The radial probability density for the ground state of the hydrogen atom is a maximum when r = a, where a is the Bohr radius. Show that the average value of r, defined as

Has the value 1.5a. In this expression for ravg, each value of P(r) is weighted with the value of r at which it occurs. Note that the average value of r is greater than the value of r for which P(r) is a maximum.

Transcribed Image Text:

POr avgP dr,