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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.

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