Chemistry - Atomic Structure Question with Solution | TestHub

Radius of the Bohr's orbit is calculated by the following formula ${\mathrm{r}}_n=0.529\times \frac{{\mathrm{n}}^2}{\mathrm{z}}\mathrm{Å}$

Radius is directly proportional to square of n^th orbit and inversely proportional to atomic number. This formula works for single electron species

here ${\mathrm{r}}_{\mathrm{n}}=$radius of the nth orbit

$\mathrm{Z}=1 \mathrm{and} \mathrm{n}=$orbit or shell number

${\mathrm{r}}_2=0.529\times \frac{{\left(\mathrm{2}\right)}^2}{1} Å$

$=2.12 \mathrm{Å}$