Physics, asked by IBRAHIM4558, 11 months ago

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

Answered by abhi178
6

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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Answered by Anonymous
3

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

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