A) \[2\times {{10}^{-7}}\Omega \,\,m\]
B) \[5\times {{10}^{-7}}\Omega \,\,m\]
C) \[4\times {{10}^{-6}}\Omega \,\,m\]
D) \[1\times {{10}^{-7}}\Omega \,\,m\]
Correct Answer: D
Solution :
Resistivity of a wire is given by \[\rho =\frac{RA}{l}\] ?(i) Here \[R=\frac{V}{l}=\frac{2}{4}=0.5\,\Omega \] \[l=50\,cm=0.50\,m\] \[A=1\,m{{m}^{2}}={{10}^{-6}}\Omega \,m\] From Eq. (i), we get \[\therefore \] \[\rho =\frac{0.5\times {{10}^{-6}}}{0.50}=1\times {{10}^{-6}}\Omega \,m\]
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