Michelson Interferometer with a lens

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The discussion revolves around a homework question related to the Michelson Interferometer and the confusion surrounding it. A user requests a solution manual, but others emphasize the importance of working through the problem independently to enhance understanding. Suggestions include creating sketches to clarify the setup and writing down relevant equations with clear definitions of symbols. Participants encourage checking the consistency between the work done and the problem statement, particularly regarding fringe patterns. Engaging with the material directly is deemed essential for effective learning.
zefanya
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Homework Statement
This Michelson interferometer is based on a laser with a wavelength of 513 nm. The laser beam first passes though a negative lens with f = -20 mm and then through a positive lens with f = 200 mm. The distance between the lenses is 160 mm. The optical path length from the last lens to the end screen is for the first arm 1200 mm and for the second 1210 mm. How many interference fringes are visible with a radius of 80 mm?
Relevant Equations
2d = mλ
2 d = (m + 1/2)λ
Hello everyone, i have a homework but I'm so confused how to solved it , can someone make a solution manual for this homework?, Thankyou.
 
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Hello @zefanya ,
:welcome: ##\qquad ## !

with a radius of 80 mm
'with' ? or 'within'? Makes a difference !
zefanya said:
solution manual for this homework
That would only rob you of the exercise, so it is utterly unproductive. Just work your way through:
  • Start with some sketches to clarify the setup
  • Jotting down equations is one thing. Clarify what the symbols stand for and where they fit in the drawing
  • Check if your work and the problem statement agree. Fringes ?
##\ ##
 
I want to find the solution to the integral ##\theta = \int_0^{\theta}\frac{du}{\sqrt{(c-u^2 +2u^3)}}## I can see that ##\frac{d^2u}{d\theta^2} = A +Bu+Cu^2## is a Weierstrass elliptic function, which can be generated from ##\Large(\normalsize\frac{du}{d\theta}\Large)\normalsize^2 = c-u^2 +2u^3## (A = 0, B=-1, C=3) So does this make my integral an elliptic integral? I haven't been able to find a table of integrals anywhere which contains an integral of this form so I'm a bit stuck. TerryW

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