Worksheet: Electron Spin

In this worksheet, we will practice calculating the difference in potential energy between the spin states of electrons in an atom.

Q1:

What are the possible polar orientations of the spin momentum vector for an electron?

  • Aup 2 2 , down 1 5 8
  • Bup 3 5 , down 1 4 5
  • Cup 5 3 , down 1 2 7
  • Dup 5 5 , down 1 2 5
  • Eup 5 0 , down 1 3 0

Q2:

A hydrogen atom is placed in an external uniform magnetic field of strength 𝐵 = 2 0 0 T . Calculate the wavelength of light produced in a transition from a spin up to a spin down state of the atom.

Q3:

Which of the following is the magnitude of the spin momentum of an electron?

  • A 3 4
  • B 5 2
  • C
  • D 3 2
  • E 1 2

Q4:

A hydrogen atom is placed in an external uniform magnetic field of magnitude 800 T. Calculate the wavelength of light produced in a transition from a spin-up state to a spin-down state of an electron.

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