Angular momentum of an electron in an orbit of H atom is pro... | Physics | SolveeIt | Solveeit

Today, August 18

Question

Angular momentum of an electron in an orbit of H atom is proportional to

A

$r$

B

$\frac{1}{r}$

C

$\sqrt{r}$

D

$\frac{1}{\sqrt{r}}$

Answer

$\sqrt{r}$

Explanation

Solution

Angular momentum of an electron in an orbit of H-atom
$L = \frac{nh}{2 \pi }$
Also , $r \propto \frac{n^2}{Z}$
So, $L \propto \sqrt{r}$