The difference between length of a certain brass rod and that of a steel rod is claimed to be constant at all temperatures. Is this possible?

cbse
thermal-properties

#1

Yes, it is possible to describe the difference of length to remain constant. So, the change in length of each rod must be equal at all temperature. Let $L_{ b }$ and $L_{ s }$ be the length of the brass and the steel rod. Let there is change in temperature $\Delta$T. Then,

Hence, the lengths of the rods must be in the inverse ratio of the coefficient of linear expansion of their materials.