the michelson interferometer can be used to measure the index of refraction of a gas by placing an evacuated transparent tube in the light path along one arm of the device. fringe shifts occur as the gas is slowly added to the tube. assume that 589 nm light is used, the tube is 5.30 cm long, and 166 fringe shifts occur as the pressure of the gas in the tube increases to atmospheric pressure. what is the index of refraction of the gas? use 5 significant figures)