In a hydrogen spectrum if electron moves from 7 to 1 orbit by transition in multi steps then find out the total number of lines in the spectrum.

Solution:

Lyman = (n7 – 1) = 7 – 1 = 6

Balmer = (n7 – 2) = 7 – 2 = 5

Paschen = (n7 – 3) = 7 – 3 = 4

Bracket = (n7 – 4) = 7 – 4 = 3

Pfund = (n7 – 5) = 7 – 5 = 2

Humphrey = (n7 – 6) = 7 – 6 = 1

Total = 21

Total number of lines can be calculated as follows :

Total number of lines = = == 21

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