In an experiment to determine the Young modulus of a metal, a wire made from the metal with diameter $0.25\,\text{mm}$ is held in place as shown. The wire runs from a clamp, over a frictionless pulley, and then to a second frictionless pulley, where loads $F$ are attached to it. A marker is fastened to the wire so that the initial total length of wire between the clamp and the marker is $3.70\,\text{m}$. A scale is fixed close to this marker. The graph shows how the reading on the scale changes with $F$. What is the Young modulus of the metal?
- A$5.5 \times 10^{10}\,\text{Pa}$
- B$9.4 \times 10^{10}\,\text{Pa}$
- C$1.6 \times 10^{11}\,\text{Pa}$
- D$2.2 \times 10^{11}\,\text{Pa}$