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The Michelson interferometer can be used to measure the index of refraction of a gas by placing an evacuated transparent tube in the light path along...

The Michelson interferometer can be used to
measure the index of refraction of a gas by
placing an evacuated transparent tube in the
light path along one arm of the device. Fringe
shifts occur as the gas is slowly added to the
tube.
In this problem one fringe shift is defined to
mean from a bright pattern to the next dark
pattern and not bright to dark and back again
to a bright, which would be two fringe shifts.
These fringe shifts occur because the wave-
length of the light changes inside the gas filled
tube.
Assume that 658 nm light is used, the tube
is 2.79 cm long, and that 119 fringe shifts
occur as the pressure of the gas in the tube
increases to atmospheric pressure.
Calculate ngas, the index of refraction of
the gas.
Your answer must be within ± 0.001%

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