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Comprehension XIII
The wave function for an atomic orbital of single electron atom or ion is
\[
\psi(r, \theta, \phi)=\frac{2}{3}\left(\frac{Z}{3 a_{0}}\right)^{3 / 2}(1-\sigma)\left(12-8 \sigma+\sigma^{2}\right) \cdot \sigma \cdot \mathrm{e}^{-\sigma / 2} \cdot \cos \theta
\]
where \( \sigma=\frac{2 Z r}{n a_{0}} \) and \( a_{0}=0.529 \AA \). All other parameters have their usual meaning.
The maximum distance of radial node from the nucleus is
(a) \( \frac{a_{0}}{Z} \)
(b) \( \frac{3 a_{0}}{Z} \)
(c) \( \frac{6 a_{0}}{Z} \)
(d) \( \frac{15 a_{0}}{Z} \)
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