Atomic StructuremediumCOMPREHENSIVE

The maximum distance of radial node from the nucleus isAtomic Structure Chemistry Question

Question

The maximum distance of radial node from the nucleus is

Answer: D

💡 Solution & Explanation

The radial nodes occur at $\sigma = 1, 2, 6$. The maximum distance is at $\sigma = 6$. Substituting into the given expression $\sigma = \frac{2Zr}{a_o}$, we get $6 = \frac{2Zr_{max}}{a_o} \implies r_{max} = \frac{6a_o}{2Z} = \frac{3a_o}{Z}$. Therefore, correct answer is D.

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