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Question

Chemistry Question on Developments Leading to the Bohr’s Model of Atom

What is the maximum number of emission lines when the excited electron of a H atom in n = 6 drops to the ground state?

Answer

When the excited electron of an H atom in n= 6 drops to the ground state, the following transitions are possible:

excitation of electron of H atom from n= 6 drops to the ground state

Hence, a total number of (5 + 4 + 3 + 2 + 1) 15 lines will be obtained in the emission spectrum.
The number of spectral lines produced when an electron in the nth level drops down to the ground state is given by n(n1)2\frac {n(n - 1)}{2}.
Given, n= 6
Number of spectral lines = 6(61)2\frac {6(6-1)}{2} = 15