Question

The dimensions of mobility of charge carriers are

• A. $M^{-2}T^2A$
• B. $M^{-1}T^2A$
• C. $M^{-2}T^3A$
• D. $M^{-1}T^3A$

Answer 1

Answer: (B)

$M^{-1}T^2A$

Answer 2

Mobility, $\mu=\frac{Drift \,Velocity\left(v_{d}\right)}{Electric \, field \left(E\right)}$ $\therefore$ $\quad$ $\left[\mu\right]=\frac{\left[v_{d}\right]}{\left[E\right]}$ $=\frac{\left[M^{0}LT^{-1}\right]}{\left[MLT^{-3} A^{-1}\right]}$ $=\left[M^{-1}T^{2}A\right]$