Question

The maximum number of electrons that can be accommodated in a orbit of hydrogen atom whose diameter is $16.92\mathring{A}$ is________.

Answer 1

Answer: 32

Diameter of hydrogen atom $=16.92\mathring{A}$

Radius of atom $=\frac{16.92}{2}=8.46\mathring{A}$

Also, $r_n=\frac{0.53n^2}{z}\mathring{A}$

$8.46=\frac{0.53n^2}{1}$

Or $n=4$

Therefore, the maximum number of electrons in the fourth orbit are

$=2n^2=2\times (4{)}^2=32$