Analysis (8 pts): 1) The distances of the peaks from the central peak in the single-slit diffraction/interference patter

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Analysis 8 Pts 1 The Distances Of The Peaks From The Central Peak In The Single Slit Diffraction Interference Patter 1 (53.41 KiB) Viewed 39 times

Analysis 8 Pts 1 The Distances Of The Peaks From The Central Peak In The Single Slit Diffraction Interference Patter 2 (57.83 KiB) Viewed 39 times

Analysis 8 Pts 1 The Distances Of The Peaks From The Central Peak In The Single Slit Diffraction Interference Patter 3 (38.63 KiB) Viewed 39 times

Analysis (8 pts): 1) The distances of the peaks from the central peak in the single-slit diffraction/interference pattern are given by equation (5) above. By plotting y versus m, we should obtain a straight line whose slope is equal to AL/a. Make a plot of ym versus m, fit a straight line to the data points and obtain the equation of this line. Note that the intercept is not equal to zero. From the slope find the wavelength, A, of the laser beam. 2) The distances of the peaks from the central peak in the double-slit diffraction/interference pattern are given by equation (3) above. By plotting ym versus m, we should obtain a straight line that passes through the origin. The slope of the line is equal to AL/d. Make a plot of y versus m, fit a straight line to the data points and obtain the equation of this line for the first double-slit pattern. From the slope, find the wavelength of the laser light. 3) Repeat the above for the other two double-slit patterns. Questions (4 pts): 1) How do the values of the wavelength of the laser light you obtained from your measurements compare with the manufacturer value of 660 to 680 nm? 2) Which pattern, single-slit or double-slit, gives a more accurate determination of the wavelength or do they both give equally accurate values? Defend your answer. 3) From your superimposed single and double slit patterns, what can you conclude about the influences of the slit width, and the slit separation, on the double slit pattern? III
Data Sheet 0-4 Experiment O-4: Double-Slit and Single-slit Diffraction Instructor's Initials Date: Name: Partner: 4) Single-Slit Measurement Distance between the double slits and the light detector, L- 34.3.cha Single slit width a = 0.04 mm. Make sure that your data below has at least 4 decimal places. Order Number m Position of First Position of Second Value of ye (m) Peak (m) Peak (m) 1 -0.074 -0.058 0.008 2 0.080 0.053 0.0135 3 -0.85 -0.047 0.019 5) Double-Slit Measurement Keep distance between double slit and light detector L the same as in part (4) above. Value of y (m) Remember that the following measurements must have at least 4 decimal places. Slit set # 1: a0.04 Position of First mm, d= 0.25 mm Peak (m) Order number m = 1 -0.067 Order number m=2 -0.068 Position of Second Peak (m) Right -0-066 0.0005 -0.045 0.0015 Order number m = 3 -0.069 -0.064 00025 Order number m-4 -0.070 -0.063 0.0035 Order number m=5 -0.071 -0.062 0.00 45 0 00SS Order number m= 6 -0.072 -0-061 6) Double-Slit Measurement with different double slits Remember that the following measurements must have at least 4 decimal places. Slit set # 2: a 0.04 Position of First Position of Second Value of y(m) mm, d-0.50 mm lett Peak (m) Right Peak (m) -0.067 Order number m=1 0.0005 Order number m = 2 -0.067 0.001 Order number m-3 0.068 0.0015 Order number m= 4 -0.068 0.002 0.069 0.00 25 Order number m=5 Order number m=6 -0.069 0.003 -0.066 -0.065 -0.065 -0.064 -0.064 -0.063 Data Sheet 0-4 11
Value of ym (m) 0.001 0.002 0.003 0.004 Position of First Position of Second Slit set # 3: a = 0.08 mm, d= 0.25 mm Order number m = 1 Order number m = 2 Peak (m) Peak (m) Right Left -0.067 -0.065 -0.068 -0.064 Order number m = 3 Order number m = 4 -0.069 0.063 -0.070 -0.062 Order number m = = 5 -0.071 -0.061 0.005 0.006 Order number m= 6 -0.072 -0.059 Include the three printouts of your data showing the single-slit data superimposed with a double-slit pattern.