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Question

The energy of the electron of the hydrogen atom in the nth orbit is En=13.6n2eV. Draw the energy level diagram for the hydrogen atom and show transitions corresponding to lives of Lyman and Balmer series.

Solution
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Energy of electron in nth orbit of Hydrogen atom is given by En=13.6n2
So energy of electron in n=1 to n=6 is calculated as shown in the above figure.
E1=13.612=13.6 eV
E2=13.622=3.4 eV
and so on.
Lyman series is obtained in the hydrogen atom when an electronic transition takes place from n2=2,3,4,5,6,... to n1=1. Whereas, Balmer series is obtained in the hydrogen atom when an electronic transition takes place from n2=3,4,5,6,... to n1=2. These transition is also shown in the above diagram.
779459_772615_ans_a37133da1b8e44c3a8736c83163b4315.png

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