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4) Assume that we now place a small cell of length 10.0 cm in one of the interfe

ID: 2224841 • Letter: 4

Question

4) Assume that we now place a small cell of length 10.0 cm in one of the interferometer arms... The cell, which has transparent glass windows, is initially filled with air (which at standard temperature and pressure has index of refraction nair = 1.0029). Now we use a vacuum pump to remove the air in the cell (so that n = 1 exactly). Approximately how many 'fringes' of the 370.0-nm laser are detected at D1 as the cell is being evacuated (i.e., how many times does the power at the detector reach a maximum)?

Explanation / Answer

for part b) you just divide the current intensity by two. The cos will work out to .5 c) The maximum intensity will occur again when the cos is at a max which is at 2 pi. We also know: Phase/2 = (2 pi) * (dx) / wavelength where we know phase = 2 pi if we rearrange..... dx = wavelength / 2 so plug in your wavelength and make sure to report your answer in microns d) This is a nasty one and took a while. you have the two different n's. and you know the length L. Let: Na = N of air Nv = N of vacuum Take (L * Na - L * Nv) * 2 / wavelength in vacuum

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