What is the conductivity of a semiconductor sample having electron concentration of `5 xx 10^(18) m^(-3)` hole concentration of `5 xx 10^(19) m^(-3)`, electron mobility of `2.0 m^(2) V^(-1) s^(-1)` and hole mobility of `0.01 m^(2) V^(-1) s^(-1)?`
(Take charge of electron as `1.6 xx 10^(-19)C)`

Options

A. `1.68 (Omega-m)^(-1)`
B. `1.83(Omega-m)^(-1)`
C. `0.59 (Omega-m)^(-1)`
D. `1.20(Omega-m)^(-1)`

Answer

A

Explanation

The conductivity of semicondutor
`sigma = e(eta_emu_e + eta_hmu_h)`
`= 1.6 xx 10^(-19) (5 xx 10^18 xx 2 + 5 xx 10^9 xx 0.01)`
`= 1.6 xx 1.05 = 1.68`