Question

the hydrogen atoms in the ground state is excited by means of monochromatic radiation of wavelength x A The resulting spectrum consists of 15 different lines calculate value of x

Answer 1

Since the number of different lines is 15, the excited state must be n = 6. As only then the number of lines in Lyman = 5, Balmer =  4, Paschen = 3, Brackett = 2, Pfund = 1. Sum of those different lines = 5 + 4 + 3 + 2 + 1 = 15.

frequency  = 

 

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