The average value of the radius in the 1 s state of the hydrogen atom is (a₀ is Bohr radius)

(b) 1.5 a₀. Explanation: ⟨r⟩₁ₛ = (3/2)a₀ (the most probable radius is a₀).

Q82 · CSIR-NET Chemistry, June 2012

Paper: CSIR-NET June 2012 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Hydrogen Atom · Marks: 2 · Difficulty: Medium

The average value of the radius $<\mathrm{r}>$ in the 1 s state of the hydrogen atom is ( $\mathrm{a}_{0}$ is Bohr radius)

(a)$\mathrm{a}_{0}$

(b)$1.5 \mathrm{a}_{0}$

(c)$0.75 \mathrm{a}_{0}$

(d)$0.5 \mathrm{a}_{0}$

Answer

Answer: B ✓ checked by 4AB · confidence high

The source book printed no answer; this one was worked out and checked — see the explanation.

Explanation

⟨r⟩₁ₛ = (3/2)a₀ (the most probable radius is a₀).

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