$A$ nichrome wire $50 \text{ cm}$ long and $1 \text{ mm}^2$ cross-section carries a current of $4 \text{ A}$ when connected to a $2 \text{ V}$ battery. The resistivity of the nichrome wire in $\Omega \cdot \text{m}$ is:
- A$1 \times 10^{-6}$
- B$4 \times 10^{-7}$
- C$3 \times 10^{-7}$
- D$2 \times 10^{-7}$
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