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JEE PHYSICS MCQ: SEMI CONDUCTOR DEVICES

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Determine the number density of donor atoms which have to be added to an intrinsic germanium semiconductor to produce an nn-type semiconductor of conductivity 5Ω−1 cm−15 \Omega^{-1} \mathrm{~cm}^{-1}, given that the mobility of electron in nn-type Ge is 3900 cm23900 \mathrm{~cm}^2 / Vs. Neglect the contribution of holes to conductivity.
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Correct option: A
8.01×1015 cm−38.01 \times 10^{15} \mathrm{~cm}^{-3}
Option A (8.01×1015 cm−38.01 \times 10^{15} \mathrm{~cm}^{-3}) is correct because the number density of donor atoms is calculated using the conductivity, electron charge, and electron mobility.

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