Question

In Bohr theory of hydrogen atom, let $r,v$ and $E$ be the radius of orbit, speed of electron and the total energy of the electron respectively. Which of the following quantities is directly proportional to the quantum number $n$?

• A. $vr$
• B. $rE$
• C. $\frac{r}{E}$
• D. $\frac{r}{v}$

Answer 1

The correct option is A $vr$

$v$ is inversely proportional to $n$ and $r$ is directly to $n^2.$

$vr\propto \frac{1}{n}\times n^2\propto n$