A steel wire and a brass wire are connected in series and suspended vertically, with the steel wire fixed to a point on the ceiling. The steel wire is twice the length of the brass wire and has a diameter that is half as large. A large mass is suspended from the lower end of the brass wire so that both wires undergo elastic extension. The Young modulus of steel is $2.0 \times 10^{11}\,\text{Pa}$ and the Young modulus of brass is $1.0 \times 10^{11}\,\text{Pa}$. What is the ratio of the extension of the steel to the extension of the brass?
- A2
- B4
- C8
- D16