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(7) Measure and record the distance between the wire and the screen (L), as well as the uncertainty in L. (8) Examine your laser to determine the wavelength (A), and the uncertainty in this value.
1 2 3 4 5 6 7 8 9 10 11 A B Measured Quantities (hair) n 1 yn 0.01 L 1m A Measured Quantities (fur) n 1 yn 0.08 L 1 m A C Uncertainty Measures ση oyn ±0.1 OL +0.1 σλ Uncertainty Measures ση oyn +0.1 OL ±0.1 σλ D
90 100 70 80 60 40 50 Figure 7.2: Example of a diffraction pattern projected onto a printable ruler. To find the width of the wire: (4) Create a table like Table 7.1 to record your measurements. (5) Create a diffraction pattern. (6) Measure and record the distance from the center of the pattern to one of the dark fringes (y), and the order of the fringe (n). Note: In principle, you should be able to calculate the width of the wire by measuring y, and n for any of the fringes. However, your choice will affect the fractional uncertainty in y, Fractional uncertainty refers to the quantity: Fractional uncertainty- (7.1) where r is a measured value, and o, is its measurement uncertainty. Q9: How will the fractional uncertainty in y, depend on what value of n you choose? (Consider your answer in order to obtain the best measurement of yn.) Table 7.1: Data collection for the diffraction pattern of a thin wire/hair. Measured quantities Uncertainty estimates 71 dn Yn L OL X dx (7) Measure and record the distance between the wire and the screen (L), as well as the uncertainty in L. (8) Examine your laser to determine the wavelength (A), and the uncertainty in this value. ay