The radus of hydrogen atom in the ground state `0.53 Å`. The radius of `Li^(2+)` ion (Atomic number = 3) in a similar state is

Options

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

Answer

A

Explanation

(a) We know that `r_(n)` (H-like)`=(r_(n)("H-atom")xxn^(2))/(Z)` ltbvrgt For ground state, n=1
`:. r_(n)(Li^(2+))=(0.53Åxx(1)^(2))/(3)`
(Li, Z = 3)=0.17 Å