A copper wire has length of 2 metre at 10 degree celsius if its length is at hundred degree celsius is coefficient of linear expansion of copper is equal to 17 into 10 power minus 6 degree celsius
Answers
It is given that a copper wire has length of 2m at 10°C . we have to find the length of copper wire at 100°C where coefficient of linear expansion is 17 × 10^-6/°C
using formula, L = l(1 + α∆T)
here , l = 2m, α = 17 × 10^-6/°C , ∆T = 100°C - 10°C = 90°C
now L = 2[1 + 17 × 10^-6 × 90]
= 2[1 + 1530 × 10^-6]
= 2 [1 + 0.00153]
= 2 × 1.00153
= 2.00306 m
therefore, new length of copper wire is 2.00306 m
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Answer:
using formula, L = l(1 + α∆T)
here , l = 2m, α = 17 × 10^-6/°C , ∆T = 100°C - 10°C = 90°C
now L = 2[1 + 17 × 10^-6 × 90]
= 2[1 + 1530 × 10^-6]
= 2 [1 + 0.00153]
= 2 × 1.00153
= 2.00306 m