PGRE | Michelson Interferometer Equation

AI Thread Summary
The discussion centers on the application of the Michelson Interferometer equation, specifically the equation 2d = mλ, in solving problems related to the Physics Graduate Record Examination (PGRE). The variable 'd' represents the distance that the movable mirror is shifted. When the fixed mirror is moved, the change in the optical path length is 2d, as the light travels to the movable mirror and back. This change results in the movement of circular fringes, denoted by 'm', which can be used to calculate the wavelength (λ) of the light being used in the experiment. Understanding the relationship between the distance moved by the mirror and the resulting fringe shift is crucial for solving related problems.
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Homework Statement


I am having trouble understanding how I would apply the Michelson Interferometer equation to a problem on the PGRE. Here is a link to a diagram displaying the interferometer as well as the equation which is very similar to the way the topic is shown in my REA pgre book.

http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/michel.html

Homework Equations


2d=mλ

The Attempt at a Solution


I just don't understand what the variable d is referring to. In the REA book, it says that if the fixed mirror on the right is moved through some distance d, then the number of circular fringes m moves in. And using the aforementioned equation, you can solve for the wavelength of the light. Can anyone explain how this works?
 
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d is the change in the distance L; it is how far the movable mirror moves.
2d is the change in the path the light takes going to the movable mirror and back.
 
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