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. 0.13
B. 0.06
C. 4.77
D. 2.12

Answer

D

Explanation

(d) `r prop n^(2)//Z`
where, n=number of orbit
Z=atomic number
`:' r_(1) prop n_(1)^(2)`
`r_(2) prop n_(2)^(2) " "`(Z=1 for H-atom)
So, `(r_(1))/(r_(2))=(n_(1)^(2))/(n_(2)^(2))`
`(0.530)/(r_(2))=(1^(2))/(2^(2))`
`:. " " r_(2)=0.530xx4 = 2.120Å`