Finding Angles in a Double slit experiment

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Homework Help Overview

The discussion revolves around a problem related to the double slit experiment, specifically focusing on finding angles associated with bright fringes resulting from constructive interference. The original poster is uncertain about how to handle different wavelengths in their calculations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to clarify how to approach calculations involving different wavelengths for bright fringes. Some participants suggest performing separate calculations for each wavelength. Questions arise regarding the determination of the integer m used in the calculations for bright fringes.

Discussion Status

Participants are actively engaging with the problem, offering guidance on how to handle multiple wavelengths and suggesting values for m to consider. There is an ongoing exploration of how many angles to calculate, with some participants proposing specific values for m.

Contextual Notes

The problem does not specify how many angles should be calculated, leading to some ambiguity in the discussion. The original poster is also navigating the implications of using different wavelengths in their calculations.

jisbon
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Homework Statement
A point light source is used in a double-slit experiment. The light source contains 2 wavelengths (500nm and 600nm). Separation of the 2 silts is d=1mm. 2 sets of interference fringes are formed on the screen. Find the angles where the bright fringes are formed for both of the wavelengths.
Relevant Equations
##d\sin \theta =m\lambda##
1579006899965.png

Hello all!


Having some problems understanding this question.
From what I know, bright fringes means that there will be constructive interferences, whereby ##d\sin \theta =m\lambda##
In this case, I know the d (separation of silts). However, what should I put in for wavelength? I went through some examples online and they all showed sources projecting the same wavelength. In cases of different wavelength like the one above, how should I proceed? Cheers
 
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Do two separate calculations, one for 500 nm and one for 600 nm. There will be two sets of fringes.
 
mjc123 said:
Do two separate calculations, one for 500 nm and one for 600 nm. There will be two sets of fringes.
Thanks for the fast reply. What should I input for m? I understand that for bright fringes, m can be = 0,1,2,3.. etc. So in this case, how do I determine the value of m? Cheers
 
It asks for angles (plural) but doesn't say how many. I would give values for m = 0, 1, 2 for each wavelength.
 
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Likes   Reactions: jisbon
Oh okay, thanks for the help :smile:
 

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