Basic Modern Physics
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
10.0 Bohr Model of The Hydrogen Atom
10.2 Velocity of electron in the $n^th$ orbit
10.3 Orbital frequency of electron
In $1913$, Bohr proposed his model of hydrogen atom. It took into picture some features of Rutherford model and made a number of assumptions in order to combine the new quantum ideas of Planck and Einstein with the traditional description of a particle in uniform circular motion.
Assumptions:
- Electrons revolve around the nucleus in allowable energy levels (as there are only certain values of total energy of electrons in hydrogen atom). These allowed energy levels correspond to different orbits for the electron as it moves around the nucleus.
- These orbits are stationary in nature, i.e, electron in one of these orbits don't emit radiation.
- Electrons emit photon only on transition from from higher energy level to lower energy level and vice-versa.
- Angular momentum of the electron is quantized and it's magnitude must be an integral multiple of $\frac{h}{{2\pi }}$. So,$$mvr = \frac{nh}{{2\pi }}$$ where $m$=mass of electron, $v$=velocity of electron, $r$=radius of orbit of revolution and $n$=$1$, $2$, $3$,$...$
