What is the wavelength of the light in the interposed material?

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SUMMARY

The discussion centers on calculating the change in optical path length in a Michelson interferometer when a parallel-sided object with a refractive index of 1.4900 is introduced. The interferometer operates with monochromatic light of wavelength 589 nm in a vacuum. The key equation to determine the change in optical path length is based on the refractive index and the physical length of the object placed in the interferometer. The optical path length change can be calculated using the formula: ΔOPL = (n - 1) * d, where n is the refractive index and d is the length of the object.

PREREQUISITES
  • Understanding of Michelson interferometer principles
  • Knowledge of optical path length calculations
  • Familiarity with refractive index concepts
  • Basic knowledge of wavelength and frequency relationships
NEXT STEPS
  • Study the derivation of the optical path length formula in interferometry
  • Learn about the effects of different refractive indices on light propagation
  • Explore the relationship between wavelength, frequency, and speed of light
  • Investigate practical applications of Michelson interferometers in measuring refractive indices
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Students and educators in physics, optical engineers, and anyone interested in understanding the principles of interferometry and optical measurements.

RWalker1987
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Homework Statement


A Michelson interferometer is operated in a vacuum, using monochromatic
light of wavelength 589 nm. The interferometer is set up so that the distances
between the moving mirror and the beam splitter and the fixed mirror and the
beam splitter are equal. A parallel-sided object 1.2 cm in length and refractive
index 1.4900 is then placed between the fixed mirror and the beam splitter.

What is the change in the optical path length of the fixed arm that results?

Homework Equations



this is were I'm stuck, I don't know what equation to use, I have looked all over for an equation, but most use frequency

The Attempt at a Solution

 
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What is the relationship between wavelength and frequency? ;0)
 

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