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Question: Mobilities of electrons and holes in a sample of intrinsie germanium at room temperature are \(0.54m...

Mobilities of electrons and holes in a sample of intrinsie germanium at room temperature are 0.54m2V10.54m^{2}V^{- 1} s1s^{- 1} and 0.18m2V1s10.18m^{2}V^{- 1}s^{- 1} respectively. If the electron and hole densities are equal to 3.6×1019m33.6 \times 10^{19}m^{- 3} the germanium conductivity is.

A

4.14Sm14.14Sm^{- 1}

B

2.12Sm12.12Sm^{- 1}

C

1.13Sm11.13Sm^{- 1}

D

5.6Sm15.6Sm^{- 1}

Answer

4.14Sm14.14Sm^{- 1}

Explanation

Solution

: As σ=e(neμe+nnμn)\sigma = e(n_{e}\mu_{e} + n_{n}\mu_{n})

=eni(μe+μn)= en_{i}(\mu_{e} + \mu_{n})

}{= 4.147Sm^{- 1}}$$