Physics307L F09:People/Trujillo/LAB NOTEBOOK/071121
CALIBRATION
We used Mercury to calibrate** Tomas helped me understand why exactly why calibration was important. It was easier to realize what was going on once we put all the numbers in Excel.
We measured the wavelength with the cross hairs as close to the center of the slit as possible rotating the knob clockwise.
| color | actual wavelength | measured wavelength |
|---|---|---|
| red | 690.75nm | 634nm |
| yellow | 579nm | 545nm |
| yellow | 577nm | 542nm |
| green | 546.1nm | 525nm |
| violet | 435.8nm | 422nm |
With help from Excel, the calibration curve gives. [math]\displaystyle{ real\,wavelength=1.204205321\times measured\,value-76.8339591 }[/math]
Hydrogen Sepctrum
| color | Measured Value | Actual Wavelength (nm) | Actual Wavelength (m) | 1/wavelength | n | [math]\displaystyle{ 2^{-2}-n^{-2} }[/math] | Rydberg Constant |
|---|---|---|---|---|---|---|---|
| red | 604 | 650.5060546 | 6.50506E-07 | 1537264.708 | 3 | 0.138888889 | 1.1068306E+07 |
| blue green | 466.5 | 484.927823 | 4.84928E-07 | 2062162.558 | 4 | 0.1875 | 1.0998200E+07 |
| violet | 421 | 430.1364809 | 4.30136E-07 | 2324843.496 | 5 | 0.21 | 1.1070683E+07 |
| faint violet | 400.2 | 405.0890102 | 4.05089E-07 | 2468593.259 | 6 | 0.222222222 | 1.1108670E+07 |
Rydberg Constant=[math]\displaystyle{ 1.1061*10^{-7} }[/math] STDV [math]\displaystyle{ 4.6*10^{-10} }[/math]
CALCULATIONS
Below is our Excel file:
File:L and T Balmer series.xlsx Section above has numbers from the excel file.
Data Analysis
Linefit says the calibration data fits the line [math]\displaystyle{ actual\,wavelength=(1.204205 \pm 0.042636)*measured\,wavelength-(76.833959 \pm 22.932003)nm }[/math].
