1. What is the wavelength of an electron whose linear velocity is 181.85 m/sec?2. If all the energy is dissipated as light how many photons per second are emitted by a 366 nm uv lamp rated at a power of 150 watts (1 watt = 1 J/sec)? Would a 150 watt tungsten lamp which emits mainly visible light produce more or fewer photons per second than the 366 nm lamp?3. Calculate in hertz the broadening ?? of transitions in HCN at 25 C due to the Dopplereffect in regions of the spectrum typical of rotational transitions (10 cm71) vibrationaltransitions (1500 cm71) and electronic transitions (60 000 cm71).4. What is the value of kT in cm-1 at 300 K? What is the value of nj/ni if state j is this many cm-1 above state i? Assume both states are non-degenerate.