1. The orbital angular momentum of an electron has a magnitude of 4.716 X 10- 34 kg . m2/s. What is the angular-momentum quantum number ℓ for this electron?

2. A hydrogen atom in a particular orbital angular momentum state is found to have J quantum numbers 7/2 and 9/2. What is the letter that labels the value of ℓ for the state?

3. A Kα x ray emitted from a sample has an energy of 7.46 keV. Of which element is the sample made?

4. Calculate the frequency, energy (in keV), and wavelength of the Kα x ray for the elements (a) calcium (Ca, Z = 20); (b) cobalt (Co, Z = 27); (c) cadmium (Cd, Z = 48).

5. For germanium (Ge, Z = 32), make a list of the number of electrons in each subshell (1s, 2s, 2p, . . . ). Use the allowed values of the quantum numbers along with the exclusion principle;

A hydrogen atom in a 3p state is placed in a uniform external magnetic field B. Consider the interaction of the magnetic field with the atom's orbital magnetic dipole moment. (a) What field magnitude B is required to split the 3p state into multiple levels with an energy difference of 2.71 X 10- 5 eV between adjacent levels? (b) How many levels will there be?