In one arm of a Michelson interferometer is a transparent container initially full of air, with internal length 6.76 cm in the beam direction. The container is slowly filled with a liquid, and you notice 105986 bright fringes on the photodiode at the interferometer output. If you are using laser light with wavelength 554 nm, what is the refractive index of the liquid? The refractive index of air at this wavelength can be taken as 1.0003. [Aside: you would need to have a slight tilt in the laser beam relative to the liquid surface, but this does not affect your result. ]

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Chapter3: Interference
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Problem 86AP: The movable mirror of a Michelson interferometer is attached to one end of a thin metal rod of...
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In one arm of a Michelson interferometer is a transparent container initially full of air, with internal length 6.76 cm in the beam direction. The container is slowly filled with a liquid, and you notice 105986 bright fringes on the photodiode at the interferometer output. If you are using laser light with wavelength 554 nm, what is the refractive index of the liquid? The refractive index of air at this wavelength can be taken as 1.0003. [Aside: you would need to have a slight tilt in the laser beam relative to the liquid surface, but this does not affect your result. ]

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