Electrons motion at de broglies wavelength

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When an electron moves with a specific de Broglie wavelength, its motion is influenced by that wavelength, particularly in terms of velocity. The relationship between wavelength and momentum is expressed in the equation λ=h/p, where p is momentum. By rearranging this equation, it can be shown that velocity varies inversely with wavelength, expressed as v=h/mλ. This indicates that as the wavelength changes, the electron's velocity will also change. The discussion confirms that the understanding of this relationship is correct.
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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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sounds fine to me.
 
Sweet thanks I thought I was on to something
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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