Young'a double slit experiment

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Homework Help Overview

The discussion revolves around a double-slit experiment involving blue light with a specific wavelength and the challenge of determining the wavelength of visible light that would produce a minimum at the same location on the screen. The subject area is optics, specifically interference patterns created by light passing through slits.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the equations governing maxima and minima in double-slit experiments, questioning the order of the minimum and the implications of using visible light. There are attempts to equate the equations for maxima and minima to find a solution.

Discussion Status

The discussion is active, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the mathematical approach to equate the conditions for maxima and minima. There is acknowledgment of the ambiguity in the problem statement regarding the order of the minimum.

Contextual Notes

Participants note that the problem does not specify the order of the minimum, which may affect the solution. Additionally, there is a focus on the requirement for the resulting wavelength to fall within the visible spectrum.

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Homework Statement


in a double-slit experiment, blue light of wavelength 4.60*10^2 nm gives a second order maximum or CI at a certain location P on the screen. what wavelength of visible light would have a minimum or DI at P?


Homework Equations


x=(l*lamda)/separation


The Attempt at a Solution


I dun get it at all
 
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The equation for double slit experiments when it is a maximum is
sin A=m(wavelength)/d. The equation for minimums is
sin A=(m+0.5)(wavelength)/d. Where A is the angle from where the observer will look at the spot on the screen. M is the "order" of the spots, whether it be max or min. d is the distance between the slits. Put all the constants on one side, which will be the sin A and d. Simple math and equating the equations together will get you the correct answer.

The question is a bit of vague, since it does not say what order is the minimum.
 
21385 said:
The equation for double slit experiments when it is a maximum is
sin A=m(wavelength)/d. The equation for minimums is
sin A=(m+0.5)(wavelength)/d. Where A is the angle from where the observer will look at the spot on the screen. M is the "order" of the spots, whether it be max or min. d is the distance between the slits. Put all the constants on one side, which will be the sin A and d. Simple math and equating the equations together will get you the correct answer.

The question is a bit of vague, since it does not say what order is the minimum.

i don't know it was nelson's textbook chapter 9 review Qs
 
21385 said:
The question is a bit of vague, since it does not say what order is the minimum.
But it does say visible light.
 
lol, i missed that ;)
 
21385 said:
lol, i missed that ;)

um..how should i start it...
 
How should i start it!?><
 
well, just follow the instructions in my previous post

move the constants to one side for both equations and equate the other sides together.

m1(wavelength1)=(m2+0.5)(wavelength2)
you know that m1 is 2 and wavelength1 is 4.60*10^2 nm.
Now try different values for m2 that will result in a wavelength that's between 400 to 700 nm. (visible light)
 
oh, so when i replaced m2 to 1, i got about 600nm..i think thatz the answer.
 

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