Which of the following is a unit of mobility ?

Options

A. `m^(2) V^(-1) S^(-1)`
B. `m^(2) Omega^(-1) C^(-1)`
C. `CS kg^(-1)`
D. `m^(2) Omega C^(-1)`

Answer

D

Explanation

`m^(2) Omega C^(-1)`
From ` mu = (v_(d))/(E) , " unit " (ms^(-1))/(Vm^(-1)) = m^(2) V^(-1) s^(-1)`
From `mu = (sigma)/("ne"), " unit " = (ʊ)/(m m^(-3) C) = m^(2)ʊ C^(-1)`
`" " m^(2) ʊ C^(-1)`
`mu = (sigma)/("ne") = ("ne"^(2) tau)/("mne") = ( e tau)/(m) = (Cs)/(kg) [ because (m)/("ne"^(2) tau) therefore sigma = ("ne"^(2) tau)/(m) ]`
`therefore m^(2) Omega C^(-1) ` is not a unit of mobility.