Column-I gives certain physical terms associated with flow of current through a metallic conductor.

Question

Column-I gives certain physical terms associated with flow of current through a metallic conductor. Column-II gives some mathematical relations involving electrical quantities. Match column-I and column-II with appropriate relations. \section*{Column-I} (A) Drift velocity\ (B) Electrical Resistivity\ (C) Relaxation Period\ (D) Current Density Column-III\ (P) $\frac{m}{n e^{2} ho}$\ (Q) $n e v_{d}$\ (R) $\frac{e E}{m} 	au$\ (S) $\frac{E}{J}$\

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(b) : The formula of drift velocity is $v_{d}=\frac{e E}{m} 	au$ Current density $J=\frac{I}{A}=\frac{n e A v_{d}}{A}=n e v_{d}$\ Resistivity is $ho=\frac{m}{n e^{2} 	au} \Rightarrow 	au=\frac{m}{n e^{2} ho}$\ Resistance is $R=\frac{V}{I}$ $$ ho \frac{l}{A}=\frac{E l}{I} \Rightarrow ho=\frac{E A}{I}=\frac{E}{J} $$ where, $E=$ electric field, $A=$ area of cross section\ $e=$ electronic charge, $n=$ number of density of electrons, $	au=$ relaxation time.\