The Bohr radius a₀ of the hydrogen atom is the value of r that minimizes the energy

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2 1- E(r) = where ħ, m, e, and o are physical constants. Show that ao = 4лεħ²/(me²). Assume that the minimum occurs at a critical point, as suggested by Figure 23. E(r) (10-18 joules) - 1 -24 ħ² 2mr² 2 + e² 4πeor 3 +r (10-10 m)