Atomic StructureHard

Question

What is the most probable distance of a 1s electron in a He+ ion. The wave function for 1s orbital is given by $\Psi = \sqrt{\left( \frac{Z^{3}}{\pi a_{0}^{3}} \right)e^{- Zr/a_{0}}}$, where ao = radius of first Bohr’s orbit in H-atom = 52.9 pm.

Options

A.52.9 pm
B.13.25 pm
C.6.61 pm
D.26.45 pm

Solution

$r_{mp} = \frac{a_{0}}{z} = 26.45\text{ pm}$

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