Brush_Table02_Prelab10 - Erin Brush Prelab 10 Diffraction...

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Erin Brush Prelab 10: Diffraction Gratings 1. [3 points] Given a diffraction grating with 300 lines per mm, what is the spacing d between lines? Assuming that the lines in the grating are manufactured with a tolerance of 1%, what is the estimated uncertainty in the line spacing d? d = 1 line 300 line / mm = 3.33 10 3 mm δ d = 3.33 10 3 mm 0.01 = 3.33 10 5 mm 2. [3 points] A laser with unknown wavelength is transmitted through the grating described in Exercise 1. The sine of the opening angle, sinθn is determined for the n=-3, -2, -1, 1, 2, and 3 maxima lines. Refer to Equation 3.1: d sin(θn) = nλ. (3.1) What should be plotted to determine the wavelength λ of the laser from a straight-line fit of the data? Explicitly show how the parameters of the fit will be used to find λ and its estimated uncertainty δλ.
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