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6. The radial wave function of the hydrogen atom in the 2p state is
1
R(r) =
2/6a2 ao
where a0 is the Bohr radius.
a) Make a graph of the probability density of finding the electron between the distance r and r + dr from the nucleus.
b) Calculate the radius where this probability is greatest.
c) Calculate the expectation value of the radius and compare it with the previous result.

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