A rod of length LA is made from material A and is placed next to a rod of length LB, made from material B. The rods remain in thermal equilibrium with each other. a) Show that even though the lengths of each rod will change in the ambient temperature, the difference between the two lengths will remain constant if the lengths LA and LB are chosen such that A a A.B are the coefficients of linear expansion. b) If material B is steel, material A is brass, and LA = 250 cm at 0°C, what is the value of LB? = aB where

A rod of length LA is made from material A and is placed next to a rod of length LB, made from material B. The rods remain in thermal equilibrium with each other. a) Show that even though the lengths of each rod will change in the ambient temperature, the difference between the two lengths will remain constant if the lengths LA and LB are chosen such that A a A.B are the coefficients of linear expansion. b) If material B is steel, material A is brass, and LA = 250 cm at 0°C, what is the value of LB? = aB where