Bohr’s Atomic model



Postulates of  Bohr’s atomic model

  • Electrones revolve around the nucleus in certain permieteed orbit.
  • Angular momentum of the electron when it revolves arount the certain permitted orbit is equal to the integral multiple of  h/2π

Mathematically it can be expressed as

Bohors atomic model

Where n = 1 , 2, 3, ….

H = plank’s constant

M = mass of electron

V= velocity of electron

R = radius of orbit of electron

 

This principle is called a quantization principle.

When electron revolves around the nucleus in certain permitted orbit, it can have a transition from higher energy level to the lower energy level with the emission of radiation which corresponds to the difference in energy between any two energy levels.

The electrostatics force of attraction between the proton and the election is given by

Bohors atomic model

If m and v be the mass and velocity of the electron in the orbit, then the centripetal force required by the electron to move in circular orbit of radius ‘r’ is given by

Bohors atomic model

Further, the electrostatic force of attraction between the election and the nucleus provides the necessary centripetal force .

Bohors atomic model

According to Bohr’s postulate ,

Bohors atomic model

Now , substituting the value of v2 in equation iii we get ,

Bohors atomic model