Question

What is the emission wavelength for an electron falling from the vacuum level (n=∞) to the lowest energy level in a hydrogen atom? Use the Rydberg equation and the numerical values for the Rydberg constant R_h given above. In which part of the electromagnetic spectrum is this?

RH =2.17868891 x 10^–18 J = 1.09677759 x 107 m^–1

Answer 1

wavenumber = 1.09677759 * 10^7 (1/n1^2-1/n2^2)

                    = 1.09677759 * 10^7*((1/1^2)-(1/infinity^2))

                    = 1.09677759 * 10^7   m-1.

wavelength = 1/wavenumber = 1/(1.09677759 * 10^7) = 9.12*10^-8 m

                  =   91.2 nm

present in Ultraviolet region.