For which of the following systems is the wavelength associated with the transition from n = 2 to n = 1 the minimum?

Step-by-step solution

The wavelength of a spectral line for a hydrogen-like species is given by the Rydberg formula: 1 = R_ H Z² ( 1 n₁² - 1 n₂² ) For the transition from n = 2 to n = 1 , n₁ = 1 and n₂ = 2 . Thus, the formula becomes: 1 = R_ H Z² ( 1 1² - 1 2² ) = 3 4 R_ H Z² From this relation, it is clear that 1 Z² . To obtain the minimum wavelength, the atomic number Z must be maximum. For doubly ionized lithium ( Li²⁺ ), Z = 3 . For singly ionized helium ( He⁺ ), Z = 2 . For deuterium atom ( D ), Z = 1 . For hydrogen atom ( H ), Z =