In this theory, atomic model of Bohr is explained here.

# Bohr’s Atomic Model

The
atomic model is proposed by Bohr in 1913. The Bohr has made following assumptions.

- The atom has massive positive charged nucleus.
- The electrons revolve round their nucleus in circular orbits.
- The centrifugal force between electron and nucleus is balanced by electrostatic pull.
- The electron cannot revolve round the nucleus in any arbitrary orbit but certain definite discrete orbits (stationary orbits).
- The orbital angular momentum of the electron is equal to an integral multiple of h/2π
- Orbital angular momentum = nh / 2π
- Where
n = Integer, h =
**Planck’s constant** - The electrons do not radiate out any electromagnetic energy while revolving in the stationary orbits. In other words. the orbits are non-radiating path of the electron.

## Frequency of Emitted Photons

**When electrons jump from one orbit to another orbit, the atom radiates out energy.**- If E1 and E2 are the energy of the two orbits before and after electron jump, the frequency of the emitted photon is given by

E1
– E2 = hf

ΔE
= hf

Where
f = Frequency of the emitted radiations

- If I is moment of inertia of an electron and ω is its angular velocity, then

ωI
= nh / 2π

(
mr^{2} ) ω = nh / 2π

(
mr^{2} ) ( v / r ) = nh / 2π

mvr
= nh / 2π

- The n is called as principal quantum number or Bohr’s circular orbit and it is first, second and third orbits etc…. If fixes the size of allowed orbits

= 1, 2, 3 etc

- momentum of revolving electron = mv
- moment of electron about nucleus = mvr

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