For the state , , (a) we have to locate the two maxima for the radial probability density curve; and (b) calculate the radial probability density at the two maxima.

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(a)

The wave function for the state and is

.

The radial probability density is given by

For finding out the maxima of , we calculate

.

We find

It can be shown that is a minimum and the maxima of are the roots of the equation

(b)

The radial probability density at the first maxima will be

The radial probability density at the first maxima will be