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A steel wire of length 4.7 m and cross-s...

A steel wire of length `4.7 m` and cross-sectional area `3 xx 10^(-6) m^(2)` stretches by the same amount as a copper wire of length `3.5 m` and cross-sectional area of `4 xx 10^(-6) m^(2)` under a given load. The ratio of Young's modulus of steel to that of copper is

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To find the ratio of Young's modulus of steel to that of copper, we will use the formula for Young's modulus, which is defined as: \[ Y = \frac{\text{Stress}}{\text{Strain}} = \frac{F/A}{\Delta L/L} \] Where: - \(Y\) is Young's modulus ...
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A steel wire of length 4.7m and cross-section 3.0 xx 10^(-5) m^(2) stretched by the same amount as a copper wire of length 3.5m and cross-section 4.0 xx 10^(-5) m^(2) under a given load. What is the ratio of Young's modulus of steel to that of copper ?

A steel wire of length 4.7 m and cross-section 3.0 xx 10 ^(2) m ^(2) stretches by the same amount as a copper wire of length 3.5 m and cross-section 4.0x x 10^(2) m^(2) under a given load. What is the ratio of the Young.s modulus of steel to that of copper?

Knowledge Check

  • A steel wire of length 4.5 m and cross-sectional area 3 xx 10^(-5) m^(2) stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4 x 10^(-5) m^(2) under a given load. The ratio of the Young's modulus of steel to that of copper is

    A
    `1.3`
    B
    `1.5`
    C
    `1.7`
    D
    `1.9`

  • A wire of length L and cross-sectional area A is made of a material of Young's modulus Y. IF the wire is stretched by an amount x, the workdone is

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

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