Align the light source (laser diode: 650 nm on label) on an optical bench. Setup a white screen that is parallel with respect to the slit disk’s orientation. Measure the distance between the slit disk and the screen (this serves as the slit-to-screen distance d). Record the position of dark fringes on the screen using a pen or a pencil. Measure the distance ∆y1 between the first-order (m = ±1) minima and record this distance in Tables W1 and W2. Also measure the distance ∆y2 between the second-order (m = ±2) minima and record it in Table W2. Divide the distances between side orders by two (2) to get the distances from the center of the pattern to the first and second order minima (ym = 1 2 ∆ym). Record these values of ym in Tables W1 and W2.

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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How the data were collected:

Align the light source (laser diode: 650 nm on label) on an optical bench. Setup a white screen that is parallel with respect to the slit disk’s orientation. Measure the distance between the slit disk and the screen (this serves as the slit-to-screen distance d). Record the position of dark fringes on the screen using a pen or a pencil.

Measure the distance ∆y1 between the first-order (m = ±1) minima and record this distance in Tables W1 and W2. Also measure the distance ∆y2 between the second-order (m = ±2) minima and record it in Table W2. Divide the distances between side orders by two (2) to get the distances from the center of the pattern to the first and second order minima (ym = 1 2 ∆ym). Record these values of ym in Tables W1 and W2.

The data from the experiment is:

Single Slit Diffraction Experiment Data
Slit Width, a (mm) Δy_1 (cm) Δy_2 (cm) Δy_3 (cm)
0.02 2.80    
0.04 1.00 1.90  
0.08 0.45 0.90 1.45
0.16 0.20 0.50 0.70
Source-to-Slit Distance (cm): 3.00  
Slit-to-Screen Distance (cm): 27.00  
Laser Wavelength on label of diode(nm): 650  

THE QUESTION:
If m=1, calculate the y_1 values.

Slit width, a (mm) 0.02 0.04 0.08 0.16
Distance between side orders, Δy_1 (cm) 2.80 1.00 0.45 0.20
Distance between side orders, y_1 (cm)        
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