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Ratio is average energy of an electron in a metal at T = 0 to the Fermi energy at T = 0 is.
Correct answer is '0.6'. Can you explain this answer?
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Ratio is average energy of an electron in a metal at T = 0 to the Ferm...
The total number of cells upto energy level
Thus, the number of cells corresponding to energy interval E and E + dE is given by
The total number of cells between energy level 0 and EF at T = 0, are equal to the total number of particles i.e.
Thus,
Efo is value of EF at T = 0.
The average kinetic energy of the particle at T = 0 is given by
The correct answer is: 0.6
Thus, the number of cells corresponding to energy interval E and E + dE is given by
The total number of cells between energy level 0 and EF at T = 0, are equal to the total number of particles i.e.
Thus,
Efo is value of EF at T = 0.
The average kinetic energy of the particle at T = 0 is given by
The correct answer is: 0.6
Most Upvoted Answer
Ratio is average energy of an electron in a metal at T = 0 to the Ferm...
Explanation:
Introduction:
In a metal, the energy of electrons is distributed according to the Fermi-Dirac distribution function. At absolute zero temperature (T = 0), the highest energy occupied by electrons is called the Fermi energy (EF). The average energy of an electron in a metal at T = 0 is given by the ratio of the average energy to the Fermi energy.
Calculation:
To calculate the ratio, we need to find the average energy and the Fermi energy at T = 0.
Step 1: Finding the Fermi Energy (EF) at T = 0:
At absolute zero temperature, all energy levels below the Fermi energy are completely filled with electrons, and all energy levels above the Fermi energy are completely empty. The Fermi energy represents the highest energy level occupied by electrons at T = 0.
Step 2: Finding the Average Energy of an Electron at T = 0:
To find the average energy of an electron at T = 0, we need to calculate the sum of all occupied energy levels and divide it by the total number of occupied energy levels.
Step 3: Calculating the Ratio:
Finally, we can calculate the ratio by dividing the average energy by the Fermi energy at T = 0.
Conclusion:
The correct answer to the given question is '0.6'. This means that the average energy of an electron in a metal at T = 0 is 0.6 times the Fermi energy at T = 0.
Introduction:
In a metal, the energy of electrons is distributed according to the Fermi-Dirac distribution function. At absolute zero temperature (T = 0), the highest energy occupied by electrons is called the Fermi energy (EF). The average energy of an electron in a metal at T = 0 is given by the ratio of the average energy to the Fermi energy.
Calculation:
To calculate the ratio, we need to find the average energy and the Fermi energy at T = 0.
Step 1: Finding the Fermi Energy (EF) at T = 0:
At absolute zero temperature, all energy levels below the Fermi energy are completely filled with electrons, and all energy levels above the Fermi energy are completely empty. The Fermi energy represents the highest energy level occupied by electrons at T = 0.
Step 2: Finding the Average Energy of an Electron at T = 0:
To find the average energy of an electron at T = 0, we need to calculate the sum of all occupied energy levels and divide it by the total number of occupied energy levels.
Step 3: Calculating the Ratio:
Finally, we can calculate the ratio by dividing the average energy by the Fermi energy at T = 0.
Conclusion:
The correct answer to the given question is '0.6'. This means that the average energy of an electron in a metal at T = 0 is 0.6 times the Fermi energy at T = 0.
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Ratio is average energy of an electron in a metal at T = 0 to the Fermi energy at T = 0 is.Correct answer is '0.6'. Can you explain this answer?
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Ratio is average energy of an electron in a metal at T = 0 to the Fermi energy at T = 0 is.Correct answer is '0.6'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Ratio is average energy of an electron in a metal at T = 0 to the Fermi energy at T = 0 is.Correct answer is '0.6'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ratio is average energy of an electron in a metal at T = 0 to the Fermi energy at T = 0 is.Correct answer is '0.6'. Can you explain this answer?.
Ratio is average energy of an electron in a metal at T = 0 to the Fermi energy at T = 0 is.Correct answer is '0.6'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Ratio is average energy of an electron in a metal at T = 0 to the Fermi energy at T = 0 is.Correct answer is '0.6'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ratio is average energy of an electron in a metal at T = 0 to the Fermi energy at T = 0 is.Correct answer is '0.6'. Can you explain this answer?.
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