Q21 of 26 Page 1

(i) State Bohr’s quantization condition for defining stationary orbits. How does de Broglie hypothesis explain the stationary orbits?


(ii) Find the relation between the three wavelengths λ1, λ2 and λ3 from the energy level diagram shown below.



(i) As mentioned by the Bohr’s Quantisation Rule, an electron rotates in a distinct, non- ionising radiating orbit or shell, for which the total angular momentum of the electron in the orbit is a multiple of , where h is the Planck’s Constant.


Therefore, equating the angular momentum of the electron to the multiple of we get the equation



(ii)


Using the Rydberg’s formula, the relationship between the atoms can be specified as



For the Second Level


For the Third Level



After adding the first and the second equation we get the relationship with the third level.




Hence, the above equation shows that the relation between 3 wave of the energy level diagram.


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