Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of Li⁺⁺ ion in its ground state is given by 1/Xa₀, where X = __________ (Where a₀ is the first Bohr's radius.) (a) 2 (b) 9 (c) 1 (d) 3

Answer: (d). rn = (n² a₀)/(Z); ground state n = 1, Li ⁺⁺ has Z = 3. r = a₀/3 ⇒ X = 3. So the answer is (d) 3.

Assuming the validity of Bohr's atomic model for hydrogen like ions… | JEE Main 2025 (2 Apr, Shift 2)

Q34JEE Main 2025 · 2 APR · SHIFT 2Easy

Bohr Model: Orbits, Speed & Angular Momentum

Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of $\text{Li}^{++}$ ion in its ground state is given by $\frac{1}{X}a_0$ , where $X =$ __________ (Where $a_0$ is the first Bohr's radius.)

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Answer: (d)

$r_n = \dfrac{n^2 a_0}{Z}$ ; ground state $n = 1$ , Li $^{++}$ has $Z = 3$ .
$r = \dfrac{a_0}{3} \Rightarrow X = 3$ .
So the answer is (d) 3.

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