Question

Can someone please explain these two, Thanks!

1 1 The wavelength of the four Balmer series lines for hydrogen are found to be 410.4, 434.3, 485.9, and 656.5 nm. What average percentage difference is found between these wavelength numbers and those predicted by = RI )? It is amazing how well a simple formula (disconnected originally from theory) could duplicate this phenomenon. X % + Additional Materials

Answer 1

Rydbarg constant = 1:0973 x 104 in! For ist line Z 1 t = 1.0973x10 [ + ] in X = 6.565710 6.5615x107m. = 656 15 nm. . The 7 of diffence = 656.5 - 656.15 --0534. for and line À = 1.0973x107 [t = 4.8604x107 x 100 657.5 16 m is 486.04 nm % of diffence 486.04-485.9 485.9 1.029% secor Third line = 1.0973x10 w = 4.33965410 = 433.96 nm. % of change 434.2-433.96 43412 x100 7:0551 7 1 36 for fourth line 21.0973x10 = 4.10097x107m = 410.097 mm 7. of change = $10.4 - 410.097 x1007 410-4 = 0738%.

The Avenge percentage diffence 0.053 + 0.029 + 0.055 +0.0738 4 Average f. diffence 052714