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A Copper wire of length 2.2m and a steel...

A Copper wire of length 2.2m and a steel wire of length 1.6m, both of diameter 3.0mm are connected end to end. When stretched by a load, the net elongation is found to be 0.70 mm. Obtain the load applied . Young's modulus of copper is `1.1 xx 10^(11)Nm^(-2)` and Young's modulus of steel is `2.0 xx 10^(11)Nm^(-2)`.

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AI Generated Solution

To solve the problem step by step, we need to calculate the load applied to the copper and steel wires connected end to end. ### Step 1: Gather Given Data - Length of copper wire, \( L_C = 2.2 \, \text{m} \) - Length of steel wire, \( L_S = 1.6 \, \text{m} \) - Diameter of both wires, \( d = 3.0 \, \text{mm} = 3.0 \times 10^{-3} \, \text{m} \) - Radius of the wires, \( r = \frac{d}{2} = 1.5 \, \text{mm} = 1.5 \times 10^{-3} \, \text{m} \) - Young's modulus for copper, \( Y_C = 1.1 \times 10^{11} \, \text{N/m}^2 \) ...
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Knowledge Check

  • A copper wire of length 2.4 m and a steel wire of length 1.6 m, both of diameter 3 mm, are connected end to end. When stretched by a load, the net elongation found to be 0.7 mm. The load appled is (Y_("Copper") = 1.2 xx 10^(11) N m^(-2) , Y_("steel") = 2 xx 10^(11) N m^(-2))

    A
    `1.2xx10^(2)N`
    B
    `1.8xx10^(2)N`
    C
    `2.4xx10^(2)N`
    D
    `3.2 xx 10^(2)N`
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    A
    the same stress and strain
    B
     the same stress but different strain
    C
     the same strain but different stress
    D
    different strains and stress
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