Double Slit Problem: Laser Wavelength & Intensity

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Homework Help Overview

The discussion revolves around a double slit experiment involving two lasers with different wavelengths. Participants are tasked with determining the positions of interference maxima and minima on a screen located a specific distance from the slits.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the formulas for calculating the positions of maxima and minima in interference patterns. There are attempts to clarify the relationship between wavelength, slit separation, and the resulting interference pattern. Questions arise regarding the specific wavelengths of the lasers and how to apply the formulas correctly.

Discussion Status

Some participants have provided guidance on relevant formulas and suggested approaches for solving the problem. There is an ongoing exploration of how to apply these formulas to find the distances between maxima and minima for the two lasers. Multiple interpretations of the problem setup are being considered.

Contextual Notes

There is a noted absence of specific wavelength values in the original post, which may affect the clarity of the discussion. Participants reference a textbook for additional context and formulas, indicating a reliance on external resources for problem-solving.

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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