An atom in a 3d state emits a photon of wavelength 475.082 nm when it decays to a 2p state. (a) what is the energy (in electron volts) of the photon emitted in this transition? (b) use the selection rules described in section 41.4 to find the allowed transitions if the atom is now in an external magnetic field of 3.500 t. ignore the effects of the electron's spin. (c) for the case in part (b),if the energy of the 3d3d state was originally -8.5 ev with no magnetic field present, what will be the energies of the states into which it splits in the magnetic field? (d) what are the allowed wavelengths of the light emitted during transition in part (b)?