The wave numbers of three spectral lines of H atom are considered. Identify the set of spectral lines belonging to Balmer series. ( R = Rydberg constant)

Step-by-step solution

For the Balmer series, transitions end at n=2. Using the Rydberg formula = R ( 1 2^2 - 1 n^2 ) = R ( 1 4 - 1 n^2 ) , we calculate wavenumbers for transitions from different upper levels: From n=3: = R ( 1 4 - 1 9 ) = 5R 36 From n=4: = R ( 1 4 - 1 16 ) = 3R 16 From n=5: = R ( 1 4 - 1 25 ) = 21R 100 Option (4) contains exactly these three wavenumbers corresponding to the Balmer series transitions.