Question

We are supposed to calculate (approximatly) what n level each hydrogen emission start at. We know they all end at 2. This is what I have got so far but I am stuck on how to apply the calculations for the n level. Help!

Table 2: Spectroscope Calibration
Hg λ	Scale
Violet: 404.7	4.4
Blue: 435.8	4.5
Green: 546.1	5.9
Yellow: 579.0	7.0

Table 3: H spectra
Color	Scale (x)	λ (nm)	n-level
Violet	4.2	409nm
Blue	4.4	422nm
Green	4.9	455nm
Red	5.8	515nm

Calculations
Energy of N levels	Wavelength using calibration curve	E	Equation 2	n-level
-2.18 x 10^-18J (1/3²) = -2.42 x 10^-19 J	Violet: 66(4.2) + 132 = 409nm	(6.63 x 10⁻³⁴)(3 x 10⁸)409 x 10⁻⁹= 4.86 x 10^-19	-2.18 x 10^-18J[(12²) - (13²)] = -3.03 x 10^-19
-2.18 x 10^-18 (1/4²) = -1.36 x 10-19 J	Blue: 66(4.5) + 132 = 422nm	(6.63 x 10⁻³⁴)(3 x 10⁸)422 x 10⁻⁹= 4.71 x 10^-19	-2.18 x 10^-18J[(12²) - (14²)] = -5.68 x 10^-20
-2.18 x 10^-18 (1/5²) = -8.72 x 10^-20 J	Green: 66(4.9) + 132 = 455nm	(6.63 x 10⁻³⁴)(3 x 10⁸)455 x 10⁻⁹= 4.37 x 10-19	-2.18 x 10^-18J[(12²) - (15²)] = -1.19 x 10^-20
-2.18 x 10^-18(1/6²) = -6.06 x 10^-20 J	Red: 66(5.8) + 132 = 515nm	(6.63 x 10⁻³⁴)(3 x 10⁸)515 x 10⁻⁹= 3.86 x 10^-19	-2.18 x 10^-18J[(12²) - (16²)] = -2.65 x10^-21

Figure 1 Spectroscope Calibration 700 600 500 400 300 200 100 0 0 2 4 7 Scale Slope: y 66x 132 r2 = 0.944