Question

a metal rod is 1 m long at 20 degree celsius & 0.005 long at 40 degree celsius.what is the length of the rod at 60 degree celsius?​

Answer 1

The length of the rod at 60 degree Celsius is 1.010025m.

What is the coefficient of linear expansion?

It defines the material's property of expanding when temperature is increased.

The change in length related to the coefficient of linear expansion is given by

ΔL = αLΔT

where ΔT is the change in temperature, L is the original length and ΔL is the change in length.

Substitute the values from question, we get the coefficient of linear expansion as

α = ΔL /LΔT

α = (1.005-1) / 1 x(40-20)
α= 2.5 x 10⁻⁴ /°C

Length at 60°C, L' =1.005 [1 + 2.5 x 10⁻⁴x (60-40)]

L' = 1.010025 m

Thus, the length at 60°C is 1.010025 m

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