Using the Rydberg formula calculate the wavelengths of the first four spectral lines in the Lymanseries of the hydrogen spectrum - Physics - Atoms

Question

Using the Rydberg formula calculate the wavelengths of the first
four spectral lines in the Lymanseries of the hydrogen spectrum

Satyendra Singh · Accepted Answer

the rydberg formula is:      hcλif = me48ε02h2 1nf2 -1ni2me48ε02h2 = 13
6 eV = 13 6 ×1
6×10-19 =  21
76×10-19 JTherefore,λif = hc21
76×10-19× 11 -1ni2λif =6
625×10-34×3×108×ni221
76×10-19×ni2-1     substituting the values of ni = 2
3 4 5we have,λ21 = 1
218 ×10-7mλ31 = 1
028 ×10-7mλ41 = 9
743 ×10-8mλ51 = 9 514 ×10-8m

Using the Rydberg formula calculate the wavelengths of the first four spectral lines in the Lymanseries of the hydrogen spectrum.