Pchem -- de Brogile relation question phrasing....

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The discussion centers on calculating the smallest resolvable object size using the de Broglie wavelength in the context of electron microscopy. The kinetic energy of an electron is determined by the equation Ek = eΔΦ, where ΔΦ is the electrical potential of 105 V. The resolution is derived from the de Broglie wavelength formula, λ = h/p, leading to λ = h/(2meΔΦ)^(1/2). The conversation highlights the importance of precise phrasing in physics problems and suggests comparing results with established electron microscope resolutions.

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Electrons are accelerated in an electrical potential of: ΔΦ = 105 V and are focused on a biological specimen. Assume that the kinetic energy of an electron is given by eΔΦ where e is the charge of an electron.
What is the smallest possible object that can be resolved assuming that the theoretical resolution is given by the de Brogile wavelength?

My problem is actually due to the phrasing of the question itself; I got something like this:
Ek = eΔΦ = 1/2mv2 ≡ p2/2m
then p = (2meΔΦ)(1/2) and from there get
λ= h/p or λ = h/(2meΔΦ)(1/2)

But I don't know if this was what my professor is looking for because of the phrasing, thoughts?
 
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