A metal rod of length 50cm is heated from 40oC to 80oC. If the linear expansivity of the material is \(\alpha\), calculate the increase in length of the rod...

Answer Details

The increase in length of a metal rod due to heating can be calculated using the formula: ΔL = L₀αΔT Where ΔL is the increase in length, L₀ is the original length of the rod, α is the linear expansivity of the material, and ΔT is the change in temperature. In this question, the original length of the rod is 50cm, or 0.5m. The change in temperature is 80^oC - 40^oC = 40^oC. Therefore, the increase in length of the rod is: ΔL = (0.5m)α(40^oC) = 20αm So the correct answer is 20\(\alpha\).