Extrinsic Semiconductors
A doped silicon sample carries current mainly through holes because a trivalent impurity was added, and a technician identifies the correct impurity element.
Select the correct option:
Solution
Boron, which has three valence electrons
NCERT states that a p-type semiconductor is formed by doping tetravalent silicon with a trivalent acceptor impurity. Such an atom has only three valence electrons, so when it bonds with four neighbouring silicon atoms one bond is left incomplete, creating a hole that can accept an electron from a nearby bond. This makes holes the majority carriers, and the material conducts primarily through hole movement. Boron, with three valence electrons, is a classic trivalent acceptor and is therefore the correct choice. Phosphorus is wrong because with five valence electrons it is a pentavalent donor that produces n-type material. Antimony is likewise wrong because it too is pentavalent and donates electrons rather than creating holes. Germanium is wrong because it is tetravalent like silicon and cannot upset the carrier balance to favour holes. As stated in NCERT Class 12, Chapter 14, trivalent dopants create acceptor levels just above the valence band, and only a tiny amount of dopant, roughly one atom in a million, dramatically raises the hole concentration far above the intrinsic value. A consistency check confirms electrical neutrality, since each acceptor that captures an electron becomes a fixed negative ion balancing the mobile positive hole.
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About This Question
- Subject
- physics
- Chapter
- electronic devices
- Topic
- extrinsic semiconductors
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
Boron, which has three valence electrons
NCERT states that a p-type semiconductor is formed by doping tetravalent silicon with a trivalent acceptor impurity. Such an atom has only three valence electrons, so when it bonds with four neighbouring silicon atoms one bond is left incomplete, creating a hole that can accept an electron from a nearby bond. This makes holes the majority carriers, and the material conducts primarily through hole movement. Boron, with three valence electrons, is a classic trivalent acceptor and is therefore the correct choice. Phosphorus is wrong because with five valence electrons it is a pentavalent donor that produces n-type material. Antimony is likewise wrong because it too is pentavalent and donates electrons rather than creating holes. Germanium is wrong because it is tetravalent like silicon and cannot upset the carrier balance to favour holes. As stated in NCERT Class 12, Chapter 14, trivalent dopants create acceptor levels just above the valence band, and only a tiny amount of dopant, roughly one atom in a million, dramatically raises the hole concentration far above the intrinsic value. A consistency check confirms electrical neutrality, since each acceptor that captures an electron becomes a fixed negative ion balancing the mobile positive hole.
This medium difficulty physics question is from the chapter electronic devices, covering the topic of extrinsic semiconductors. It appeared in the 2025 exam.
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