# Calculate the shortest wavelength in the Balmer series of hydrogen atom

#1

Calculate the shortest wavelength in the Balmer series of hydrogen atom. In which region (infrared, visible, ultraviolet) of hydrogen spectrum does this wavelength lie?

#2

Since, we know that for Balmer series,

For shortest wavelength in Balmer series, the spectral series is given by

1/$\lambda$ = R x 1/4
1/$\lambda$ = R/4
$\lambda$ = 4/R
$\lambda$ = 4 / 1.097 x ${{10}^{7}}$
$\lambda$ = 3.64 x ${{10}^{-7}}$ m
The lines of Balmer series are found in the visible part of the spectrum.