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for which aperture was the spacing between successive maxima greater, and would your answer change if the laser light had been green instead? golf-acbn L03
for which aperture was the spacing between successive maxima greater, and would your answer change if the laser light had been green instead?
golf-acbn L03 1. Set up the laser at one end of the optical bench and the screen a 2_ Record the labeled wavelength of the laser. 3_ Place the Multiple Slit Disk just in front of the laser 4. Measure the distance L from the disk Fto the screen. PART A . . _ 5. Select the double slit aperture labeled 0 08 I 0. 25. ThIs means that the ants are d 5 0.25 mm apart and the width of each slit is a = 0.08 mm. 6 Measure the distance between the two m- - 10 maxima on either side of the central maxima 7. Measure the distance between the two m = 15 maxima on either side of the ceMimil 8 Divide these distances by two to get the distance from the center to the maxima. 9 Count how many maxima appear within the central diffraction envelope. 10 Repeat steps 6 through 9 using the 0.08 / 0.50 aperture. This means that the slits are d = 0.50 mm apart and the width of each slit is a 0.08 mm. Distance from slit to screen (L): HO 5 g M Wavelength of laser - 45___O_____ l d 050...... -m -15 Distance between Maxima m 51;an Distance in envelooe envel0ae PARTB 1 1. Select the H l 1 comparison aperture by Votating the disk The slit widths for this aperture are 0.04 mm and the double slit' Is separated by 0.25 mm. 12 Measure and record the distance beta/(zen the two m - 1 minima of the single slit diffraction pattern. This is the width of the central maximum ACM. Distance between Maxima rn Distance m J B c; ACM: ' ' C'fr 13. Measure the distance between the two m = 5 maxima on either side of the central maximum of the double slit diffraction pattern. A5. A5 = \\l I C i In. 14. The double slit diffraction pattern shows maxima with decreasing brightness as m increases; '(M-hw there is a \"fringe" with minimum brightness, and then the brightness Increases as m continuesi increase Measure the distance between the two min diffraction pattern Am imally bright fringes In the double slit 4:11:92 g m 1. For the 0.25 mm separation distance in Part A determine the angle to the m=10 maximum and the angle to the m=15 maximum. Show your work. 2. For the 0.50 mm separation distance in Part A determine the angle to the m=10 maximum and the angle to the m=15 maximum. Show your work. 3. For each of the angles you calculated in #1 and #2, calculate the experimental wavelength of the light emitted by the laser (4 total calculations). Show your work. 4. Calculate the percent difference in the experimental determination of the wavelength of the laser (using the average of your four values from #3). 5. For which aperture was the spacing between successive maxima greater, and would your answer change if the laser light had been green instead? Use the equations we have developed to explain your answer. 6. For Part B, use the measured width of the central maximum of the single slit diffraction pattern Acm and the average experimental wavelength to calculate an experimental slit width. Compare this value to the given value using percent difference. 7. For Part B, use the measured distance between the fifth-order maxima of the double slit diffraction pattern As and the average experimental wavelength to calculate an experimental slit separation. Compare this value to the given value using percent difference. For Part A, how many double-slit maxima should appear within the central diffraction envelope for the two apertures? Hint: consider the angle to the first-order minima of the single-slit pattern as the boundary for the central diffraction envelope of the double-slit patternStep by Step Solution
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