
(a)
The free-electron density in gold.
(a)

Answer to Problem 31P
The free-electron density in goldis
Explanation of Solution
Given:
The density of gold is
The
Formula used:
The expression for free-electron density is given by
Here,
Calculation:
The free electron density of goldis calculated as,
Conclusion:
Therefore, the free electron density in gold is
(b)
The Fermi energy for gold.
(b)

Answer to Problem 31P
The Fermi energy for goldis
Explanation of Solution
Given:
The Fermi speed for goldis
Formula used:
The expression for Fermi energy is given by,
Here,
Calculation:
The Fermi energy for gold is calculated as,
Conclusion:
Therefore, the Fermi energy for gold is
(c)
The factor between Fermi energy and
(c)

Answer to Problem 31P
The factor between Fermi energy and
Explanation of Solution
Given:
The
Formula used:
The expression for required factor is given by,
Calculation:
The required factor is calculated as,
Conclusion:
Therefore, the factor by between Fermi energy and
(d)
The difference between Fermi energy and
(d)

Explanation of Solution
Introduction:
The difference between higher and lower energy level that is occupied by the charged particle of material at
At absolute zero, the energy available at conduction electron in a higher energy state is termed as Fermi energy. It is higher than or equal to
When the electron does not obey the exclusion principle, the energy of average conduction electrons at any temperature
Conclusion:
Therefore, the Fermi energy is always greater than or equal to
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Chapter 38 Solutions
Physics for Scientists and Engineers
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