6. The dimensions of mobility of charge carriers are (a) \( \left[M^{-2} T^{2} A\right] \) (c) \( \left[M^{-2} T^{3} A\right] \) (b) \( \left[M^{-1} T^{2} A\right] \) (d) \( \left[M^{-1} T^{3} A\right] \)

Question

6. The dimensions of mobility of charge carriers are

Answer 1

\(\mu=\frac{V_d}{E}\)

\(V_d=\frac{eE}{m}t\)

\(\mu=\frac{eE}{mE}=\frac{et}{m}\)

\(=[AT][T][M]^-1=[M^{-1}T^2A]\)

Hence option (b) is correct