Question

According to the 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. $r\propto n$

Answer 1

The correct option is D $r\propto n$

Electron angular momentum about the nucleus is an integer multiple of $\frac{h}{2\pi }$, where h is Planck's constant.
Thus, $I\omega =mvr=\frac{nh}{2\pi }$
Hence $r\propto n$.