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Heisenberg and Wavelength

Posted: Sun Nov 04, 2018 9:05 pm
by ThomasLai1D
Hi,

I am just going over the last test, and one of the conceptual questions asked "How does the change in uncertainty in momentum affect the uncertainty in its wavelength?" I answered that there would be no impact because the Heisenberg principle does not relate momentum and wavelength, but it was incorrect. Would someone provide the correct answer?

Thanks

Re: Heisenberg and Wavelength

Posted: Sun Nov 04, 2018 9:08 pm
by WilliamNguyen_4L
This has to do with the equation wavelength=h/p. Since momentum is the denominator in that equation there is an inverse relationship between momentum and wavelength. Therefore if the uncertainty of the momentum increases then the uncertainty of wavelength decreases and vice versa.

Re: Heisenberg and Wavelength

Posted: Sun Nov 04, 2018 10:06 pm
by caseygilles 1E
The question is trying to get us to mention that the more we know about one, the less we know about the other. So, if we know the uncertainty in position is a very specific discrete value, we will know less about the value in the uncertainty of momentum.

Re: Heisenberg and Wavelength

Posted: Sun Nov 04, 2018 11:53 pm
by Grace Diaz 3F
momentum does affect wavelength, since they have a reciprocal relationship. That is the concept behind de Broglie's equation (wavelength= plank's constant/momentum)

Re: Heisenberg and Wavelength

Posted: Mon Nov 05, 2018 12:34 am
by Phil Timoteo 1K
It does because wavelength is equal to h/momentum. So they are inversely related the higher the momentum the smaller the wavelength and vice versa.

Re: Heisenberg and Wavelength

Posted: Mon Nov 05, 2018 1:17 am
by 705152867
wavelength=planck's constant/momentum, so wavelength and momentum do affect each other. However, I believe the question is looking for the answer explaining how the less we know about uncertainty in momentum, the less we know about uncertainty in position and vice-versa.

Re: Heisenberg and Wavelength

Posted: Fri Nov 16, 2018 1:07 pm
by DavidEcheverri3J
Hey guys, new interesting fact... the kilogram is being redefined! https://youtu.be/c_e1wITe_ig

Re: Heisenberg and Wavelength

Posted: Tue Dec 04, 2018 1:12 am
by 705022748
momentum and wavelength directly affect each other.

Re: Heisenberg and Wavelength

Posted: Tue Dec 04, 2018 5:38 pm
by Michael_Navarro_1H
If a question like this were to come up on the final, I would find an equation where each variable is included and see if there is a way to relate them together that would assist you in answering the question.

Re: Heisenberg and Wavelength

Posted: Thu Dec 06, 2018 9:18 pm
by Nina Do 4L
I wrote something along the lines of they are inversely proportional to one another and that it is impossible to know both momentum and position at the same time and got credit for it. Hope that helps!

Re: Heisenberg and Wavelength

Posted: Thu Dec 06, 2018 9:42 pm
by Lopez_Melissa-Dis4E
Because momentum and wavelength are inverses of one another, if you know the precise value for one then you don't know the value of the other. (vice versa) That is why it is named the Heisenburg Uncertainty Principle.

Re: Heisenberg and Wavelength

Posted: Sun Dec 09, 2018 10:27 am
by uhedlund
Because wavelength=planck's constant/momentum, they have an inverse relationship. As momentum increases, wavelength decreases.