Atomic StructuremediumMCQ SINGLE

What is the most probable distance of a 1s electron in a He ion. The wave function for 1s orbital isAtomic Structure Chemistry Question

Question

What is the most probable distance of a 1s electron in a He$^+$ ion. The wave function for 1s orbital is given by $\psi = \sqrt{\frac{Z^3}{\pi a_0^3}} e^{-Zr/a_0}$, where $a_o$ = radius of first Bohr's orbit in H-atom = 52.9 pm.

Answer: D

💡 Solution & Explanation

The most probable distance for a 1s electron in a hydrogen-like species is $\frac{a_0}{Z}$. For He$^+$, $Z=2$. Thus, $r = \frac{52.9}{2} = 26.45$ pm. Therefore, correct answer is D.

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