$A$ wire $50 \ cm$ long and $1 \ mm^2$ in cross-section carries a current of $4 \ A$ when connected to a $2 \ V$ battery. The resistivity of the wire is:
- A$4 \times 10^{-6} \ \Omega \cdot m$
- B$1 \times 10^{-6} \ \Omega \cdot m$
- C$2 \times 10^{-7} \ \Omega \cdot m$
- D$5 \times 10^{-7} \ \Omega \cdot m$
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