A wire begins with an unstretched length of $2.00\,\text{m}$. It is subjected to a stress of $1.6 \times 10^5\,\text{Pa}$, after which its length becomes $2.10\,\text{m}$. Assume the wire follows Hooke’s law. Determine the Young modulus of the wire.
- A$8.0 \times 10^3\,\text{Pa}$
- B$7.8 \times 10^4\,\text{Pa}$
- C$1.5 \times 10^5\,\text{Pa}$
- D$3.2 \times 10^6\,\text{Pa}$