Answer:
(a). The Fermi energy is
(b). The next available energy level in a 1 cm³ is
(c). The next available energy level in a 10 nm is 1.508 eV.
Explanation:
Given that,
Number of electron
(a). We need to calculate the Fermi energy in electron volts
Using formula of Fermi energy
Put the value into the formula
The Fermi energy is
(b). We need to calculate the next available energy level in a 1 cm³
n = 2
Using formula of energy
Put the value into the formula
The next available energy level in a 1 cm³ is .
(c). We need to calculate the next available energy level in a 10 nm
n = 2
Using formula of energy
Put the value into the formula
The next available energy level in a 10 nm is 1.508 eV.
Hence, This is the required solution.