AYx^2)/L`
    B
    `(AYx^2)/(2L)`
    C
    `(AYL^2)/x`
    D
    `(AYL^2)/(2x)`

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