How many states correspond to the n = 5, l = 4 level of hydrogen?   Question 3 options:   7   9   14   16   18

How many electrons can be held in a d-sub shell at a maximum? Options are A. 6 B.10 C.8 D.14 E.2

Infrared light with a wavelength of 1870 nm is emitted from hydrogen. What are the quantum numbers of the two states involved in the transition that emits this light?

Schematic of the n=3 → n=2 transitions that may occur when a hydrogen atom is placed in a magnetic field B. Ignore the effect of electron spin.

11. The Hamiltonian for an electron in a hydrogen atom subject to a constant magnetic field B is given by H = e2 p² 2me Απεργ e + (L+2S). B 2me where L and S are the angular momentum and spin operators respectivelyr. Assume the magnetic field points in the z-direction. (a) How many distinct energy levels will the n = : 3 state have? = = 3,1 = 2) → (n = 2,1 = 1). Find the energy of the (b) Consider the line corresponding to the transition (n emitted photons (hw AE, with AE = the energy difference between initial and final state), assuming the possible transitions are constrained by the selection rule Am = 0,±1.

7. For the 3p and 3d states of hydrogen, show that (-) avg =1/1290. ao. n²

Two fo the wavelengths emitted by a hydrogen atom are 102.6 nm and 1876 nm. Whare are the Balmer formula n and m values for each of these wavelengths?