Sunday, December 11, 2011

Line Spectra Lab


Purpose:

The purpose of this experiment was to measure the wavelength of the spectra of the light emitted from an unknown gas and use the spectra to determine the gas.  A gradient of known attributes was used to see the spectra.



Method:

Two rulers were set up in an L shape and at the end of one of the rulers was a light source with the gradient at the front of the ruler.  To the right of the light source was another ruler that was used to measure how far the spectral lines appeared to be from the source when looking through the gradient.



The target of the experiment was to determine the wavelength of the light emitted from a gas lamp.  To determine this we used a trigonometrically derived equation.


Where d is the spacing between the slits of the diffraction gradient, D is the distance to the spectral lines from the source and L is the distance from the gradient to the source.  

with d being measured as 
d=1.6E-6 m

The first unknown gas was measured with the following data being compiled.

D (m) L (m) Wavelength (measured)nm Wavelength (actual)nm
Red 0.75 1.57 690 690
Yellow 0.61 1.57 589 580
Green 0.54 1.57 535 545
Violet 0.42 1.57 439 435


Next we measured the Hydrogen spectrum. 

D (m) L (m) Wavelength (measured) Wavelength (actual)
Red 0.7 1.56 655 656
Blue 0.49 1.56 495 486
Violet 0.43 1.56 447 434



Conclusion:

This method of determining the wave length of light emitted from an excited gas proved to be quite accurate and simple method.  As the excited electrons in the gas raise and lower in shells they release quantized energy that can be calculated through the wavelength of the light.  The data gathered fits well into the uncertainty of the experiment.

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