Uncertainty principle and hydrogen atom electron

AI Thread Summary
The discussion revolves around applying the uncertainty principle to determine the energy required to confine an electron within a hydrogen atom, using a radius of 1 x 10^-10 m for Δr. Participants are questioning whether the radius can be considered as Δx and how to calculate the electron's momentum. They note that there are various expressions of the uncertainty principle that could be relevant to the problem. The conversation highlights the need for clarity on the definitions and calculations involved in this quantum mechanics context. Overall, the focus is on solving the energy confinement problem using the principles of quantum mechanics.
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Homework Statement



Using the uncertainty principle find the energy required for the electron to be confined inside the hydrogen atom. Use the radius of the atom 1 x 10-10 m for Δr. Express your answer in eV, rounded up to the nearest hundredth.

Homework Equations



ΔxΔp\geqh/4pie
x=position in space
p=momentum

The Attempt at a Solution



is is the radius of the atom=Δx? and if it is how do i get the momentum of the electron?
 
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