In Part 1 of the lab you will predict the location of diffraction maxima from a

Question

In Part 1 of the lab you will predict the location of diffraction maxima from a diffraction grating, and then check your predictions with a measurement. This question will lead you through those predictions.

A diffraction experiment is setup as shown in the diagram below. The distance D between the grating and the screen is 350 mm. The laser has a wavelength of 632.8 nm.

1. If the grating has 300 lines/mm, what is the line spacing d? (Units required.)

2. Predict the angles to the m = 1 and m = 2 diffraction peaks using the equation dsin%u03B8 = m%u03BB. (Radian or degree units required.)

3. Predict the distances 2x1 and 2x2 between the two first-order and two second-order diffraction spots. (Units required.)

NOTE: In the lab your value of D will probably be different, so you will need to adjust your prediction to suit your actual setup.

Explanation / Answer

a)

d = 1/300 mm = 0.00333333e-3 m

y2 - y1 = 2L%u03BB/d - L%u03BB/d = L%u03BB/d = 350e-3*632.8e-9/0.00333333e-3 =0.0671151m

b)

%u03B81 = %u03BB/d = 632.8e-9/0.00333333e-3 = 0.18984 rad = 10.9 degrees

%u03B82 = 2%u03BB/d = 2*632.8e-9/0.00333333e-3 = 0.18984 rad = 21.8 degrees

c)

2x1 = 2L%u03BB/d = 2*350e-3*632.8e-9/0.00333333e-3 = 0.1326 m

2x2 = 4L%u03BB/d = 4*350e-3*632.8e-9/0.00333333e-3 = 0.2652 m

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