Question

Calculate the first-three Bohr radii for hydrogen atom.

Answer 1

SOLUTION : $\quad r_{n}=\frac{n^{2} h^{2}}{4 \pi^{2} m e^{2}}=n^{2} \times 0.529 \times 10^{-8} cm =n^{2} \times 0.529 Å$

$\begin{array}{l}n=1, r=1^{2} \times 0.529 Å= 0 \cdot 529 Å \\n=2, r=2^{2} \times 0.529 Å=2 \cdot 12 Å \\n=3, r=3^{2} \times 0.529 Å=4 \cdot 76Å .\end{array}$