Atomic Physics

Step 1: Formula (Rydberg equation).
For Balmer series: , where .
Step 2: For H line ( ).

Step 3: For H line ( ).

Step 4: Series limit (when ).

Step 5: Conclusion.
- H :
- H :
- Balmer limit:

Step 1: Bohr’s quantization rule.
Angular momentum of electron in orbit is:
Step 2: Successive difference.
For two successive orbits:
Step 3: Conclusion.
So, the difference is .

Step 1: Bohr’s quantization condition.
According to Bohr’s model, angular momentum of electron in orbit is: where = electron mass, = velocity, = radius.
Step 2: Radius of orbit.}
From Bohr’s theory: So,
Step 3: Velocity of electron.
Velocity is given by: So,
Step 4: Period of revolution.
Period is time taken for one complete revolution: Substituting dependencies:
Step 5: Conclusion.
Thus, the period of revolution of electrons in Bohr’s model is proportional to .