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/X a_0 , where X= _______. (Where a_0 is the first Bohr's radius.)

Correct answer: (C) 3. r=r_0 (n^2)/z \ z=3 for Li^+2 and n=1 ∴ r=r_0 (1^2)/3=r_0/3 ∴ x=3

Q51 / 75 · JEE Main 2025 (2 Apr Shift 2) · Physics

Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of $\mathrm{Li}^{++}$ion in its ground state is given by $\frac{1}{X} a_0$, where $X=$ _______. (Where $\mathrm{a}_0$ is the first Bohr's radius.)

A
2
B
1
Correct answer
C
3
D
9

Solution

$\mathrm{r}=\mathrm{r}_0 \frac{\mathrm{n}^2}{\mathrm{z}} \& \mathrm{z}=3$ for $\mathrm{Li}^{+2}$ and $\mathrm{n}=1$
$\therefore \mathrm{r}=\mathrm{r}_0 \frac{1^2}{3}=\frac{\mathrm{r}_0}{3} \quad \therefore \mathrm{x}=3$

Hence, the correct answer is option: 'C'.

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