9. Calculate the deBroglie wavelength of the electron in a singly ionized helium atom when it is orbiting in the following state: n = 1. nm 50 ssf60 ss²² ssf60 ssfot 60 ssf60 s? ssf60 ssfo

3:09 O O O 63° A X • N N O 5G „ll Quizzes a (absorption) Brackett series Paschen series Lyman series (emission) Balmer series Paschen series (emission) n= 2 n=3 n=4 .... Lyman series n-5 (a) (b) e These pictures refer to the energy levels of a hydrogen atom. You can find the error in both parts, (a) and (b). The arrows labeled "emission" in (a), and all the arrows in (b), indicate a transition in which an electron jumps from a higher- energy state to a lower-energy state. The different "series" of emission lines are characterized by the index n of the low- energy state in which the electron ends up. In particular, the Lyman series consists of all transitions that end up in the n=1 energy level, with an initial energy level that corresponds to the label n = 2, 3, 4, 5, etc. One of these values of n is not shown as an arrow in the Lyman emission series in figures (a) or (b). This is a significant error because that particular spectral line is very important in astronomy. Pick the value…

18. Doubly-ionized lithium (Z = 3) undergoes a transition from the n = 2 to the n = 1 state by emission of a single photon. The photon is absorbed by a system constructed of an electron in a one-dimensional harmonic oscillator potential that is initially in its ground state. What are the two largest possible values of the characteristic frequency wo of the harmonic oscillator that absorbed the photon?

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