A) \[0.4\text{ }\Omega \,m\]
B) \[2\text{ }\Omega \,m\]
C) \[4\,\,\Omega \,m\]
D) \[0.2\,\,\Omega \,m\]
Correct Answer: A
Solution :
\[\mu \,\,=\,\,\frac{{{V}_{d}}}{E}\] \[I=n\,e\,A\,V{{\,}_{d}}\] \[\Rightarrow \,\,\,\,\mu \,\,\,=\,\,\frac{I}{n\,e\,A\,E}\] \[\mu \,\,\,=\,\,\frac{I\,.\,l}{n\,e\,A\,(El)}\,\,=\,\,\frac{Il}{n\,e\,A\,V}\] \[\mu \,\,\,=\,\,\frac{I\,l}{n\,e\,AI\,.\,R}\] \[\mu \,\,\,=\,\,\frac{I\,A}{n\,e\,A\rho \,l}\,\,=\,\,\frac{l}{n\,e\,\rho }\] \[\Rightarrow \,\,\rho \,\,=\,\frac{1}{ne\mu }\,\,\,=\,\,\,\frac{1}{{{10}^{19}}\times 1.6\,\,\times \,{{10}^{-19}}\,\times \,1.6}\,\] \[\Rightarrow \,\,\rho \,\,=\,\frac{1}{1.6\,\,\times \,\,1.6}\,\,\,\simeq \,\,\,0.4\,\,\Omega m\,\]
You need to login to perform this action.
You will be redirected in
3 sec
