A brass rod is 2 m long at a certain temperature. Calculate the linear expansion of the rod for a temperature change of 100K. (Take the linear expansivity o...
Question 1 Report
A brass rod is 2 m long at a certain temperature. Calculate the linear expansion of the rod for a temperature change of 100K. (Take the linear expansivity of brass as 1.8 x 10'5K").
Answer Details
The linear expansion of a material is given by the formula:
ΔL = αLΔT
where ΔL is the change in length, α is the linear expansivity of the material, L is the original length and ΔT is the change in temperature.
In this question, the length of the brass rod L is 2 m, the change in temperature ΔT is 100 K, and the linear expansivity α for brass is 1.8 x 10^-5 K^-1.
Substituting these values into the formula, we get:
ΔL = (1.8 x 10^-5 K^-1) x (2 m) x (100 K)
ΔL = 0.0036 m
Therefore, the linear expansion of the brass rod is 0.0036 m or 3.6 mm.
The correct option is:
- 0.0036m
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