Question: In sample problem 39-7 we showed that the radial probability density for the ground state of the hydrogen atom is a maximum when r =

In sample problem 39-7 we showed that 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 r avg, 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 amaximum. P(r) r dr. Favg

P(r) r dr. Favg

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