calculate the wave number of the spectral line of shortest wavelength appearing in the bolmer series of hydrogen spectrum given R=1.09x107/m
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According to Balmer formula
v,=1/λ= RH={1/n^2°1-1/n^2°2}
For the Balmer series, ni = 2.
Thus, the expression of wavenumber(ṽ) is given by,
Wave number (ṽ) is inversely proportional to the wavelength of transition. Hence, for the longest wavelength transition, ṽ has to be the smallest.
For ṽ to be minimum, nf should be minimum. For the Balmer series, a transition from ni = 2 to nf = 3 is allowed. Hence, taking nf = 3,we get:
ṽ= 1.5236 × 106 m–1
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