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University of Wisconsin - Milwaukee

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Problem 53 Hard Difficulty

Light of wavelength 550. nm is used to calibrate a Michelson interferometer. With the use of a micrometer screw, the platform on which one mirror is mounted is moved 0.180 mm. How many fringe shifts are counted?

Answer

1.31 \times 10^{3} \text { fring shifts }

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Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

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Video Transcript

So in this problem, the wavelength of the light being used to calibrate my colts and interferometer is 515 at a meter. And if the mirror is moved by the distance Delta l equals 1.8 times 10 to the negative four meter. Then we want to find out how many fringes the mirror actually crust. Okay, so the first thing that I did here is actually I converted the nanometers to meet her. And millimeter, two meter. And remember, it is very important to keep both Lambda and Delta L in the same unit. And because otherwise, we're gonna get a result drunk. So we want to make sure when we're doing the calculation. Two units are of the same. Okay, so now we know that Lambda before distance of the mirror is going to be called Thio equivalent to one friendship, right? So I'm just gonna write this down here. Lambda by four. A mirror moved is equivalent to one French shift. So if we want to actually calculate the total number of friends is moved, then that is actually going to be cool to end. And that's gonna be called to a delta over Delta L over Lambda before and this is going to be for by Lambda Times, Delta l and this will give me four times 1.8 times 10 to the negative floor over 5 50 times. Tend to the negative nine, and this is going to give me 1.31 times turned to the three fringes.

University of Wisconsin - Milwaukee
Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Zachary M.

Hope College

Jared E.

University of Winnipeg

Meghan M.

McMaster University