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 ce

Question

2 years ago

6

lsius?

1 answer:

Umnica [9.8K] · Answer 1 · 2023-02-23T12:48:42+03:00

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

<h3 /><h3>What is the coefficient of linear expansion?</h3>

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

Learn more about coefficient of linear expansion

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