Young'a double slit experiment

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SUMMARY

The discussion centers on calculating the wavelength of visible light that results in a minimum at a specific location in a double-slit experiment, given that blue light with a wavelength of 460 nm produces a second-order maximum. The relevant equations for maxima and minima are provided: for maxima, sin A = m(wavelength)/d, and for minima, sin A = (m + 0.5)(wavelength)/d. By equating the two equations and substituting m1 = 2 and wavelength1 = 460 nm, participants determined that using m2 = 1 yields a wavelength of approximately 600 nm, which falls within the visible light 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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