Question

The intrinsic charge carrier density in germanium crystal at $300Kis2.5\times {10}^{13}/c{m}^3$. density in an n-type germanium crystal at 300 K be $5\times {10}^{16}/c{m}^3$,the hole density in this n-type crystal at 300 K would be

• A. $2.5\times {10}^{13}/c{m}^3$
• B. $5\times {10}^6/c{m}^3$
• C. $1.25\times {10}^{10}/c{m}^3$
• D. $0.2\times {10}^4/c{m}^3$

Answer 1

The correct option is C $1.25\times {10}^{10}/c{m}^3$

$\begin{array}{c}nP=n{i}^2\left[ByMassactionlaw\right]\\ n=\frac{2.5\times 2.5\times {10}^{26}}{5\times {10}^{16}}\\ n=1.25\times {10}^{10}/c{m}^3\\ Hence,\\ optionCiscorrectanswer.\end{array}$