Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > If the effective mass of an electron is equa...
Start Learning for Free
If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.
(Give your answer upto 3 decimal places)
- a)0.01
- b)0.03
Correct answer is between '0.01,0.03'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If the effective mass of an electron is equal to thrice the effective...
Given:
Effective mass of an electron (m*) = 3 times the effective mass of a hole (mh)
To find:
Distance of Fermi level in an intrinsic semiconductor from the center of the forbidden band at room temperature
Solution:
The Fermi level represents the energy level up to which the electrons are filled at absolute zero temperature. In an intrinsic semiconductor, the Fermi level lies halfway between the valence band and the conduction band.
Step 1: Calculate the distance between the valence band and the conduction band:
In an intrinsic semiconductor, the energy gap between the valence band (Ev) and the conduction band (Ec) is given by:
Eg = Ec - Ev
Step 2: Calculate the effective mass of an electron:
Given that the effective mass of an electron (m*) is equal to 3 times the effective mass of a hole (mh), we can write:
m* = 3 * mh
Step 3: Calculate the energy difference between the Fermi level and the center of the forbidden band:
The energy difference between the Fermi level (Ef) and the center of the forbidden band (Eg/2) can be calculated using the formula:
Ef - Eg/2 = (π^2 * h^2) / (2 * m* * L^2)
Here, h is the Planck's constant, and L is the length of the crystal.
Step 4: Substitute the given values and calculate the distance of the Fermi level:
Given that we need to find the distance of the Fermi level in eV, we can convert the obtained value from Joules to eV using the conversion factor: 1 eV = 1.6 x 10^-19 J.
Step 5: Final answer:
The obtained value for the distance of the Fermi level will be the final answer.
Effective mass of an electron (m*) = 3 times the effective mass of a hole (mh)
To find:
Distance of Fermi level in an intrinsic semiconductor from the center of the forbidden band at room temperature
Solution:
The Fermi level represents the energy level up to which the electrons are filled at absolute zero temperature. In an intrinsic semiconductor, the Fermi level lies halfway between the valence band and the conduction band.
Step 1: Calculate the distance between the valence band and the conduction band:
In an intrinsic semiconductor, the energy gap between the valence band (Ev) and the conduction band (Ec) is given by:
Eg = Ec - Ev
Step 2: Calculate the effective mass of an electron:
Given that the effective mass of an electron (m*) is equal to 3 times the effective mass of a hole (mh), we can write:
m* = 3 * mh
Step 3: Calculate the energy difference between the Fermi level and the center of the forbidden band:
The energy difference between the Fermi level (Ef) and the center of the forbidden band (Eg/2) can be calculated using the formula:
Ef - Eg/2 = (π^2 * h^2) / (2 * m* * L^2)
Here, h is the Planck's constant, and L is the length of the crystal.
Step 4: Substitute the given values and calculate the distance of the Fermi level:
Given that we need to find the distance of the Fermi level in eV, we can convert the obtained value from Joules to eV using the conversion factor: 1 eV = 1.6 x 10^-19 J.
Step 5: Final answer:
The obtained value for the distance of the Fermi level will be the final answer.
Free Test
FREE
| Start Free Test |
Community Answer
If the effective mass of an electron is equal to thrice the effective...
Formula for fermi level is:
Also we know,
= 0.0213 eV
Attention Electronics and Communication Engineering (ECE) Students!
To make sure you are not studying endlessly, EduRev has designed Electronics and Communication Engineering (ECE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electronics and Communication Engineering (ECE).
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Similar Electronics and Communication Engineering (ECE) Doubts
Top Courses for Electronics and Communication Engineering (ECE)View all
If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.(Give your answer upto 3 decimal places)a)0.01b)0.03Correct answer is between '0.01,0.03'. Can you explain this answer?
Question Description
If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.(Give your answer upto 3 decimal places)a)0.01b)0.03Correct answer is between '0.01,0.03'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.(Give your answer upto 3 decimal places)a)0.01b)0.03Correct answer is between '0.01,0.03'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.(Give your answer upto 3 decimal places)a)0.01b)0.03Correct answer is between '0.01,0.03'. Can you explain this answer?.
If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.(Give your answer upto 3 decimal places)a)0.01b)0.03Correct answer is between '0.01,0.03'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.(Give your answer upto 3 decimal places)a)0.01b)0.03Correct answer is between '0.01,0.03'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.(Give your answer upto 3 decimal places)a)0.01b)0.03Correct answer is between '0.01,0.03'. Can you explain this answer?.
Solutions for If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.(Give your answer upto 3 decimal places)a)0.01b)0.03Correct answer is between '0.01,0.03'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE).
Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.(Give your answer upto 3 decimal places)a)0.01b)0.03Correct answer is between '0.01,0.03'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.(Give your answer upto 3 decimal places)a)0.01b)0.03Correct answer is between '0.01,0.03'. Can you explain this answer?, a detailed solution for If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.(Give your answer upto 3 decimal places)a)0.01b)0.03Correct answer is between '0.01,0.03'. Can you explain this answer? has been provided alongside types of If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.(Give your answer upto 3 decimal places)a)0.01b)0.03Correct answer is between '0.01,0.03'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the effective mass of an electron is equal to thrice the effective mass of a hole , then the distance of fermi level in an intrinsic semiconductor from the centre of the forbidden band at room temperature is ____ eV.(Give your answer upto 3 decimal places)a)0.01b)0.03Correct answer is between '0.01,0.03'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
|
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
x
![]()
For Your Perfect Score in Electronics and Communication Engineering (ECE)
The Best you need at One Place
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup