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Mobilities of electrons and holes in a sample of intrinsic germanium at room temperature are 0.36 m2/Vs and 0.17 m2/Vs. The electron and hole densities are each equal to 2.5×1019m−3. Electrical conductivity of Germanium is

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a

0.47sm−1

b

5.185sm−1

c

2.12sm−1

d

1.09sm−1

answer is C.

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Detailed Solution

μe=0.36 m2/Vsμh=0.17 m2/Vsne=nh=2.5×1019 m−3σ=?Conductivity , σ=neeμe+nheμh⇒σ=e(neμe+nhμh)⇒σ=1.6×10−19(2.5×1019×0.36+2.5×1019×0.17)⇒σ=1.6×10−19×2.5×1019(0.36+0.17)⇒σ=1.6×2.5(0.53)⇒σ=2.12

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