Double Slit Problem: Laser Wavelength & Intensity

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SUMMARY

The discussion focuses on the Double Slit Problem involving two lasers with different wavelengths, specifically laser 1 with a wavelength of d/20 and laser 2 with a wavelength of d/15. Participants utilize the formulas for the positions of bright and dark fringes to determine which laser's first maximum is closer to the central maximum and to calculate distances between various maxima and minima. Key formulas referenced include y_m = [m*(lambda)*L]/d for maxima and y'_m = [(m+1/2)*(lambda)*L]/d for minima. The calculations emphasize careful consideration of the integer values for m when determining positions of interference patterns.

PREREQUISITES
  • Understanding of the Double Slit Experiment and interference patterns
  • Familiarity with the formulas for calculating positions of maxima and minima in wave interference
  • Basic knowledge of laser wavelengths and their impact on interference
  • Ability to perform calculations involving distances and wavelengths
NEXT STEPS
  • Study the derivation and application of the interference formulas from "Physics for Scientists and Engineers" by Knight
  • Learn about the impact of wavelength on interference patterns in the Double Slit Experiment
  • Explore the concept of fringe spacing and its dependence on slit separation and distance to the screen
  • Investigate the use of LaTeX for presenting physics equations clearly in discussions
USEFUL FOR

Students and educators in physics, particularly those studying wave mechanics and interference patterns, as well as anyone preparing for exams involving the Double Slit Experiment.

whiskey04
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Two lasers are shining on a double slit, with slit separation . Laser 1 has a wavelength of , whereas laser 2 has a wavelength of . The lasers produce separate interference patterns on a screen a distance 5.80 away from the slits.

Part A
Which laser has its first maximum closer to the central maximum?

Part B
What is the distance between the first maxima (on the same side of the central maximum) of the two patterns?
Express your answer in meters.

Part C
What is the distance between the second maximum of laser 1 and the third minimum of laser 2, on the same side of the central maximum?
Express your answer in meters.

Not sure where to start ...

currently working with wavelength = (Y*D)/(mR)
 
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Have you tried to use LaTeX or something there? You appear to be missing your wavelengths.
 
if you are using the textbook: "physics for scientists and engineers" second edition by KNIGHT, you should check out page 675 there are two formulas that is help for. I will list them below in case you are using another texbook.
First one: y_m(y subscrip m) = [m*(lambda)*L]/d where m can be interger.-> position of bright fringes (maximum
second one: y'_m(y' sbscrop m) = [(m+1/2)*(lambda)*L]/d where m can be interger.-> position of dark fringes (minimum)

To help you approach the question, you should compare the change in y by formula one list above. where for laser one, lambda = d/20 ,and laser two, lambda = d/15.
just plug the number in and calculate, the one with lower is closer to central maximum.
(use 1 for m for both, since 0 is central maximum)

part B: use the calculation above to help you solve this one out, subtract both.(watch the signs, keep it positive)

Part C: similar like Part A calculation, where you should be careful with the "m" you use.
For maximum count from 1 because 0 is central max, thus second maximum of l aser 1 use m=2. For minimum count from 0, since there is actully no central min. so the third minimum of laser 2 is still m=2. and then just plug in the number and calculate. keep the result positive.

If you have any further question just take a look of the textbook, or you can post it and i will tried to answer.

If there is anything incorrect people find from my message please that me know..thanks
 
muppet said:
Have you tried to use LaTeX or something there? You appear to be missing your wavelengths.

i think it's the question from mastering physics..but i could be wrong.. the wavelengths for laser 1 is d/20 and laser 2 is d/15..
 

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