Problems are listed in approximate order of difficulty. A single dot (•) indicates straightforward problems involving just one main concept and sometimes requiring no more than substitution of numbers in the appropriate formula. Two dots (••) identify problems that are slightly more challenging and usually involve more than one concept. Three dots (•••) indicate problems that are distinctly more challenging, either because they are intrinsically difficult or involve lengthy calculations. Needless to say, these distinctions are hard to draw and are only approximate.
•• The spectral lines of atomic hydrogen are given by the Rydberg formula (5.4). Those lines for which n′ = 1 are called the Lyman series. Since n can be any integer greater than 1, there are (in principle, at least) infinitely many lines in the Lyman series, (a) Calculate the five longest wavelengths of the Lyman series. Mark the positions of these five lines along a linear scale of wavelength, (b) Prove that the successive lines in the Lyman series get closer and closer together, approaching a definite limit (the series limit) as n → ∞. Show this limit on your plot. What kind of radiation is the Lyman series? (Visible? X-ray? etc.)
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.