Question

A charged particle having drift velocity of $7.5\times {10}^{-4}{\text{ms}}^{-1}$ in an electric field of $3\times {10}^{-10}{\text{Vm}}^{-1}$ has a mobility in ${\text{m}}^2{\text{V}}^{-1}{\text{s}}^{-1}$ of?

• A. $2.5\times {10}^{-6}$
• B. $2.25\times {10}^{-15}$
• C. $2.25\times {10}^{15}$
• D. $2.5\times {10}^6$

Answer 1

The correct option is D $2.5\times {10}^6$

Given,
Drift velocity, $V_d=7.5\times {10}^{-4}{\text{ms}}^{-1}$
Electric field, $E=3\times {10}^{-10}{\text{Vm}}^{-1}$
We know that, $V_d=\mu E$ where $\mu$ is mobility.
$\Rightarrow \mu =\frac{V_d}{E}=\frac{7.5\times {10}^{-4}}{3\times {10}^{-10}}$
$\therefore \mu =2.5\times {10}^6{\text{m}}^2{\text{V}}^{-1}{\text{s}}^{-1}$