Physics307L:People/Trujillo/LAB NOTEBOOK/071121

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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.

calibration data
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. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle real\,wavelength=1.204205321\times measured\,value-76.8339591}

Hydrogen Sepctrum

Hydrogen spectum measurements and rough calculations
color Measured Value Actual Wavelength (nm) Actual Wavelength (m) 1/wavelength n Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle 2^{-2}-n^{-2}} 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=Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle 1.1061*10^{-7}} STDV Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle 4.6*10^{-10}}

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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle actual\,wavelength=(1.204205 \pm 0.042636)*measured\,wavelength-(76.833959 \pm 22.932003)nm} .