Explain Balmer's equation of the electron?

Question

v= [1/4 - 1/n^2] * 329x10^15 s^-1.

i want the explanation of the whole formula.

thankz for your time

Answer 1

Balmer discovered this by measurement back in the 19th century, but at that time nobody knew why atoms had line spectra, let alone why they have the values that they do.

Now we understand this as the energy of jumps between different quantum levels in a hydrogen atom, given by

E = (1/n1^2 - 1/n2^2) x constants (details in any textbook of the right level)

And, of course, E = h nu