The Young's modulus of brass and steel are $10 \times 10^{10} \, \text{Nm}^{-2}$ and $20 \times 10^{10} \, \text{Nm}^{-2}$, respectively. A brass wire and steel wire of the same length are extended by 1 mm under the same force. If the radii of the brass and steel wires are $R_B$ and $R_S$ respectively, then