An infinitely long pin fin, attached to an isothermal hot surface, transfers heat at a steady rate of \( \dot{Q}_1 \) to the ambient air. If the thermal conductivity of the fin material is doubled, while keeping everything else constant, the rate of steady-state heat transfer from the fin becomes \( \dot{Q}_2 \). The ratio \( \dot{Q}_2 / \dot{Q}_1 \) is