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Worksheet: The Bohr Hydrogen Atom

Q1:

What is the number of possible combinations of quantum states of an electron in the 𝑛 = 5 shell?

Q2:

A 3 𝑑 electron is in an external magnetic field of 2 . 5 0 Γ— 1 0 βˆ’ 3 T.

Find the current associated with the orbital angular momentum of the electron.

  • A 3 . 9 3 Γ— 1 0 βˆ’ 7 A
  • B 3 . 4 1 Γ— 1 0 βˆ’ 7 A
  • C 5 . 1 2 Γ— 1 0 βˆ’ 7 A
  • D 4 . 4 3 Γ— 1 0 βˆ’ 7 A
  • E 5 . 7 0 Γ— 1 0 βˆ’ 7 A

Find the maximum torque on the electron.

  • A 5 . 7 0 Γ— 1 0 βˆ’ 2 6 Nβ‹…m
  • B 5 . 6 3 Γ— 1 0 βˆ’ 2 6 Nβ‹…m
  • C 5 . 5 9 Γ— 1 0 βˆ’ 2 6 Nβ‹…m
  • D 5 . 5 3 Γ— 1 0 βˆ’ 2 6 Nβ‹…m
  • E 5 . 6 7 Γ— 1 0 βˆ’ 2 6 Nβ‹…m

Q3:

What is the longest wavelength that light can have if it can ionize the hydrogen atom in its ground state?

Q4:

Find the probability that the 1s electron of a hydrogen atom is found outside the Bohr radius, 5 . 2 9 2 Γ— 1 0 βˆ’ 1 1 m from the atom’s nucleus. Give your answer to two significant figure precision.