Estimating the Bohr radius from the uncertainty principle

AI Thread Summary
The discussion revolves around estimating the Bohr radius using the uncertainty principle, with the initial approach involving the momentum equation p=h/r. The poster suggests substituting kinetic and potential energy to derive an energy function E=E(r) and then finding its minimum through differentiation. There is a consensus that the problem is straightforward and does not require excessive rigor, as it relies on approximations and assumptions. The poster seeks confirmation on whether their approach is correct or if any critical elements are overlooked. Overall, the method appears valid for estimating the Bohr radius.
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Homework Statement
In the below picture
Relevant Equations
Heisenberg uncertainty i guess
1649908091019.png


Soo. I think this problem is too direct and easy so I think I got it in wrong way: p=h/r and then plug in the K and V and then we get E=E(r) and get derivative and we have minimum? What do you think? is there sth I am missing?
 
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It seems fine to me. It is not supposed to be a hard/rigorous problem after all, since you are doing approximation and some assumptions before starting the calculations.
 

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