A) \[{{v}_{d}}\propto \sqrt{E}\]
B) \[{{v}_{d}}\propto {{E}^{2}}\]
C) \[{{v}_{d}}\propto E\]
D) \[{{v}_{d}}\propto \frac{1}{E}\]
Correct Answer: C
Solution :
We have\[l=ne\,A{{v}_{d}}\] and \[l=\frac{V}{R}\] \[\therefore \] \[\frac{V}{R}=ne\,A{{v}_{d}}\] or \[V=ne\,A{{v}_{d}}.R\] \[=neA\,{{v}_{d}}\left( \rho \frac{l}{A} \right)\] \[\therefore \] \[\frac{V}{l}=E=ne\rho /{{v}_{d}}\] \[\Rightarrow \] \[E\propto {{v}_{d}}\]
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