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CBSE Class 12 Physics 2023 Outside Delhi Set 1 Paper

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Question : 13 of 35
Marks: +1, -0
In an extrinsic semiconductor, the number density of holes is 4×1020m34 \times 10^{20} \mathrm{m}^{-3}. If the number density of intrinsic carriers is 1.2×1015m31.2 \times 10^{15} \mathrm{m}^{3}, the number density of electrons in it is
From law of mass action,
ni2=ne×nhn_i^2 = n_e \times n_h
or, (1.2×1015)2=ne×4×1020(1.2 \times 10^{15})^2 = n_e \times 4 \times 10^{20}
or,   ne=(0.3×1.2)×1010\; n_e = (0.3 \times 1.2) \times 10^{10}
  ne=3.6×109m3\; n_e = 3.6 \times 10^9 \mathrm{m}^{-3}
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