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Semiconductor A has a higher band-gap than semiconductor B. If both A and B have the same electron and hole mobilities then
- a)A has the same number of holes as B
- b)A has larger number of holes than B
- c)A has lesser number of holes than B
- d)Any of the above statements A, B, C could be true
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Semiconductor A has a higher band-gap than semiconductor B. If both A ...
We have, intrinsic carrier concentration,
ηi∞e-Eg/2kT
And, hole concentration (by mass action law) is, p=ni2/n⇒∞e-Eg2kT
Thus, EgA>EgB
⇒pA<pB
Hence, hole concentration in semiconductor A is less than that of B.
ηi∞e-Eg/2kT
And, hole concentration (by mass action law) is, p=ni2/n⇒∞e-Eg2kT
Thus, EgA>EgB
⇒pA<pB
Hence, hole concentration in semiconductor A is less than that of B.
Most Upvoted Answer
Semiconductor A has a higher band-gap than semiconductor B. If both A ...
Band-gap and Carrier Mobility in Semiconductors
Band-gap:
The band-gap of a semiconductor is the energy difference between the valence band (where electrons are bound to atoms) and the conduction band (where electrons are free to move). It determines the energy required to promote an electron from the valence band to the conduction band.
Carrier Mobility:
Carrier mobility refers to the ability of charge carriers (electrons or holes) to move through a material in response to an electric field. It is a measure of how easily and quickly the charge carriers can move in the presence of an electric field.
Comparison:
Given that semiconductor A has a higher band-gap than semiconductor B, and both A and B have the same electron and hole mobilities, we can deduce the following:
a) A has the same number of holes as B:
The number of holes in a semiconductor is related to the number of available states in the valence band. Since both A and B have the same electron and hole mobilities, it implies that the number of available states for holes in both semiconductors is the same. Therefore, option A is not true.
b) A has a larger number of holes than B:
Since the band-gap of semiconductor A is higher than that of semiconductor B, it means that the energy required to create a hole in A is greater than in B. This implies that semiconductor A has a lower concentration of holes compared to semiconductor B. Therefore, option B is not true.
c) A has a lesser number of holes than B:
As explained in the previous point, the higher band-gap of semiconductor A leads to a lower concentration of holes compared to semiconductor B. Therefore, option C is true.
d) Any of the above statements A, B, C could be true:
This option is not true because options A and B are already eliminated based on the explanations provided above. Therefore, option D is not true.
Therefore, the correct answer is option C - A has a lesser number of holes than B, as the higher band-gap of semiconductor A results in a lower concentration of holes compared to semiconductor B.
Band-gap:
The band-gap of a semiconductor is the energy difference between the valence band (where electrons are bound to atoms) and the conduction band (where electrons are free to move). It determines the energy required to promote an electron from the valence band to the conduction band.
Carrier Mobility:
Carrier mobility refers to the ability of charge carriers (electrons or holes) to move through a material in response to an electric field. It is a measure of how easily and quickly the charge carriers can move in the presence of an electric field.
Comparison:
Given that semiconductor A has a higher band-gap than semiconductor B, and both A and B have the same electron and hole mobilities, we can deduce the following:
a) A has the same number of holes as B:
The number of holes in a semiconductor is related to the number of available states in the valence band. Since both A and B have the same electron and hole mobilities, it implies that the number of available states for holes in both semiconductors is the same. Therefore, option A is not true.
b) A has a larger number of holes than B:
Since the band-gap of semiconductor A is higher than that of semiconductor B, it means that the energy required to create a hole in A is greater than in B. This implies that semiconductor A has a lower concentration of holes compared to semiconductor B. Therefore, option B is not true.
c) A has a lesser number of holes than B:
As explained in the previous point, the higher band-gap of semiconductor A leads to a lower concentration of holes compared to semiconductor B. Therefore, option C is true.
d) Any of the above statements A, B, C could be true:
This option is not true because options A and B are already eliminated based on the explanations provided above. Therefore, option D is not true.
Therefore, the correct answer is option C - A has a lesser number of holes than B, as the higher band-gap of semiconductor A results in a lower concentration of holes compared to semiconductor B.
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Semiconductor A has a higher band-gap than semiconductor B. If both A and B have the same electron and hole mobilities thena)A has the same number of holes as Bb)A has larger number of holes than Bc)A has lesser number of holes than Bd)Any of the above statements A, B, C could be trueCorrect answer is option 'C'. Can you explain this answer?
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Semiconductor A has a higher band-gap than semiconductor B. If both A and B have the same electron and hole mobilities thena)A has the same number of holes as Bb)A has larger number of holes than Bc)A has lesser number of holes than Bd)Any of the above statements A, B, C could be trueCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Semiconductor A has a higher band-gap than semiconductor B. If both A and B have the same electron and hole mobilities thena)A has the same number of holes as Bb)A has larger number of holes than Bc)A has lesser number of holes than Bd)Any of the above statements A, B, C could be trueCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Semiconductor A has a higher band-gap than semiconductor B. If both A and B have the same electron and hole mobilities thena)A has the same number of holes as Bb)A has larger number of holes than Bc)A has lesser number of holes than Bd)Any of the above statements A, B, C could be trueCorrect answer is option 'C'. Can you explain this answer?.
Semiconductor A has a higher band-gap than semiconductor B. If both A and B have the same electron and hole mobilities thena)A has the same number of holes as Bb)A has larger number of holes than Bc)A has lesser number of holes than Bd)Any of the above statements A, B, C could be trueCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Semiconductor A has a higher band-gap than semiconductor B. If both A and B have the same electron and hole mobilities thena)A has the same number of holes as Bb)A has larger number of holes than Bc)A has lesser number of holes than Bd)Any of the above statements A, B, C could be trueCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Semiconductor A has a higher band-gap than semiconductor B. If both A and B have the same electron and hole mobilities thena)A has the same number of holes as Bb)A has larger number of holes than Bc)A has lesser number of holes than Bd)Any of the above statements A, B, C could be trueCorrect answer is option 'C'. Can you explain this answer?.
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Semiconductor A has a higher band-gap than semiconductor B. If both A and B have the same electron and hole mobilities thena)A has the same number of holes as Bb)A has larger number of holes than Bc)A has lesser number of holes than Bd)Any of the above statements A, B, C could be trueCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Semiconductor A has a higher band-gap than semiconductor B. If both A and B have the same electron and hole mobilities thena)A has the same number of holes as Bb)A has larger number of holes than Bc)A has lesser number of holes than Bd)Any of the above statements A, B, C could be trueCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Semiconductor A has a higher band-gap than semiconductor B. If both A and B have the same electron and hole mobilities thena)A has the same number of holes as Bb)A has larger number of holes than Bc)A has lesser number of holes than Bd)Any of the above statements A, B, C could be trueCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Semiconductor A has a higher band-gap than semiconductor B. If both A and B have the same electron and hole mobilities thena)A has the same number of holes as Bb)A has larger number of holes than Bc)A has lesser number of holes than Bd)Any of the above statements A, B, C could be trueCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC tests.
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