Question

The radius of hydrogen atom in the ground state 0.53Å. The radius of ${}_{3}L{i}^{2+}$ in the similar state is

• A. $1.06$ Å
• B. $0.53$ Å
• C. $0.265$ Å
• D. $0.17$ Å

Answer 1

The correct option is D

$0.17$ Å

$r_{Li}=\frac{r_H\times n^2}{Z}$
$(n=1,$ because state is same as hydrogen, i.e., ground state for $Li,Z=3)$
$r_{Li}=\frac{0.53\times (1{)}^2}{3}=0.17\text{Å}$