A metal wire with cross-sectional area $0.20\,\text{mm}^2$ is suspended vertically from a fixed point. An $84\,\text{N}$ load is then added to its lower end. The wire follows Hooke’s law and its length increases by $0.30\%$. What is the Young modulus of the metal in the wire?
- A$1.4 \times 10^5\,\text{Pa}$
- B$1.4 \times 10^8\,\text{Pa}$
- C$1.4 \times 10^9\,\text{Pa}$
- D$1.4 \times 10^{11}\,\text{Pa}$