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The intrinsic carrier concentration of silicon sample at $300 \mathrm{~K}$ is $1.5 \times 10^{16} / \mathrm{m}^3$. If after doping, the number of majority carriers is $5 \times 10^{20} / \mathrm{m}^3$, the minority carrier density is

  1. $4.50 \times 10^{11} / \mathrm{m}^3$
  2. $3.33 \times 10^4 / \mathrm{m}^3$
  3. $5.00 \times 10^{20} / \mathrm{m}^3$
  4. $3.00 \times 10^{-5} / \mathrm{m}^3$
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