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One of the beams of an interferometer, as seen in the figure below, passes through a small glass container containing a cavity D = 1.19 cm deep.

One of the beams of an interferometer, as seen in the figure below, passes through a small glass container containing a cavity D = 1.19 cm deep. When a gas is allowed to slowly fill the container, a total of 220 dark fringes are counted to move past a reference line. The light used has a wavelength of 606 nm. Calculate the index of refraction of the gas, assuming that the interferometer is in vacuum.

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