Answer:linear coefficient of thermal expansion of the rod =2.17 x10^-6(°C)^-1
Explanation:
The Linear thermal expansion is calculated as
ΔL = αLΔT,
where ΔL = change in length L,
ΔT = the change in temperature,
α is the coefficient of linear expansion
Change in length ΔL= 0.1 mm =0.1/1000= 0.0001m
change in temperature,ΔT= Final - Initial temperature
= (112- 20)°C=92°C
Solving, we have that
ΔL = αLΔT
α=ΔL/LΔT
= 0.0001 / 0.5 x 92
=0.0001/46
=2.17 x10^-6 / °C
The linear coefficient of thermal expansion of the rod, α =2.17 x10^-6(°C)^-1
