A metal wire follows Hooke’s law and has a Young modulus of $2.0 \times 10^{11}\,\text{Pa}$. Its initial length is $1.6\,\text{m}$ and its diameter is $0.48 \times 10^{-3}\,\text{m}$. Determine the spring constant of the wire.
- A$7.2 \times 10^3\,\text{N m}^{-1}$
- B$2.3 \times 10^4\,\text{N m}^{-1}$
- C$2.9 \times 10^4\,\text{N m}^{-1}$
- D$9.0 \times 10^4\,\text{N m}^{-1}$