The magnitude of spin-orbit energy of an electron present in
Answer to Problem 15P
The magnitude of spin-orbit energy of an electron present in
Explanation of Solution
Consider an electron present in the
Write the expression for the magnetic moment of the electron.
Substitute
Substitute
Substitute
Here,
Write the expression for the energy.
Substitute
Substitute
Here,
The electron is present in the
Write the expression for magnetic field at the centre of current carrying loop.
Substitute
Here,
For a material, which is a simple one electron system, there exist only two possible energy states corresponding to
It means that the lower energy level which was initial aligned with the direction of magnetic field, angle between magnetic moment and magnetic field is
Therefore, the change in the energy is the sum of energy corresponding to each state.
Write the expression for the change in energy.
Here,
Conclusion:
Substitute 1 for
Substitute
Substitute 2 for
Thus, the magnitude of spin-orbit energy of an electron present in
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Chapter 9 Solutions
Modern Physics
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