Question

Hydrogen atom, unipositive helium, dipositive lithium contain single electron in the same shell. Is the radius of the shell same in all cases? Give reason.

Answer 1

For hydrogen and hydrogen atom radius of $n^{th}$ orbital is given by $R_n=R_o\times \frac{n^2}{Z}$ (Z=atomic number)

$n=1$ for $H$, $H{e}^{+}$and ${Li}^{+2}$

$H\to R_1=R_o\times \frac{1}{1}{Li}^{+2}\to R_1=R_o\times \frac{1}{3}$

$H{e}^{+}\to R_1=R_o\times \frac{1}{2}$

Therefore, the radius will be different.