Young'a double slit experiment

AI Thread Summary
In the double-slit experiment, blue light with a wavelength of 460 nm produces a second-order maximum at point P on the screen. To find the wavelength of visible light that would create a minimum at the same point, the relevant equations for maxima and minima must be used. The equations indicate that the relationship between the orders and wavelengths can be expressed as m1(wavelength1) = (m2 + 0.5)(wavelength2). By substituting m1 as 2 and testing various values for m2, a wavelength of approximately 600 nm is determined as a potential answer. The discussion highlights the importance of clarity in the problem statement regarding the order of the minimum.
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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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