Question

(a) The energy levels of a hypothetical hydrogen-like atom are shown in the figure. Find out the transition, from the ones shown in the figure, which will result in the emission of a photon of wavelength 275nm.

(b) Which of these transitions corresponds to the emission of radiation of (i) maximum and (ii) minimum wavelength? 

Answer 1

(a) The energy of photon of wavelength (275nm) in terms of eV can be given as

The energy of photon in transition B ΔE =[0eV-(-4.5eV]= 4.5eV. 

Hence transition ‘B’ is possible. 

(b) The wavelength of the photon in a transition is given by λ = λ_c/ΔE 

(i) Maximum wavelength of photon is possible for transition having minimum ΔE, so transition ‘A’ is possible with ΔE= 2eV. 

(ii) Minimum wavelength of the photon is possible for transition having maximum energy difference. So transition D is possible with ΔE= 10eV.