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4 Pages

### Lab 4 grating

Course: PHYSICS 1A+1B, Fall 2010
School: Laney College
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Word Count: 708

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Gratings Instructor: Pro. Lab4 Diffraction Tsai Jiajie Huo(Jacky) Member: Yao Bin Yu Zeyuan (Seth) Guan 1. introduction. In this experiment, we are generally focusing on information about inference and diffraction. 2. Procedure. a. In section 1, we align the diode laser and shine it through one of the one- slit gratings on the 3*5 grating plate. Then we choose the 7th bright spots and the distance from the...

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Gratings Instructor: Pro. Lab4 Diffraction Tsai Jiajie Huo(Jacky) Member: Yao Bin Yu Zeyuan (Seth) Guan 1. introduction. In this experiment, we are generally focusing on information about inference and diffraction. 2. Procedure. a. In section 1, we align the diode laser and shine it through one of the one- slit gratings on the 3*5 grating plate. Then we choose the 7th bright spots and the distance from the central maximum l=1cm. In Q1, we did the sketch pattern on the graph paper. The orders we are seeing aroused from both interference and diffraction. In Q2, we got the experimental width of it was d=0.11mm, while the real width of it was do=0.088mm, so the difference of them is 25%. In Q3, we predicted that when the spectrum would spread out when the width of the slit decrease and spectrum would be condense when the width of the slit increase. We changed the width of the slit to d0=0.176mm and the experimental one was d=0.228mm, so the difference was 29.5%. In Q4, the prediction was correct because when we increased the width of the slit, the spectrum would be condense. b. Then we shine the laser through a double-slit grating. In Q5a, we sketched spectrum from the double-slit and the graph of the intensity of light vs distance from center of the screen. The experimental slit separation was 0.185mm, the real slit separation was 0.175mm, so the difference of them was 5.7%. In Q5b, we predicted that spectrum would spread out when the slit separation decreased and spectrum would be condensed when the slit separation increased. We used the double-slit grating with slit separation of 0.35mm, and the experimental slit separation was 0.31mm, so the difference was 11.4%. In Q6, the prediction was correct. c. We shined the laser through several two-slit gratings until we saw one with a clearly missing order. We record the slit separation d was 1.35cm and it was the 5th dark spot and 11th bright spot. In Q7a, the ratio of a/d is 5/11. In Q7b, the ratio of the slit separation and width we used was 2:1, the constructive and maxima diffraction minima should be at the point where the n:m was 2:1, so the difference of the experimental and real ratio is 10%. In Q8, we got the wave length of the laser is 4789A, so its difference with the real number was 25%. d. Then we held the high-quality transmission grating in front of our eye and looked at a white light source. We could see the spectrum. In Q9, the reason we saw the rainbow spectrum is a diffraction grating spreads out light into its component wavelength. In Q10, according to the theory, the peak separation length of the light vary according to its wavelength, so the bright peaks of different wavelength located in different places, they are widely spaced. 4. Data Sheet Attached. 6. Discussion and conclusion. In this experiment, we have four sections. First, we shined the laser through a one- slit gratings, and got the experimental width of it was d=0.11mm, while the real width of it was do=0.088mm, so the difference of them is 25%. The prediction we made: when the spectrum would spread out when the width of the slit decrease and spectrum would be condensed when the width of the slit increase was correct. Second, we shined the laser through a double-slit grating, we got the experimental slit separation was 0.185mm, the real slit separation was 0.175mm, so the difference of them was 5.7%. And the prediction was proved too. Third, we shined the laser through several two-slit gratings until we saw one with a clearly missing order and it was the 5th dark spot and 11th bright spot. Then we got the wave length of the laser is 4789A, so its difference with the real number was 25%. Fourth, we could see the rainbow spectrum. During the experiment, the major errors we would came across would be as follow: first, we shined the laser through a one or two slit gratings, the points appeared on the screen were too closed and too small, which were very hard to measure. Second, there were always the systematic errors existing in the whole experiment because we had used approximation method.
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