For an electron in 1s orbital of He⁺, the average value of r, r is · ABC26PH0181

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Hydrogen Atom · Exam: CSIR NET 2020 · Marks: 2 · Difficulty: Easy

For an electron in 1s orbital of $\mathrm{He^{+}}$, the average value of r, $\langle r \rangle$ is
(a)$\frac{3}{2}a_0$
(b)$\frac{3}{4}a_0$
(c)$3a_0$
(d)$\frac{1}{2}a_0$
Answer
Answer: B ✓ checked by 4AB · confidence high
Explanation
⟨r⟩₁ₛ = (3/2)(a₀/Z); for He⁺ (Z = 2) this is (3/4)a₀ — option 2.

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