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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