3. A lithium nucleus has 4 spin states: m = -3/2, -l/2, 1/2, 3/2. In a lab with magnetic eld H, E = -mpH, and p = 1.03x10A-7 eV/T. (a) If H = 7 T, and T = 3 K, calculate the probability of a Li nucleus being in each of its 4 states. (b) If the direction of H is suddenly reversed, what is the temperature of the system? (c) If it is on a white dwarf where H = 100 T, what is the energy difference between the 2 states of its electronic spin? Note, Li has only one electron in its outer shell and it has no orbital angular momentum. So it is spin-only with s = 1/2. The magnetic moment p from an electron is about 1800 time greater than its nuclear moment