Question

2. Find an expression for the radius of the electron orbit as the hydrogen atom is in its $n$ state. What will be the approximate quantum number $n$ for an electron in an orbit of radius $r = 0.53\AA$? Given $e = 1.6 \times 10^{-19}C$, $h = 6.63 \times 10^{-34} Js$, $m = 9.1 \times 10^{-31} kg$ and $\epsilon_0 = 8.84 \times 10^{-12} C^2/Nm^2$. Solution. The basic equations in the Bohr theory of hydrogen atom are

          2. Find an expression for the radius of the electron orbit as the hydrogen atom is in its $n$ state. What will be the approximate quantum number $n$ for an electron in an orbit of radius $r = 0.53\AA$? Given $e = 1.6 \times 10^{-19}C$, $h = 6.63 \times 10^{-34} Js$, $m = 9.1 \times 10^{-31} kg$ and $\epsilon_0 = 8.84 \times 10^{-12} C^2/Nm^2$.
Solution. The basic equations in the Bohr theory of hydrogen atom are