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M3-06: MICHELSON INTERFEROMETER - GAS CELL 9 years 6 months ago #989

  • zzfixk21
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ID Code: M3-06
Purpose: Show that the speed of light in air is different from the speed of light in a vacuum.
Description: The gas cell is positioned in one arm of the interferometer between the beam splitter and the moveable mirror such that the surfaces of the cell are perpendicular to the laser beam. After obtaining a clear set of fringes, pump some of the air out of the cell. Measure the pressure before and after and the number of fringes passed while pumping. The refractive index of the gas varies directly with its density, and the index of refraction of a vacuum is one. Thus a graph of refractive index as a function of pressure must go through the point x=0, y=1. Determine the slope of the line by calculating the change in the refractive index: if n1 is the index at the initial pressure and n2 is the index at the final pressure, then n1-n2=mL/2d, where m is the number of fringes counted, L is the wavelength, and d is the length of the gas cell (only the gas region, not the end plates).

The photograph above is a detail of the fringe pattern. Click your mouse on the photograph to see the fringes shift as you pump the air from the gas cell. You can hear the clicks from the hand pump as it removes air from the cell. The photograph at the right above shows the gas cell installed onto the Michelson interferometer.

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