Question

The orbital frequency of an electron in the hydrogen atom is proportional to

• A. $n^3$
• B. $n^{-3}$
• C. $n^1$
• D. $n^0$

Answer 1

Answer: (B)

Time period of electron, $T=\frac{4{\epsilon }_0^2{n}^3{h}^3}{m{Z}^2{e}^4}$
$\therefore T\propto n^3$
$\therefore \frac{1}{\text{frequency}(f)}\propto n^3$
or $f\propto n^{-3}$