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copper wire of length 150 cm is heated from 30°C to 130°C. If its length gets increased by 2.55 mm, the coefficient of linear expansion of copper is
Length of copper wire = 150 cm = 1500 mm Temperature initial (Ti) = 30 Temperature Final (Tf) = 130 change in temperature = 130 - 30 = 100 change in length = 2.55 mm change in length / actual length = coefficient of linear expannsion * Change in temperature. 2.55/(1500 * 100 ) = coefficient of linear expansion. coefficient of linear expansion. = 0.000017 = 1.7 * 10 ^ -5 ---------------------------------------------------------------------------------------- Please approve !! ---------------------------------------------------------------------------------------
Length of copper wire = 150 cm = 1500 mm
Temperature initial (Ti) = 30
Temperature Final (Tf) = 130
change in temperature = 130 - 30 = 100
change in length = 2.55 mm
change in length / actual length = coefficient of linear expannsion * Change in temperature.
2.55/(1500 * 100 ) = coefficient of linear expansion.
coefficient of linear expansion. = 0.000017 = 1.7 * 10 ^ -5
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Please approve !!
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We know that the change in length of wire is, l'=lαT where l' is the change in length l is original length α is the coefficient of linear expansion and T is the change in temperature. Substituting the values, 2.55x10-3 = 0.150 x α x 100 Hence, we get α=1.5x10-4 Please Approve!!
We know that the change in length of wire is,
l'=lαT
where l' is the change in length
l is original length
α is the coefficient of linear expansion
and T is the change in temperature.
Substituting the values,
2.55x10-3 = 0.150 x α x 100
Hence, we get
α=1.5x10-4
Please Approve!!
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