A brass rod is 2m long at a certain temperature. What is the length for a temperature rise of 100K, if the expansivity of brass is 18 x 10-6K-1?
Question 1 Report
A brass rod is 2m long at a certain temperature. What is the length for a temperature rise of 100K, if the expansivity of brass is 18 x 10-6K-1?
Answer Details
The length of the brass rod changes with a change in temperature due to thermal expansion. The formula for linear expansion is given as:
ΔL = αLΔT
Where ΔL is the change in length, α is the coefficient of linear expansion, L is the original length of the rod, and ΔT is the change in temperature.
Substituting the given values, we get:
ΔL = (18 x 10^-6) x 2 x 100 = 0.0036m
Therefore, the new length of the brass rod is:
L + ΔL = 2m + 0.0036m = 2.0036m
Hence, the answer is 2.0036m.
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