The wavelength of a spectral line emitted by hydrogen atom in the Lyman series is 16 15 R ~cm . What is the value of n₂ ? (R= Rydberg constant)

Step-by-step solution

For Lyman series, aligned 1 & =R [ 1 1^2 - 1 n₂^2 ] 15 R 16 & =R [ 1 1^2 - 1 n₂^2 ] 15 R 16 R & = [ n₂^2-1 n₂^2 ] 15 16 & = n₂^2-1 n₂^2 15 n₂^2 & =16 n₂^2-16 n₂^2 & =16 n₂ & =4 aligned