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

Chapter 4, Problem 78

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The Bohr radius a0 of the hydrogen atom is the value of r that minimizes the energy E(r) = h 2 2mr2 e2 40r where h, m, e, and 0 are physical constants. Show that a0 = 40h 2/(me2). Assume that the minimum occurs at a critical point, as suggested by Figure 21. 1 3 2 1 2 1 2 r (1010 m) E(r) (1018 joules)

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