Two rods A and B are made of different materials having thermal conductivities in the ratio \(2:3\). The lengths of the rods A and B are in the ratio \(2:1\) and their volumes are in the ratio \(1:2\). In the steady state, if the temperature differences across the ends of rods A and B are respectively \(60^\circ\text{C}\) and \(\Delta\theta\), the ratio of rates of flow of heat through rods A and B is \(1:16\), then \(\Delta\theta=\)