Estimating the Bohr radius from the uncertainty principle

[drop_out_kid]

Homework Statement

In the below picture

Relevant Equations

Heisenberg uncertainty i guess

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?

 

[LCSphysicist]

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.