Question

Dimensional formula of mobility

Answer 1

Answer:

The dimensional formula of Mobility is $\left[\mathrm{M}^{-1} \mathrm{T}^{2} \mathrm{A}^{1}\right]$

Explanation:

The dimensional formula is derived from the known unit which then put equivalent to the fundamental quantities which are defined quantities.

As we know that, Mobility is a property relevant to electrons. When the electrons attains drift velocity due to application of electric field, that drift velocity per unit of electric field attained by electrons, is called as Mobility.

So, from here, we have,

Mobility = drift velocity per unit electric field  

$\text{ Mobility } =\frac{\text { Drift velocity }}{\text { Electric field }}$

$=\frac{\mathrm{v}_{\mathrm{d}}}{\mathrm{E}}$

$=\frac{\left[\mathrm{L} \mathrm{T}^{-1}\right]}{\left[\mathrm{M} \mathrm{L} \mathrm{T}^{-3} \mathrm{A}^{-1}\right]}$

$\Rightarrow \text{ Mobility } =\left[\mathrm{M}^{-1} \mathrm{T}^{2} \mathrm{A}^{1}\right]$