Question about double-slit experiment

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Discussion Overview

The discussion revolves around the double-slit experiment, specifically focusing on the effects of laser intensity and wavelength on the appearance and measurement of bright fringes. Participants explore the relationship between wavelength, fringe separation, and the implications for measurement accuracy.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants propose that using a higher intensity laser increases the brightness of bright fringes due to a higher photon rate.
  • Others question the assertion that increasing the wavelength will lead to more bright fringes, asking for supporting equations and clarifications on measurement accuracy.
  • One participant suggests that as the wavelength increases, the diffraction effect enhances, causing bright fringes to span wider, potentially leading to more accurate measurements.
  • Another participant challenges the idea that more fringes equate to better measurement accuracy, seeking clarification on what is being measured and how accuracy is improved.
  • A participant later acknowledges a misunderstanding, stating that a larger wavelength actually results in fewer fringes formed, referencing the equation mλ=asinθ.
  • Following this, another participant confirms that to achieve more fringes, the wavelength must be decreased.

Areas of Agreement / Disagreement

Participants express disagreement regarding the relationship between wavelength and the number of bright fringes, with some initially asserting that more fringes result from increased wavelength, while others clarify that this is incorrect. The discussion remains unresolved on the implications of these relationships for measurement accuracy.

Contextual Notes

Participants reference mathematical relationships and concepts related to the double-slit experiment, but there are unresolved assumptions regarding the definitions of terms and the conditions under which the relationships hold true.

Jason Ko
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TL;DR
Will the fringes be brighter if I use a raser with higher intensity? And can I improve the experiment by using higher wavelength incident rays so as to observe more bright fringes?
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If you use a laser of higher intensity the locations where bright fringes appear will receive more photons per second so they will be brighter.

Why do you think that increasing the wavelength will increase he number of bright fringes? What equation do you have in mind? Also, in what way do you think the experiment will be improved if you increase the number of bright fringes?
 
kuruman said:
If you use a laser of higher intensity the locations where bright fringes appear will receive more photons per second so they will be brighter.

Why do you think that increasing the wavelength will increase he number of bright fringes? What equation do you have in mind? Also, in what way do you think the experiment will be improved if you increase the number of bright fringes?
The diffraction effect will enhance as the wavelength has increased, so the bright fringes will span wider. If the number of bright fringes has increased, the measurement will be more accurate.
 
Jason Ko said:
The diffraction effect will enhance as the wavelength has increased, so the bright fringes will span wider. If the number of bright fringes has increased, the measurement will be more accurate.
I repeat, what mathematical equation says that the number of fringes increases as the wavelength increases? You need to understand this point before you start thinking about increasing the accuracy of the experiment.

Also, you did not explain why more fringes means more accurate measurement. What exactly will you be measuring that will have its accuracy increased when you have more bright fringes?
 
As I'll measure the distance spanned by several bright fringes and then determine the fringe separation. I think more fringes will lead to a better evaluation of fringe separation.
 
kuruman said:
I repeat, what mathematical equation says that the number of fringes increases as the wavelength increases? You need to understand this point before you start thinking about increasing the accuracy of the experiment.

Also, you did not explain why more fringes means more accurate measurement. What exactly will you be measuring that will have its accuracy increased when you have more bright fringes?
I think I've made thing wrong. mλ=asinθ, larger wavelength means larger θ, so fewer fringes will be formed.
 
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Jason Ko said:
I think I've made thing wrong. mλ=asinθ, larger wavelength means larger θ, so fewer fringes will be formed.
Now you got the idea. So if you want to have more fringes, you have to decrease the wavelength.
 
kuruman said:
Now you got the idea. So if you want to have more fringes, you have to decrease the wavelength.
Thks a lot!
 
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