The figure shows standing de-Broglie waves due to the revolution of electron in a certain orbit of h

Question

The figure shows standing de-Broglie waves due to the revolution of electron in a certain orbit of hydrogen atom. Then the expression for the orbit radius is (all notations have their usual meanings)

Professor PC Thomas Classes · Answer

(b) : There are six numbers of stationary waves, so $n=6$ Orbital radius, $r_n=\frac{n^2 \varepsilon_0 h^2}{\pi m e^2 Z}=\frac{36 \varepsilon_0 h^2}{\pi m e^2}$