PGRE | Michelson Interferometer Equation

In summary, the Michelson Interferometer equation can be applied to problems on the PGRE by using the equation 2d=mλ, where d represents the change in distance and m represents the number of circular fringes. The equation can be used to solve for the wavelength of light by manipulating the distance of the fixed mirror. The variable d refers to the change in distance L, or how far the movable mirror moves, and 2d represents the change in the path the light takes.
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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.
 

Related to PGRE | Michelson Interferometer Equation

1. What is the Michelson Interferometer Equation?

The Michelson Interferometer Equation is a mathematical formula that describes the interference pattern created by a Michelson interferometer, a device used to measure small changes in distance. It is given by Δl = 2d cosθ, where Δl is the change in distance, d is the distance between the two mirrors of the interferometer, and θ is the angle of the incident light.

2. How is the Michelson Interferometer Equation used in physics?

The Michelson Interferometer Equation is used in various fields of physics, such as optics, quantum mechanics, and astronomy. It is commonly used to measure small changes in distance, such as the movement of objects in space or the vibrations of materials. It is also used to study the properties of light, such as wavelength and polarization.

3. What is the significance of the cosine term in the Michelson Interferometer Equation?

The cosine term in the Michelson Interferometer Equation is significant because it takes into account the angle of the incident light. This allows for more accurate measurements as the interference pattern will change depending on the angle of the light. It also allows for the determination of the wavelength of light being used in the interferometer.

4. Can the Michelson Interferometer Equation be modified for different setups?

Yes, the Michelson Interferometer Equation can be modified for different setups by changing the values of d and θ. For example, in a Fabry-Perot interferometer, the distance between the mirrors may be much larger than in a traditional Michelson interferometer, and the angle of the incident light can also be adjusted.

5. How does the Michelson Interferometer Equation relate to the Photoelectric Effect?

The Michelson Interferometer Equation is not directly related to the Photoelectric Effect. However, it is often used in experiments to study the Photoelectric Effect as it allows for precise measurements of the wavelength and intensity of light. The results obtained from the Michelson Interferometer can then be used to analyze the properties of the material being studied in the Photoelectric Effect.

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