Atomic StructureHard

Question

The average and the most probable distance from the nucleus for 1s electron in hydrogen atom are, respectively (ao is the first Bohr radius.),

Options

A.ao, ao
B.ao, 1.5ao
C.1.5ao, ao
D.1.5ao, 1.5ao

Solution

For $n - l - 1 = 0,r_{mp} = \frac{n^{2}a_{0}}{z}$ and for all orbitals $r_{av} = \frac{n^{2}a_{0}}{z}\left\lbrack 1 + \frac{1}{2}\left( 1 - \frac{l(l + 1)}{n^{2}} \right) \right\rbrack$

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