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Data: Step 4: g= 5276 Lines/ cm Step 6: 20 cm Step 8: y =0 red line Step 9: y=0 blue line Step 10: Wavelength=

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Data: Step 4: g= 5276 Lines/ cm Step 6: 20 cm Step 8: y =0 red line Step 9: y=0 blue line Step 10: Wavelength= 650 nm Step 11: both side was at 7. 5 cm that it was spliting Step 13: Location D slit Expected value of the distance between slits Step 14: distance 54 cm Step 15: Distance 33 cm Step 16: Region E expected value of distance Distance: 44 cm the two centers of viewing Distance of diffraction plate and viewing screen: 30 cm Step 17: Location A the expected vale of the lateral width is Step 18: Width distance 1.6 cm Distance: 54 cmStep 19: Expected value of lateral width is Width distance 2 cm Distance 51 cmCalculate the expected value of the distance between slits, d, for the diffraction grating using the value of g you recorded in step 4. Use the values for D and y that you recorded for the red portion of the first order spectrum, when using the diffraction grating, to determine the angle, o , at which this constructive interference occurs (Eq. 4). Look up an appropriate value for the wavelength of the center of the red portion of the spectrum and use it with your data and Eq. 3 to calculate a value for d, the spacing between the slits. Repeat the last two calculations using the data recorded for the blue portion of the first order spectrum. Calculate a mean value for the distance between slits of the diffraction grating using the results of the red and blue data. This is your experimentally-determined value of d. Use the data gathered for the laser light through the diffractions grating in steps 10 and 11 and the expected value of the distance between slits you calculated at the start of this Data Analysis section to calculate a value for the wavelength of the laser light. Moving on to the double-slit experiments, use the values for D and y that you recorded for the laser light passing through region D of the diffraction plate in steps 14 and 15 to determine the angle, 0 , at which the first-order (m = 1) constructive interference occurs (Eq. 4). Use the results of the previous calculation and the expected wavelength of the laser light that you recorded during the lab to calculate the spacing between the slits, d, in region D. Repeat the last two calculations for the data from region E in step 16.Moving on to the single slit experiments, use the width of the central bright region that you recorded for region A to find the distance, y, of the first-order destructive interference location from the center of the central bright region (steps 17 and 18) . Accomplish this by dividing the width of the central bright region by 2. Use this value of y and the distance from the diffraction plate to the screen that you recorded in Eq. 4 to find the angle at which the first-order destructive interference occurs. Then use these results and the expected wavelength of the laser light to calculate, w, the lateral width of the slit in region A. Repeat the previous calculations using the data in step 19 to find, w, the lateral width of the slit in region B

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