Question regarding a double slit experiment

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SUMMARY

The discussion centers on a double slit experiment involving a transparent paper with a refractive index of 1.45 and thickness of 0.02mm, affecting the interference pattern of monochromatic light with a wavelength of 620nm. The key equation provided is Yo = β/λ(n-1)t, where n is the refractive index, t is the thickness, and λ is the wavelength. Participants seek clarification on the terms β (fringe width) and Yo, which is likely related to the intensity distribution. The objective is to determine how many fringes will cross the center upon removal of the paper.

PREREQUISITES
  • Understanding of the double slit experiment and interference patterns.
  • Familiarity with the concept of refractive index and its impact on light.
  • Knowledge of wave optics, specifically fringe width calculations.
  • Basic proficiency in using equations related to optical phenomena.
NEXT STEPS
  • Calculate fringe width (β) in a double slit experiment.
  • Explore the effects of different refractive indices on interference patterns.
  • Learn about the significance of the term Yo in optical equations.
  • Investigate the impact of thickness on light interference and fringe visibility.
USEFUL FOR

Students studying wave optics, physics educators, and anyone interested in the principles of interference and the double slit experiment.

Dongorgon
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Homework Statement



The question is as follows, I'm truly stuck where to start here, any help would be much appreciated:

A transparent paper of refractive index 1.45 and thickness 0.02mm is pasted on one of the slits of a double slit experiment. Monochromatic light of wavelength 620nm is passed through the slits. How many fringes will cross through the centre if the paper is removed?

Homework Equations



I have been provided with one equation for this, which is as follows:

Yo=β/λ(n-1)t

Where n is the refractive index and t is the thickness.



The Attempt at a Solution



Truly stuck where to even begin I'm sorry to say.
 
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Dongorgon said:

Homework Statement



The question is as follows, I'm truly stuck where to start here, any help would be much appreciated:

A transparent paper of refractive index 1.45 and thickness 0.02mm is pasted on one of the slits of a double slit experiment. Monochromatic light of wavelength 620nm is passed through the slits. How many fringes will cross through the centre if the paper is removed?

Homework Equations



I have been provided with one equation for this, which is as follows:

Yo=β/λ(n-1)t

Where n is the refractive index and t is the thickness.

The Attempt at a Solution



Truly stuck where to even begin I'm sorry to say.
What are β and Yo in this equation? (I take it that λ is wavelength.)
 
From what I am aware, β is the fringe width and I'm truly not sure what Yo even is, possibly the width of intensity?
 

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