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⚛️ Physics  ·  Semiconductor Electronics  ·  NEET & JEE

In an n-type silicon sample the intrinsic concentration is 1.5 &times; 10<sup>16</sup> m<sup>-3</sup> and the electron concentration is 5 &times; 10<sup>22</sup> m<sup>-3</sup>. The hole concentration is:

Answer: 4.5 10 9 m -3.

  • A 2.25&times;10<sup>9</sup> m<sup>-3</sup>
  • B 5&times;10<sup>22</sup> m<sup>-3</sup>
  • C 4.5&times;10<sup>9</sup> m<sup>-3</sup>
  • D 1.5&times;10<sup>16</sup> m<sup>-3</sup>

Correct answer: C. 4.5&times;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 &times; 10<sup>16</sup>)<sup>2</sup>/(5 &times; 10<sup>22</sup>) = 4.5 &times; 10<sup>9</sup> m<sup>-3</sup>.

Conductorconduction bandvalence bandbands overlapSemiconductorconduction bandvalence bandsmall gap (~1 eV)Insulatorconduction bandvalence bandlarge gap(> 3 eV)

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.

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