## Heisenberg- In relation to wavelength

$\Delta p \Delta x\geq \frac{h}{4\pi }$

chrisavalos-2L
Posts: 63
Joined: Fri Sep 28, 2018 12:18 am

### Heisenberg- In relation to wavelength

Question: If the uncertainty in the momentum increases for a given particle what does this mean for the uncertainty in its wavelength?

I was wondering what the relationship between these two uncertainties are and how one can potentially affect the other?

Ray Guo 4C
Posts: 90
Joined: Fri Sep 28, 2018 12:15 am

### Re: Heisenberg- In relation to wavelength

Because of λ=h/p, an increase in uncertainty of p increases the uncertainty of λ.

Karan Thaker 2L
Posts: 75
Joined: Fri Sep 28, 2018 12:26 am

### Re: Heisenberg- In relation to wavelength

I thought it would be the opposite? Because dividing planks constant by a larger number would lead to a smaller wavelength value? Because don't they have an indirect relationship?

Jonathan Zhao 4H
Posts: 57
Joined: Fri Sep 28, 2018 12:26 am

### Re: Heisenberg- In relation to wavelength

The uncertainty in momentum is inversely proportional to the uncertainty in wavelength, meaning a larger uncertainty in momentum will lead to a smaller uncertainty in wavelength, and vice versa.

Danny Zhang 4L
Posts: 62
Joined: Fri Sep 28, 2018 12:26 am

### Re: Heisenberg- In relation to wavelength

Because of the inverse relationship between momentum and wavelength shown in the de Broglie equation(λ=h/p), increasing the uncertainty of momentum will decrease the uncertainty of wavelength.

Danny Zhang 4L
Posts: 62
Joined: Fri Sep 28, 2018 12:26 am

### Re: Heisenberg- In relation to wavelength

Because of the inverse relationship between momentum and wavelength shown in the de Broglie equation(λ=h/p), increasing the uncertainty of momentum will decrease the uncertainty of wavelength.

Sapna Ramappa 1J
Posts: 63
Joined: Fri Sep 28, 2018 12:24 am

### Re: Heisenberg- In relation to wavelength

chrisavalos- 1K wrote:Question: If the uncertainty in the momentum increases for a given particle what does this mean for the uncertainty in its wavelength?

I was wondering what the relationship between these two uncertainties are and how one can potentially affect the other?

Because there's an inverse relationship between momentum and wavelength, an increase in the uncertainty of momentum will entail a decrease in the uncertainty of wavelength.