The ratio of the wavelengths of the light absorbed by a Hydrogen atom when it undergoes n =2 n =3 and n =4 n =6 transitions, respectively, is

Step-by-step solution

1 = RZ ^2 ( 1 n ₁^2 - 1 n ₂^2 ) For 2 3 1 ₁ = R (1)^2 ( 1 2^2 - 1 3^2 ) (1) For 4 6 1 ₂ = R (1)^2 ( 1 4^2 - 1 6^2 ) (2) Divide (1) & (2) aligned & ₂ ₁ = 1 2^2 - 1 3^2 1 4^2 - 1 6^2 & ₂ ₁ = 4 1 & ₁ ₂ = 1 4 aligned