What is angular momentum of an electron in fourth orbit of hydrogen atom?
What is angular momentum of an electron in fourth orbit of hydrogen atom?
$\frac{\mathrm{h}}{2 \pi}$
$\frac{\mathrm{h}}{\pi}$
$\frac{2 \mathrm{~h}}{\pi}$
$\frac{3 \mathrm{~h}}{\pi}$
Solution
The angular momentum of an electron in a given stationary orbit of hydrogen atom $=\mathrm{mvr}=\frac{\mathrm{nh}}{2 \pi}$
(where $\mathrm{n}=1,2,3$ )
Angular momentum of an electron in fourth orbit of hydrogen atom $=\frac{4 h}{2 \pi}=\frac{2 h}{\pi}$