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17 April, 12:25

An aluminum rod and a nickel rod are both 5.00 m long at 20.0 degree Celsius. The temperature of each is raised to 70.0 degrees Celsius. What is the difference in length between the two rods (Unit=m) ?

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  1. 17 April, 12:44
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    0.002925 m

    Explanation:

    Lt = LO (1 + α Δt) here Lt is total length Lo is original length α is coefficient of linear expansion and Δt is change in temperature

    for aluminium

    α=25*10^-6

    Lt = 5 (1+25*10^-6 * (70-20))

    Lt = 5 (1+25*10^-6*50)

    Lt = 5 (1+0.00125)

    Lt = 5*1.00125

    Lt = 5.00625 m

    for nickel

    α=13.3*10^-6

    Lt = 5 (1+13.3*10^-6*50)

    Lt = 5 (1+0.000665)

    Lt = 5.003325 m

    hence difference in length = 5.00625-5.003325

    = 0.002925 m
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