Determine the wavelength of the radiation emitted by hydrogen during the transition from n = 3 to n = 2 .

Step-by-step solution

Using the Rydberg formula for the wavelength of emitted radiation: 1 = R_ H ( 1 n₁^2 - 1 n₂^2 ) For the transition from n = 3 to n = 2 , we have n₁ = 2 and n₂ = 3 . 1 = 1.097 10^7 ( 1 2^2 - 1 3^2 ) m ⁻¹ 1 = 1.097 10^7 ( 1 4 - 1 9 ) m ⁻¹ 1 = 1.097 10^7 ( 5 36 ) m ⁻¹ = 36 5 1.097 10^7 m 6.56 10⁻⁷ m = 656 nm