a metal rod of length 100cm is heated through 100oC, calculate the change in length of the rod [linear expansivity of the material of the rod is 3 x 10-6K-1...
a metal rod of length 100cm is heated through 100oC, calculate the change in length of the rod [linear expansivity of the material of the rod is 3 x 10-6K-1]
Answer Details
The change in length of a material can be determined using the formula:
ΔL = LαΔT
where ΔL is the change in length, L is the original length of the material, α is the coefficient of linear expansion of the material, and ΔT is the change in temperature.
In this case, the length of the rod is 100cm, the coefficient of linear expansion is 3 x 10^-6 K^-1, and the change in temperature is 100oC.
Substituting these values into the formula, we have:
ΔL = (100cm)(3 x 10^-6 K^-1)(100oC)
ΔL = 0.3cm or 3mm
Therefore, the change in length of the rod is 3mm.
The answer is (B) 3mm.