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Question

A transparent cylinder is placed in one of the arms of a Michelson interferometer and evacuated by a pump, as shown in the figure. A laser with light of wavelength λ₁ passes through the interferometer, and its arms are adjusted so that a bright fringe is seen in the detector. A certain volume of hydrogen gas is then progressive in the cylinder, changing the refractive index inside. Without process, N light-dark-light transitions without detector are counted. The laser is then exchanged for one with light of wavelength λ₂, and the cylinder begins to evacuate again. How many complete light-dark-light transitions will be seen in the detector until vacuum is re-established in the cylinder?

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