Answer: 4.5 10 9 m -3.
- A 2.25×10<sup>9</sup> m<sup>-3</sup>
- B 5×10<sup>22</sup> m<sup>-3</sup>
- C 4.5×10<sup>9</sup> m<sup>-3</sup>
- D 1.5×10<sup>16</sup> m<sup>-3</sup>
Correct answer: C. 4.5×10<sup>9</sup> m<sup>-3</sup>
Explanation: By the mass-action law n<sub>e</sub>n<sub>h</sub> = n<sub>i</sub><sup>2</sup>, so n<sub>h</sub> = (1.5 × 10<sup>16</sup>)<sup>2</sup>/(5 × 10<sup>22</sup>) = 4.5 × 10<sup>9</sup> m<sup>-3</sup>.
Conductors have overlapping bands, semiconductors have a small energy gap that can be bridged by heat or doping, and insulators have a large gap that blocks conduction.
Concept context
Band theory, p-n junction, diodes, transistors, logic gates, and integrated circuits.