Physics > Basic Modern Physics > 10.0 Bohr Model of The Hydrogen Atom
Basic Modern Physics
1.0 Photon theory of light
2.0 Characteristics of photon
3.0 Wave Particle Duality
4.0 Emission of electrons
5.0 Photoelectric Effect
5.1 Laws of Photoelectric emission
5.2 Photoelectric equation
5.3 Photoelectric Current
5.4 Stopping potential
5.5 Graph between $K{E_{max}}$ and frequency
6.0 Radiation Pressure And Force
7.0 Photon Density
8.0 Force exerted by a light beam on a surface
9.0 Early Atomic Structures
10.0 Bohr Model of The Hydrogen Atom
10.1 Radius of Orbit
10.2 Velocity of electron in the $n^th$ orbit
10.3 Orbital frequency of electron
11.0 Energy of electron in the $n^{th}$ orbit
12.0 Basic Definitions
13.0 Atomic Excitation
10.2 Velocity of electron in the $n^th$ orbit
5.2 Photoelectric equation
5.3 Photoelectric Current
5.4 Stopping potential
5.5 Graph between $K{E_{max}}$ and frequency
10.2 Velocity of electron in the $n^th$ orbit
10.3 Orbital frequency of electron
$$\begin{equation} \begin{aligned} v = \frac{{nh}}{{2\pi m{r_n}}} = \frac{{nh}}{{2\pi m\left( {\frac{{{n^2}{h^2}{\varepsilon _0}}}{{\pi m{e^2}Z}}} \right)}} = \frac{{Z{e^2}}}{{2{\varepsilon _0}nh}} = \left( {\frac{{{e^2}}}{{2{\varepsilon _0}ch}}} \right)\left( {\frac{{cZ}}{n}} \right) \\ \Rightarrow v = \omega \left( {\frac{{cZ}}{n}} \right) \\\end{aligned} \end{equation} $$
where$$\omega\ \ (Summerfield's\;fine\;structure\;constant) = \frac{1}{{137}} $$
It is a pure number.
