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Question: If \(n , e , \tau\) and m respectively represent the density, charge relaxation time and mass of t...

If n,e,τn , e , \tau and m respectively represent the density, charge relaxation time and mass of the electron, then the resistance of a wire of length ll and area of cross-section will be

A

mlne2τA\frac { m l } { n e ^ { 2 } \tau A }

B

mτ2Ane2l\frac { m \tau ^ { 2 } A } { n e ^ { 2 } l }

C

ne2τA2ml\frac { n e ^ { 2 } \tau A } { 2 m l }

D

Answer

mlne2τA\frac { m l } { n e ^ { 2 } \tau A }

Explanation

Solution

R=ρlA=nne2τ⋅lAR = \rho \frac { l } { A } = \frac { n } { n e ^ { 2 } \tau } \cdot \frac { l } { A }