A)when a hydrogen atom is placed in a magnetic field, into how many energy levels is the 5f energy level split? (assume for the purposes of this question that it is only the electron's orbital angular momentum that gives rise to a magnetic interaction.) b)a hydrogen atom is placed in a magnetic field and as a result, the states with ml +2 are found to be separated from the states with ml -2 by an energy difference of 7.6 x 10-4 ev. what is the value of the magnetic field strength? c)a hydrogen atom is placed in a magnetic field. according to the selection rule aml 0 or 1 how many different transitions from the 4d energy level to the 3p energy level are allowed to take place, and how many distinct emission lines would these transitions give rise to? (assume for the purposes of this question that it is only the electron? s orbital angular momentum that gives rise to a magnetic interaction.) d) the universe is filled with blackbody radiation at a temperature of 2.73 k, known as the cosmic microwave background (cmb) radiation. (i) how many cmb photons per cubic meter pervade the universe? (ii) what is the energy density of the cmb radiation? (ii) what is the radiation pressure exerted by the cmb radiation? (iv) what is the average energy of a single photon of cmb radiation? (give your answer in electron volts.)