Physics

Problem

A steel rod is

40.00\,\text{cm}

long and a brass tube is

40.05\,\text{cm}

long at

20^{\circ}\text{C}

. The coefficient of linear expansion for steel is

1.2\times10^{-5}\,\text{K}^{-1}

and for brass is

2.0\times10^{-5}\,\text{K}^{-1}

. At what common temperature will the rod just fill the tube end-to-end?