Question

Lab Report Calculations for The spectrum of Hydrogen - Physics

i Belum mm The Spectrum of Hydrogen Purpose: Determine the key beng constant wavelenghts of H-spectrum lines in the Buliner serits A) Balmer Series of H-spectrum Lines B) Measuring Considerations 3646,14 n=3 Rydbery generalization d= Sint-ma (diffraction grating ni dalla Å - Angstrem Igrave n', n = 1, 2, 3.. 1Å = 10 10 n = 2 Balmer series 295.2 = 10 cm use to getermine R=? Graph -0.1 nm A-from measurements (n-assigned by comparison of A Buliner the checks Rydberg eq, R = - slope=? Raat 109737 cm Num) x 10 che la X (cm) 1 2 = wave number! a-decimal Jeh le: 2 (0%) <0%> 10:=40*9 ta sino Arum Nâ) er met ons gerne har en la cm) RAW DATA : t. =130°00' measured D = arc degreest 8 144 00 144°03' 144°03' 144°02 14.02 are minutes (cecimal fraction 8 14453 144 53' 144055 ß 14640 146 45' 146°43' e.g. 15° 12 = 15.2° 152° 55' 115300' 153°00' m-diffraction order m=2 = sine 2X295.2 Xrum) x 10 h Xam) x 104 ) Alom vs 1 Irshan Inz tarc minutes 60 of are degree 2

Answer 1

Using the given formula for λ(mm)=(d sinθ )/m =sinθ/(2*295.2)

and λ(nm) = 10⁶ * λ(mm)

And comparing this wavelength with λ(balmer)=3646.14*(n²/(n²-4)) Angstrom to get the value of n, the table fills out as:

1/ện*n) 1/ (cm) 6 0.027778 24359.86 8 Y 01 02 A3 Oi=0-00 sin(Oi) A(nm) MA) Nearest Abalmer n 144 144.05 144.05 144.0333 14.03333 0.242366 410.5113 4105.113 4101.9 144.88 144.88 144.92 144.8933 14.89333 0.256893 435.1169 4351.169 4340.64 146.66 146.75 146.72 146.71 16.71 0.287386 486.765 4867.65 4861.52 152.92 153 153 152.9733 22.97333 0.390116 660.7647 6607.647 6563.05 5 0.04 22982.33 B 4 0.0625 20543.79 3 0.111111 15133.98 a

Now, the plot of 1/n² vs 1/λ(cm)

1/n2 vs 1/1(cm) 30000 25000 20000 1/(cm) 15000 y = -110573x + 27428 10000 5000 0 0 0.02 0.04 0.06 0.08 0.1 0.12 1/n?

The slope comes out to be -110573.

Now, the negative of slope gives the Rydberg Constant.

so R=110573 cm^-1

Actual value of Rydberg constant =109737cm^-1

%error = {|(110573-109737)/109737|}*100=0.76%