Physics Exam > Physics Questions > The fermi level of an intrinsic semi-conducto...
Start Learning for Free
The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :
- a)between zero and half
- b)one
- c)half
- d)zero
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The fermi level of an intrinsic semi-conductor is pinned at the centre...
According to Fermi-Dirac distribution law, the probability of an electron in finding energy level E at temperature T is given as
By (i) and (ii),
The correct answer is: half
By (i) and (ii),
The correct answer is: half
Most Upvoted Answer
The fermi level of an intrinsic semi-conductor is pinned at the centre...
According to Fermi-Dirac distribution law, the probability of an electron in finding energy level E at temperature T is given as
By (i) and (ii),
The correct answer is: half
By (i) and (ii),
The correct answer is: half
Free Test
FREE
| Start Free Test |
Community Answer
The fermi level of an intrinsic semi-conductor is pinned at the centre...
The fermi level of an intrinsic semiconductor is pinned at the center of the band-gap. The probability of occupation of the highest electronic state in the valence band at room temperature can be explained as follows:
1. Fermi Level in an Intrinsic Semiconductor:
- In an intrinsic semiconductor, the number of electrons in the conduction band is equal to the number of holes in the valence band.
- The Fermi level represents the energy level at which there is a 50% probability of occupation by an electron.
- In an intrinsic semiconductor, the Fermi level is located at the center of the band-gap due to the equal number of electrons and holes.
2. Valence Band:
- The valence band is the highest energy band that is fully occupied by electrons at absolute zero temperature (0 Kelvin).
- At room temperature, some electrons in the valence band gain enough thermal energy to move to the conduction band, creating holes in the valence band.
3. Probability of Occupation:
- At room temperature, some electrons in the valence band gain enough thermal energy to move to the conduction band, creating holes in the valence band.
- The probability of occupation of the highest electronic state in the valence band refers to the likelihood of this state being filled by an electron.
- Since the Fermi level is pinned at the center of the band-gap, the highest electronic state in the valence band is closer in energy to the Fermi level than the lowest energy state in the conduction band.
- At room temperature, the probability of occupation of the highest electronic state in the valence band is approximately half (50%) because the Fermi level is equidistant from the highest electronic state in the valence band and the lowest energy state in the conduction band.
Therefore, the correct answer is option 'C' - half, as the probability of occupation of the highest electronic state in the valence band at room temperature is approximately 50%.
1. Fermi Level in an Intrinsic Semiconductor:
- In an intrinsic semiconductor, the number of electrons in the conduction band is equal to the number of holes in the valence band.
- The Fermi level represents the energy level at which there is a 50% probability of occupation by an electron.
- In an intrinsic semiconductor, the Fermi level is located at the center of the band-gap due to the equal number of electrons and holes.
2. Valence Band:
- The valence band is the highest energy band that is fully occupied by electrons at absolute zero temperature (0 Kelvin).
- At room temperature, some electrons in the valence band gain enough thermal energy to move to the conduction band, creating holes in the valence band.
3. Probability of Occupation:
- At room temperature, some electrons in the valence band gain enough thermal energy to move to the conduction band, creating holes in the valence band.
- The probability of occupation of the highest electronic state in the valence band refers to the likelihood of this state being filled by an electron.
- Since the Fermi level is pinned at the center of the band-gap, the highest electronic state in the valence band is closer in energy to the Fermi level than the lowest energy state in the conduction band.
- At room temperature, the probability of occupation of the highest electronic state in the valence band is approximately half (50%) because the Fermi level is equidistant from the highest electronic state in the valence band and the lowest energy state in the conduction band.
Therefore, the correct answer is option 'C' - half, as the probability of occupation of the highest electronic state in the valence band at room temperature is approximately 50%.
|
Explore Courses for Physics exam
|
|
Similar Physics Doubts
The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :a)between zero and halfb)onec)halfd)zeroCorrect answer is option 'C'. Can you explain this answer?
Question Description
The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :a)between zero and halfb)onec)halfd)zeroCorrect answer is option 'C'. Can you explain this answer? for Physics 2025 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :a)between zero and halfb)onec)halfd)zeroCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :a)between zero and halfb)onec)halfd)zeroCorrect answer is option 'C'. Can you explain this answer?.
The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :a)between zero and halfb)onec)halfd)zeroCorrect answer is option 'C'. Can you explain this answer? for Physics 2025 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :a)between zero and halfb)onec)halfd)zeroCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :a)between zero and halfb)onec)halfd)zeroCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :a)between zero and halfb)onec)halfd)zeroCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :a)between zero and halfb)onec)halfd)zeroCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :a)between zero and halfb)onec)halfd)zeroCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :a)between zero and halfb)onec)halfd)zeroCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :a)between zero and halfb)onec)halfd)zeroCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The fermi level of an intrinsic semi-conductor is pinned at the centre of the band-gap. The probability of occupation of the highest electronic state in valence band at room temperature, will b e :a)between zero and halfb)onec)halfd)zeroCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Physics tests.
|
|
Explore Courses for Physics exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup