$A$ 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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