The intrinsic charge carrier density in germanium crystal at 300K is 2.5 × 10¹³/cm³. If the electron density in an n-type germanium crystal at 300K be 5 × 10¹⁶/cm³, the hole density in this n-type crystal at 300K would be

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2.5 × 10¹³/cm³

0.2 × 10⁴/cm³

1.25 × 10¹⁰/cm³

5 × 10⁶/cm³

answer is C.

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Detailed Solution

$n_{e} \times n_{h} = {n_{i}}^{2} \Rightarrow n_{h} = \frac{2.5 \times 2.5 \times 10^{26}}{5 \times 10^{16}} \Rightarrow n_{h} = 1.25 \times 10^{10} / {cm}^{3}$

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