Question

A hydrogen atom has an orbit which has a diameter of about $16.92A^o$. What is the maximum number of electrons that can be accommodated in that orbit?

• A. $8$
• B. $32$
• C. $50$
• D. $72$

Answer 1

The correct option is B $32$

Given:
Diameter = $16.92A^o$
$\therefore radius=8.46A^o$
(for hydrogen atom Z=1)
Hence,
$r=n^2\times 0.529A^o$
$8.46=n^2\times 0.529$
$n^2=16$
$\therefore n=4$
Therefore, the maximum number of electron in the fourth orbit is = $2n^2$
= $2\times 4^2$ = $32$