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)

• A. $\frac{ h ^{2} \in_{0}}{\pi me ^{2}}$
• B. $\frac{4 h^{2} \epsilon_{0}}{\pi m e^{2}}$
• C. $\frac{9 h^{2} \in_{0}}{\pi m e^{2}}$
• D. none

Answer 1

Answer: (D)

Number of stationary waves is $6$ i.e., $n =6$
$r=\frac{n^{2} \varepsilon_{0}^{2} h^{2}}{\pi m e^{2}}$
$=\frac{36 \varepsilon_{0}^{2} h^{2}}{\pi m e^{2}}$