An Introduction to the Theory of Optics

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Y 70] DIFFRACTION GRATINGS 139 the lengths between the marks on their upper surfaces are nearly in the ratio of 1 : 2. Let /, /' be the lengths between the marks, and M, M' the number of wave-lengths contained in the distance between the reflecting surfaces. Three marks A, B, C are made on a straight bar such that the length AB is very nearly equal to BG, A direct comparison with the comparator then gives l=AB + a, l=C+b, l' = AC+c, where a, b, c are lengths of a few microns only. From this we ...deduce 2l-l' We have also, if A be the sum measured in wave-lengths of the distances between the marks and reflecting surfaces of each of the two plates used, l=(M so that, eliminating I and /', The difference M' - 2M is measured optically in the manner already described. This completes the description of the operations necessary to determine the standard metre in terms of the wave-length.
As a result of the measurements the wave-length of the red cadmium line was found to be A = 0-64384696 cms.


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