Question
A wire $50 \mathrm{~cm}$ long and $1 \mathrm{~mm}^{2}$ in cross-section carries a current of $4 \mathrm{~A}$ when connected to a $2 \mathrm{~V}$ battery. The resistivity of the wire is:(A) $2 \times 10^{-7} \Omega \mathrm{m}$(B) $5 \times 10^{-7} \Omega \mathrm{m}$(C) $4 \times 10^{-6} \Omega \mathrm{m}$(D) $1 \times 10^{-6} \Omega \mathrm{m}$
Step 1
The length of the wire is given as $50 \mathrm{~cm}$, which is equal to $0.5 \mathrm{~m}$. The cross-sectional area of the wire is given as $1 \mathrm{~mm}^{2}$, which is equal to $10^{-6} \mathrm{~m}^{2}$. Show more…
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