Q. In the Bohr model of the hydrogen atom, let $R,V$and $E$ represent the radius of the orbit, the speed of electron and the total energy of the electron respectively. Which of the following quantities is proportional to quantum number $n$?
A) $\frac{R}{E}$
B) $\frac{E}{V}$
C) $RE$
D) $VR$
Explanation
(d) As $R \propto n^{2};V \propto \frac{1}{n}\ and\ E \propto \frac{1}{n^{2}}$
$\therefore VR \propto \left( \frac{1}{n} \times n^{2} \right)ie,\ VR \propto n$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.