Electrons motion at de broglies wavelength

In summary, when an electron moves with a certain de Broglies wavelength, its velocity can vary depending on the wavelength due to the relationship between wavelength and momentum (λ=h/p) and velocity (v=h/mλ). This can be viewed under certain conditions.
  • #1
DODGEVIPER13
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Homework Statement


When an electron moves with a certain de Broglies wavelength, does any aspect of the electrons motion vary with the wavelength.


Homework Equations


λ=h/p
p=mv

The Attempt at a Solution


Ok so I realize that under certain conditions electrons wavelike properties can be viewed. I also realize that he associated the momentum p with wavelength as in the equation λ=h/p. So using algebra v=h/mλ and therefore I could see how electrons motion could vary because depending on the wavelength it will move with different velocity. So am I on the right track or what.
 
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  • #2
sounds fine to me.
 
  • #3
Sweet thanks I thought I was on to something
 

FAQ: Electrons motion at de broglies wavelength

What is de Broglie's wavelength?

De Broglie's wavelength is a concept in quantum mechanics that describes the wavelength of a particle, such as an electron, based on its momentum. It is named after French physicist Louis de Broglie who proposed the idea in his doctoral thesis in 1924.

How is de Broglie's wavelength related to the motion of electrons?

De Broglie's wavelength is related to the motion of electrons because it describes the wave-like behavior of particles, including electrons. The wavelength of an electron determines its energy and momentum, and can help predict its behavior and interactions with other particles.

What is the significance of de Broglie's wavelength in quantum mechanics?

De Broglie's wavelength is significant in quantum mechanics because it helps bridge the gap between the wave-like and particle-like behavior of matter. It also provides a way to understand and predict the behavior of particles at the quantum level, where classical physics laws do not apply.

How is de Broglie's wavelength experimentally observed?

De Broglie's wavelength can be observed in experiments such as the double-slit experiment, where electrons are fired through two narrow slits and create an interference pattern on a screen. This pattern is only possible if electrons behave like waves with a specific wavelength.

Can de Broglie's wavelength be applied to other particles besides electrons?

Yes, de Broglie's wavelength can be applied to any particle, including protons, neutrons, and even larger objects like atoms and molecules. However, the wavelength becomes negligible for larger, macroscopic objects and is only significant at the quantum level.

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