Excitation occurs from a ground level to an upper level. The upper level is broadened by spontaneous emission with a life time of 10 ns. a) Calculate the line width. b) Calculate the value of the normalized line profile g(v), if the wavelength of the radiation corresponds to the centre of the profile (v - Vo = 0). c) Calculate the value of the normalized line profile g(v), if the wavelength of the radiation deviates from the centre by 1.0 GHz, e.g. v-Vo = 1.0 GHz. d) Calculate the relative probability for excitation for a deviation in frequency according to c) compared to a central hit according to b). (The value of the line profile is proportional to the probability).