A doubly ionised Li atom is excited from its ground state (n=1) to n=3 state. The wavelengths of the spectral lines are given by ₃₂, ₃₁ and ₂₁ . The ratio ₃₂ / ₃₁ and ₂₁ / ₃₁ are, respectively

Step-by-step solution

1 =R ( 1 n₁^2 - 1 n₂^2 ) where R= Rydberg aligned & constant & 1 ₃₂ = ( 1 4 - 1 9 )= 5 36 & ₃₂= 36 5 aligned Similarly solving for ₃₁ and ₂₁ aligned & ₃₁= 9 8 and ₂₁= 4 3 & ₃₂ ₃₁ =6.4 and ₂₁ ₃₁ 1.2 aligned