A gas cell of length 50 mm is placed in one arm of a Michelson interferometer, with a mercury vapour lamp providing illumination at a wavelength of 546 nm. By changing the gas cell pressure, the fringe pattern is observed to traverse 197 complete fringes. What is the change in the refractive index of the gas?

A gas cell of length 50 mm is placed in one arm of a Michelson interferometer, with a mercury vapour lamp providing illumination at a wavelength of 546 nm. By changing the gas cell pressure, the fringe pattern is observed to traverse 197 complete fringes. What is the change in the refractive index of the gas?

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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!