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In Michelson's interferometer the yellow...

In Michelson's interferometer the yellow sodium line composed of two wavelengths `lambda_(1) = 589.0 nm` and `lambda_(2) = 589.6nm` was used. In the process of translational displacemnet of one of the mirrors the interference pattern vanished periodically (why?). Find the displacement of the mirror between two successive appearances of the sharpest pattern.

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