Coherent light with wavelength 590mm passes through two very narrow slits, and the interference pattern is observed on a screen a distance of 3.00m from the slits. The first-order bright fringe is a distance of 4.84mm from the center of the central bright fringe. For what wavelength of light will the first-order dark fringe be observed at this same point on the screen. For what wavelength of light will the first-order dark fringe be observed at this same point on the screen?
Express your answer in micrometers (not in nanometers).