Wires X and Y are each made from different metals and have unlike dimensions. The Young modulus of wire X is twice the Young modulus of wire Y. Wire X has a diameter that is half the diameter of wire Y. The two wires are stretched so that they have the same strain, and both satisfy Hooke’s law. What is the ratio $\dfrac{\text{tension in wire X}}{\text{tension in wire Y}}$?
- A$\frac{1}{8}$
- B$\frac{1}{2}$
- C$1$
- D$8$