A rigid cylinder is divided into two sealed compartments, A and B, by a movable, thermally conducting piston. Compartment A contains Gas A consisting of molecules with mass \(m\), and Compartment B contains Gas B consisting of molecules with mass \(4m\). After the system reaches thermal equilibrium at temperature \(T\), what are the ratio of the average translational kinetic energy per molecule \(\dfrac{K_A}{K_B}\) and the ratio of the root-mean-square speeds \(\dfrac{v_{A,\text{rms}}}{v_{B,\text{rms}}}\) of the gas molecules?