Q. According to Bohr’s atomic model, the relation between principal quantum number($n$) and radius of orbit($r$) is
A) $r \propto n^{2}$
B) $r \propto \frac{1}{n^{2}}$
C) $r \propto \frac{1}{n}$
D) $r\ \propto \ n$
Explanation
(a) Electron angular momentum about the nucleus is an integer multiple of$\frac{h}{2\pi}$ , where $h$ is Planck’s constant.
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ I\omega\ = \ mvr$
= $\frac{nh}{2\pi}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ r \propto n$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.