22. Explain why each of the following sets of quantum num- bers (n, l, m,, m,) is not permitted for hydrogen. (a) (2, 2, -1, +1/2) (b) (3, 1, +2, -1/2) (c) (4, 1, +1,-3/2) (d) (2, −1, +1, +1/2) 3
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- 8-1. Show that the atomic unit of energy can be written as ħ² e² ma Απερβο En = me 16π εjht1. Consider an object comprising two small metal pellets located at (x,y) = (2,0) and (2,2) and a piece of wire stretched straight between (0,-2) and (0,0). (a) Sketch this object. (5 pts) Assume N photons are fired at each lateral position xr in parallel-ray configuration. For simplicity, assume that each metal object stops (1)/(2) the photons that are incident upon it no matter what angle it is hit. (b) Sketch the number of photons you would expectList all the possible quantum numbers (n,l,me) for the n = 5 level in atomic hydrogen.