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Assume that the kinetic energy of an electron in the n = 1 state of a...

Assume that the kinetic energy of an electron in the n = 1
state of a hydrogen atom is on the same order of magnitude as the
absolute value of its total energy, and estimate a typical speed at
1028 Chapter 36 The Atom which it would be moving. (It cannot really have a single, de nite
speed, because its kinetic and interaction energy trade o at different
distances from the proton, but this is just a rough estimate of a
typical speed.) Based on this speed, were we justified in assuming
that the electron could be described nonrelativistically?

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