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Mobilities of electrons and holes in a sample of intrinsic germanium semiconductor at room temperature are 0.36m2/volt-sec and 0.17 m2/volt-sec respectively. If the electron and hole densities are each equal to 2.5 X 1019/m3, the conductivity is ______.
- a)1.22 S/m
- b)3.12 S/m
- c)4.12 S/m
- d)2.12 S/m
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Mobilities of electrons and holes in a sample of intrinsic germanium s...
Given in question,
Mobilities of electrons μe = 0.36×m2V−1s−1
Mobilities of holes μh = 0.17×m2V−1s−1
densities of electron= densities of holes=2.5×1019m−3
As we know, conductivity,
σ=1/p=e(μene+μnnn)
=1.6×10−19[0.36×2.5×1019+0.17×2.5×1019)]
=2.12Sm−1
σ=1/p=e(μene+μnnn)
=1.6×10−19[0.36×2.5×1019+0.17×2.5×1019)]
=2.12Sm−1
So the electrical conductivity of germanium is 2.12Sm−1
Most Upvoted Answer
Mobilities of electrons and holes in a sample of intrinsic germanium s...
Given data:
Mobilities of electrons = 0.36 m²/Vs
Mobilities of holes = 0.17 m²/Vs
Electron density = Hole density = 2.5 × 10¹⁹/m³
Formula used:
Conductivity (σ) = q × (n × μn + p × μp)
where,
q = Charge of an electron = 1.6 × 10⁻¹⁹ C
n = Electron density
μn = Mobility of electrons
p = Hole density
μp = Mobility of holes
Calculation:
As per the above formula, conductivity can be calculated as follows:
σ = q × (n × μn + p × μp)
= 1.6 × 10⁻¹⁹ × (2.5 × 10¹⁹ × 0.36 + 2.5 × 10¹⁹ × 0.17)
= 2.12 S/m
Therefore, the conductivity of the sample of intrinsic germanium semiconductor at room temperature is 2.12 S/m, which is closest to option 'D'.
Mobilities of electrons = 0.36 m²/Vs
Mobilities of holes = 0.17 m²/Vs
Electron density = Hole density = 2.5 × 10¹⁹/m³
Formula used:
Conductivity (σ) = q × (n × μn + p × μp)
where,
q = Charge of an electron = 1.6 × 10⁻¹⁹ C
n = Electron density
μn = Mobility of electrons
p = Hole density
μp = Mobility of holes
Calculation:
As per the above formula, conductivity can be calculated as follows:
σ = q × (n × μn + p × μp)
= 1.6 × 10⁻¹⁹ × (2.5 × 10¹⁹ × 0.36 + 2.5 × 10¹⁹ × 0.17)
= 2.12 S/m
Therefore, the conductivity of the sample of intrinsic germanium semiconductor at room temperature is 2.12 S/m, which is closest to option 'D'.
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Community Answer
Mobilities of electrons and holes in a sample of intrinsic germanium s...
Given data:
Mobilities of electrons = 0.36 m²/Vs
Mobilities of holes = 0.17 m²/Vs
Electron density = Hole density = 2.5 x 10¹⁹/m³
Formula used:
Conductivity (σ) = q (electron charge) x (electron mobility x electron density + hole mobility x hole density)
Calculation:
q = 1.6 x 10⁻¹⁹ C (charge on an electron)
σ = q (electron mobility x electron density + hole mobility x hole density)
σ = 1.6 x 10⁻¹⁹ C (0.36 m²/Vs x 2.5 x 10¹⁹/m³ + 0.17 m²/Vs x 2.5 x 10¹⁹/m³)
σ = 2.12 S/m (S = Siemens, the unit of conductivity)
Therefore, the conductivity of the intrinsic germanium semiconductor is 2.12 S/m. Hence, option (d) is the correct answer.
Mobilities of electrons = 0.36 m²/Vs
Mobilities of holes = 0.17 m²/Vs
Electron density = Hole density = 2.5 x 10¹⁹/m³
Formula used:
Conductivity (σ) = q (electron charge) x (electron mobility x electron density + hole mobility x hole density)
Calculation:
q = 1.6 x 10⁻¹⁹ C (charge on an electron)
σ = q (electron mobility x electron density + hole mobility x hole density)
σ = 1.6 x 10⁻¹⁹ C (0.36 m²/Vs x 2.5 x 10¹⁹/m³ + 0.17 m²/Vs x 2.5 x 10¹⁹/m³)
σ = 2.12 S/m (S = Siemens, the unit of conductivity)
Therefore, the conductivity of the intrinsic germanium semiconductor is 2.12 S/m. Hence, option (d) is the correct answer.
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Mobilities of electrons and holes in a sample of intrinsic germanium semiconductorat room temperature are 0.36m2/volt-sec and 0.17 m2/volt-sec respectively. If the electron and hole densities are each equal to 2.5 X 1019/m3, the conductivity is ______.a)1.22 S/mb)3.12 S/mc)4.12 S/md)2.12 S/mCorrect answer is option 'D'. Can you explain this answer?
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Mobilities of electrons and holes in a sample of intrinsic germanium semiconductorat room temperature are 0.36m2/volt-sec and 0.17 m2/volt-sec respectively. If the electron and hole densities are each equal to 2.5 X 1019/m3, the conductivity is ______.a)1.22 S/mb)3.12 S/mc)4.12 S/md)2.12 S/mCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Mobilities of electrons and holes in a sample of intrinsic germanium semiconductorat room temperature are 0.36m2/volt-sec and 0.17 m2/volt-sec respectively. If the electron and hole densities are each equal to 2.5 X 1019/m3, the conductivity is ______.a)1.22 S/mb)3.12 S/mc)4.12 S/md)2.12 S/mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mobilities of electrons and holes in a sample of intrinsic germanium semiconductorat room temperature are 0.36m2/volt-sec and 0.17 m2/volt-sec respectively. If the electron and hole densities are each equal to 2.5 X 1019/m3, the conductivity is ______.a)1.22 S/mb)3.12 S/mc)4.12 S/md)2.12 S/mCorrect answer is option 'D'. Can you explain this answer?.
Mobilities of electrons and holes in a sample of intrinsic germanium semiconductorat room temperature are 0.36m2/volt-sec and 0.17 m2/volt-sec respectively. If the electron and hole densities are each equal to 2.5 X 1019/m3, the conductivity is ______.a)1.22 S/mb)3.12 S/mc)4.12 S/md)2.12 S/mCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Mobilities of electrons and holes in a sample of intrinsic germanium semiconductorat room temperature are 0.36m2/volt-sec and 0.17 m2/volt-sec respectively. If the electron and hole densities are each equal to 2.5 X 1019/m3, the conductivity is ______.a)1.22 S/mb)3.12 S/mc)4.12 S/md)2.12 S/mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mobilities of electrons and holes in a sample of intrinsic germanium semiconductorat room temperature are 0.36m2/volt-sec and 0.17 m2/volt-sec respectively. If the electron and hole densities are each equal to 2.5 X 1019/m3, the conductivity is ______.a)1.22 S/mb)3.12 S/mc)4.12 S/md)2.12 S/mCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Mobilities of electrons and holes in a sample of intrinsic germanium semiconductorat room temperature are 0.36m2/volt-sec and 0.17 m2/volt-sec respectively. If the electron and hole densities are each equal to 2.5 X 1019/m3, the conductivity is ______.a)1.22 S/mb)3.12 S/mc)4.12 S/md)2.12 S/mCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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