E2 v X V fx wavelength (mm) A B C D E F 1 Substance 2 Hydrogen colors angle (degrees) angle (radians) wavelength (mm) Wavelength (nm) W Magenta 0 0 0 0 4 Faint Magenta 14.9 0.257132793 0.000428555 428.5546553 UT . Teal 16.8 0.289031797 0.00048172 481.7196616 Red 22.9 0.38912395 0.00064854 648.5399169 8 Mercury colors angle (degrees) angle (radians) wavelength (mm) wavelength (nm) purple 15.5 0.267238376 0.000445397 445.3972935 10 faint green 16.3 0.280666709 0.000467778 467.7778482 11 bright green 19.2 0.328866647 0.000548111 548.1110779 12 yellow 20.5 0.350207381 0.000583679 583.6789688 13 yellow 20.7 0.353474844 0.000589125 589.1247396 14 red 23.6 0.400349033 0.000667248 667.2483876 15 16 Unknown Colors Angle (degrees) angle (radians) Wavelength (mm) wavelength (nm) 17 Orange 0 0 0 0 18 Bright yellow 20.8 0.355106962 0.000591845 591.8449373 19 faint yellow 20.9 0.356737999 0.000594563 594.5633322 20 red orange 21 0.35836795 0.00059728 597.2799159 21 faint red 21.8 0.371367836 0.000618946 618.9463926 22 red 22 0.374606593 0.000624344 624.3443224 23 24 25 d 0.001666667Analysis 1. Mercury Spectrum For each of the mercury lines observed, calculate a value for the grating spacing d from the grating equation, dsin 9m : A . Note we set in = 1 since we are only using the rstorder spectrum Tabulate your results. Calculate an average value (and error using the standard deviation!) of r}. and compare it with the value obtained from the manufacturer's lines/ mm printed on the grating. In subsequent analysis, use your average value of d, not the 111anufacturer's. 2. Hydrogen Spectrum (a) For each of the hydrogen lines. in both orders= calculate the wavelength using your pre viously determined value of d. and the grating equation. Present your results in tabular form. lompare your wavelength values with the accepted values. Be careful about the number of significant gures you report in your results. Is the number consistent with the errors in the measurement process? Comment 011 these errors. (b) Include your answer to the question posed in part of the procedure. 3. Unknown Source From your examination of the spectrum chart5 what is the most likely gas in your unknown source? Are there two that it could be? 2That is, even I don't know which tube has which sample unless I tested it myself! 15 [Optional]: If you want to be more quantitative, tabulate your results for the wavelengths of the lines in your unknown and compare these wavelengths with the accepted values from wavelength tables. You can go to http: f/astro .u-strasbg. frlvkoppen/dischargel' to see such tables. Note that if you look at a given \".txt*7 le for a spectrum on that site, the left column gives the wavelengths in angstroms (A) not 11111 as we are using. Remember that I nm 2 10 A. Mercury Spectrum Hydrogen Spectrum lolor Wavelength (inn) Color Wavelength (nm) Red 690.725 671.62 Red 656.21 Orange 623.44 Yellow (doublet) 579.07= 576.96 lreen 546.07 Bluegreen 491.61 Bluegreen 486.07 Violet 435.83 Violet 434.01 Violet 404 .66 Violet 4 10.1 2