Fringes and Phase in Optics: Solving Problem 35.61

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SUMMARY

The discussion revolves around solving problem 35.61 from a physics homework assignment, specifically related to calculating the number of fringes based on phase accumulation in a glass rod. The user successfully determined the phase gained per minute and calculated the number of fringes as 22.7 using the formula: (phase gained per minute - phase gained at T=20 degrees) / 2π. The user seeks clarification on the underlying principles that justify this calculation, emphasizing the importance of understanding the relationship between phase and fringe visibility in optics.

PREREQUISITES
  • Understanding of wave optics and interference patterns
  • Familiarity with phase shifts in optical systems
  • Knowledge of basic trigonometry and calculus for phase calculations
  • Experience with optical materials, specifically glass properties
NEXT STEPS
  • Study the concept of phase difference in wave optics
  • Learn about the relationship between phase shifts and fringe patterns in interference experiments
  • Explore the derivation of fringe visibility equations in optical setups
  • Investigate the effects of temperature on optical properties of materials
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding the principles of interference and phase in optical systems.

Niles
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Homework Statement


Hi all

Please take a look at problem 35.61 in this PDF (it is on page 5): http://physics.wustl.edu/classes/SP2009/212/homework/YF35.pdf

What I can do is to find the "extra" phase accumulated in the glass rod per minute. But I do not know how to transform this into a number of fringes?
 
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Ok, I got the answer 22.7, which is also correct. I got it by finding

(phase gained per minute) - (phase gained at T=20 degrees) / 2Pi.

But this was pure luck - I cannot see, why this gives me the correct answer.
 
Guys, I am sorry about doing this, but I really need help with this. This is such a fundamental thing that I must understand it. Can you give me a hand?
 

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