Two wires, P and Q, are made from the same material and are pulled with a force that increases steadily. A graph is drawn to show how the extension of each wire varies with force. Both wires have the same original length, but their diameters are different. Determine the ratio $\frac{\text{diameter of wire Q}}{\text{diameter of wire P}}$?
- A$\frac{1}{3}$
- B$\frac{1}{\sqrt{3}}$
- C$\sqrt{3}$
- D$3$