Imagine that you are conducting an activity with a laser....

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SUMMARY

The forum discussion centers on predicting changes to the interference pattern created by a laser, specifically using the equation Change in X = L(Lambda) / d. Two primary predictions are established: decreasing the distance from the slits to the screen (L) will reduce the fringe distance (X), and increasing the distance between the slits (d) will also reduce X. A third possibility is introduced, which involves decreasing the wavelength (Lambda) to achieve closer fringes. The community confirms the validity of the three predictions and suggests improving clarity in the explanation.

PREREQUISITES
  • Understanding of wave interference principles
  • Familiarity with the equation Change in X = L(Lambda) / d
  • Basic knowledge of laser physics
  • Ability to interpret mathematical relationships in physics
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  • Research the effects of wavelength on interference patterns in laser experiments
  • Explore advanced topics in wave optics, such as diffraction and coherence
  • Study the implications of varying slit separation in double-slit experiments
  • Learn about practical applications of interference patterns in technology
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Students studying physics, particularly those in grade 12, educators teaching wave optics, and anyone interested in the practical applications of laser interference patterns.

AlexisFair
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Homework Statement


Imagine that you are conducting an activity with laser to create an interference pattern. Use the appropriate equations to predict two ways to change the interference pattern in order to have closer fringes. Explain your predictions.

Change in X = L(Lambda) / d

Homework Equations

The Attempt at a Solution


Prediction One

The formula provided, shows that the distance between the fringes ( X) is proportional to the distance from the slits to the screen (L). Meaning, increasing one will increase the other. As a result, decreasing the distance from the slits to the screen (L) will decrease the distance between the fringes.

Prediction Two

The formula provided, shows that the distance between the fringes (X ) is inversely proportional to the distance between the two sources (d). Meaning, increasing one will decrease the other. As a result, Increasing the distance between the two sources , or slits (d) will decrease the distance between the fringes.

It says I need two predictions, but I think I found a third possibility, which is "Decreasing Lambda since it's proportional to X, just like L."

Because of this "Third possibility" I'm doubting my answers that I provided. I was wondering if this forum could look over my results to see if I missed something or if my answer is incorrect.I'm new to the forum and I hope this forum will help and guide me through grade 12 physics. Thank you .
 
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Hello Alexis, :welcome:

Good reasoning. Since there are three factors that play a role, you can expect three ways to influence the result, so no worries needed.

One small opportunity for improvement: the sentence
AlexisFair said:
Change in X = L(Lambda) / d
can easily be misunderstood. It might be safer to say something like "If ##\Delta X## is the distance between fringes, then ##\Delta X \propto \lambda L/d##.

I think the exercise composer asks for two because varying the distance Ln to the screen is rather trivial ...
 
BvU said:
Hello Alexis, :welcome:

Good reasoning. Since there are three factors that play a role, you can expect three ways to influence the result, so no worries needed.

One small opportunity for improvement: the sentence
can easily be misunderstood. It might be safer to say something like "If ##\Delta X## is the distance between fringes, then ##\Delta X \propto \lambda L/d##.

I think the exercise composer asks for two because varying the distance Ln to the screen is rather trivial ...

Yeah, my sentences are quite repetitive but I did not want to fix it up, yet, as I wanted to ensure my answer was correct. So just to make sure, should I change anything? (Other than improving the sentence structure.) Or should I add in that third possibility?
 

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