What is the shortest wavelength in the balmer series

The largest energy release will take place when the electron jumps between the greatest number of levels. In this case from infinity down to 2 

This is the emitted photon with the most energy ( in the Balmer series), the highest frequency and therefore the shortest wavelength. 

Balmer's original formula was 

Wavelength = 3645.6 . 10^–10 ( n^2 / (n^2 – 4) ) 

When n => infinity 

Wavelength = 3.6456 . 10^–7 m ( or 364.5 nm)

balmer series is in the second
excited level where Nfinal=2.the equation is 1/lamba=R[1/2^2-1/(Ni^2]where Ni=ninitial=3,4,5...and the series is involved in the uv- visible region.

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