42. Why is there one line in the Lyman series that doesn\'t match a line in any
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42. Why is there one line in the Lyman series that doesn't match a line in any other series? 43. Why is there one line in the Balmer series that doesn't match a line in the Paschen series? 44. There is another series of hydrogen emission lines in the infrared called the Brackett series. Its first line is at 4050 nm. Assign quantum numbers to the transition corresponding to this line 45. Sketch a generalized electromagnetic spectrum, including labels corresponding to regions of the spectrum (e.g.,UV, visible). Indicate the locations of the Lyman, Balmer, Paschen, and Brackett series in the sketch. (If you're worried about the scale of your x axis, you can think of it as logarithmic!) 46. In a paragraph or two, compare and contrast the terms energy, energy level, transition, and spectroscopic line. Use the diagrams, fits, and models you developed to illustrate your response. 47. Using the diagrams, fits, and models you developed, answer the question, "What does the emission spectrum of the hydrogen atom reveal about its energy levels?" 48. What two quantum numbers would be involved in an emission transition with the same frequency as the Rydberg constant? What would happen to the electron in a ground level hydrogen atom if the atom absorbed this much energy? 49. The Franhofer C line in the solar spectrum is a dark gap where light is missing. Its wavelength is 656.3 nm. What is the cause of the gap? 50. The one-electron system He1 exhibits a pattern of emission lines similar to those of the H atom. Where would you expect the Balmer series for He to appear in the electromagnetic spectrum? Justify your answer using the Bohr model or the Schrödinger model of the hydrogen atom. 51. There is a small shift in the prominent red line for the heavy isotope of hydrogen known as deuterium. Does the line shift to the red or the violet? Justify your answer using the Bohr model or the Schrödinger model of the hydrogen atomExplanation / Answer
42. The spectral lines of hydrogen atom of Lyman series corresponds to the transitions of electrons from level n=1 to higher levels and then relax. In all other series, the lines correspond to transitions from levels of n>1 and their relaxations. Thus in all other series there is no line for the transition from and to n=1 which is exclusive to the Lyman series.
43. The Balmer series' lines arise from transitions from and to n=2 while the Paschen series corresponds to transitions from and to n=3. Hence while the Balmer series will have its lowest energy transition from and to n=2 to n=3, the lowest transition in the Paschen series will be from and to n=3 to n=4 and so the lowest transition of Balmer series is unique to that series and is absent in Paschen series.
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