Michelson's Interferometer Problem

In summary, the conversation is discussing a problem involving the indices of refraction in a Michelson interferometer. The equations Nm = 2L*n/λ and Na = 2L/λ are mentioned, and the logic of the interferometer is recommended to be focused on. The effects of changing the speed of one beam by putting it through a vacuum are also mentioned. The conversation ends with the solution of the problem using the equation Nm - Na = 2L*n/λ - 2L/λ and achieving a value of 1.0003 for n.
  • #1
VitaX
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Homework Statement



[PLAIN]http://img828.imageshack.us/img828/7386/physicsch3581.png

Homework Equations



Not sure

The Attempt at a Solution



the indicies of refracton are inversly related to the speeds, that is n=c/v . You find the time to go distance L in one arm t=L/v with air and the other with vacuum t=(L+dL)/c dL=(fringes)*wavelength

My substitute teacher gave us that as a hint, but I really don't see how that relates to the problem, or rather I don't see any of those equations in the section over the interferometer.

I see Nm = 2L*n/λ
Na = 2L/λ
Nm - Na = 2L*n/λ - 2L/λ

I really don't know where to begin on this problem, we never did any examples of it in class.
 
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  • #2
I recommend that you focus on the logic of the Michelson interferometer. You split a light beam and then recombine it: why does interference occur?

If you have that down, think though the effects of changing the speed of the one beam by putting it through a vacuum rather than air.

You might also look at https://www.physicsforums.com/showthread.php?t=358946", which is about a very similar problem.
 
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  • #3
Ended up using Nm - Na = 2L*n/λ - 2L/λ and solved for n. Ended up with the books value of 1.0003.
 

FAQ: Michelson's Interferometer Problem

1. What is Michelson's Interferometer Problem?

Michelson's Interferometer Problem is a thought experiment proposed by physicist Albert Michelson in 1887. It involves using an interferometer, an instrument that splits a single beam of light into two and then recombines them, to detect the motion of Earth through the hypothetical medium called the "aether".

2. Why is it called a "problem"?

It is called a "problem" because it challenges the prevailing understanding of the properties of light and the nature of the universe at the time. It also sparked further experiments and debates in the scientific community.

3. What was the outcome of the Michelson's Interferometer Experiment?

The outcome of the experiment was unexpected. It showed that there was no evidence of Earth's motion through the aether, contradicting the dominant theory at the time. This result led to the development of the theory of relativity by Albert Einstein.

4. How did the Michelson's Interferometer Problem contribute to the development of modern physics?

The unexpected outcome of the experiment challenged the existing understanding of light and space, leading to the development of the theory of relativity and the rejection of the aether theory. It also paved the way for new experiments and theories in the field of physics.

5. Are there any practical applications of the Michelson's Interferometer?

Yes, the Michelson's Interferometer is still used today in various scientific fields, such as astronomy, optics, and metrology. It is used to measure tiny changes in the wavelength of light, making it a valuable tool for precision measurements and experiments.

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