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Q11. Find the average value of your four estimated slit diameters. If this is not roughly equal to the value specified in the experiment as the 'accepted' value of 0.1 mm, go back and check your work. Ensure that you are using consistent units for lengths. Dn-_40.286 jem. Q12. Find the error in your estimated value of Dusing the 'accepted' value of D= 0.1 mm and your Duyas the estimated value: Jestimated vatue-accepted vatue accepted value * 100% % error = Equation 3 96 error Q13. Explain the possible sources of error.

Q11. Find the average value of your four estimated slit diameters. If this is not roughly equal to the value specified in the experiment as the 'accepted' value of 0.1 mm, go back and check your work. Ensure that you are using consistent units for lengths. Dn-_40.286 jem. Q12. Find the error in your estimated value of Dusing the 'accepted' value of D= 0.1 mm and your Duyas the estimated value: Jestimated vatue-accepted vatue accepted value * 100% % error = Equation 3 96 error Q13. Explain the possible sources of error.

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I need with Q11, Q12, and Q13.

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% error = accepted value 100% • Use this homemade calibrated 'ruler' to estimate the radius (from the center of the bright green circle to the center of the dark fringe). • Enter the radius, y, estimate into Table 1, making sure to include proper wnits. • Continue measSuring the radii for dark fringe orders 2, 3, and 4. Enter them into Table 1. Try to do estimate your values within 1-2 mm accuracy. Using the data from each row in Table 1, together with Equation 1, estimate the slit diameter, D. Recall that 2 = 511 nm. Enter the values for D into the last column of Table 1. Table 1: Data table for Activity 2, using . = 511 nm. D = (511x10-°m)(1) = 36.505x10-6m= 36.505 um Dark Fringe Order Radius of Dark Fringe, y D, siit dianeter (0.013998) sin e m=1 7mm 0.006999 73.01 um Q11. Find the average value of your four estimated slit diameters. If this is not roughly equal to the value specified in the experiment as the 'accepted' value of 0.l mm, go back and check yowr work. Ensure that you are using consistent units for lengths. 0.013998 36.505 um m =2 14mm. m = 3 18mm 0.017997 28.394 um m=4 22mm 0.021994 23.234 um Duu=_40.286 pem Consider a side-view of the slit and screen as shown in Figure 11. Notice that the slit to screen distance is 1.0 m. Q12. Find the error in your estimated value of Dusing the 'accepted' value of D=0.1 mm and your Duwas the estimated value: T. Jestimated valne-accepted value * 100% Equation 3 % error = accepted vatue radius of mth order dark fringe 06 error = slit Q13. Explain the possible sources oferror. L-10 m sereen Figure 11: A side-view of the online simulation, defining the geometry used to analyze single-slit diffraction patterns Activity 3 Double Slit Interference The formula for the morder dark finge in single-slit diffraction is Now imagine sending laser light through a double slit (like a solid door with two adjacent linear cracks) as shown in Figure 12. Think of what you would expect to see on your screen now. A person who knows nothing about the wave phenomena of diffraction and interference might expect to see two bright dots in line with the slits. This would make sense when thinking of light as just straight rays that essentially shoot through the holes and strike the screen. But this is not what happens. Let us explore. m2 = Dsin6 Equation 1 Where D is the slit width. Notice that e can be found via Pythagorean's theorem from Figure 11. sine =E Equation 2 Vy + Hare, y is the radius of the m order dark fringe, as indicated at the right of Figure 11. Using Equation 2, find sin e for each of the dark fringe orders in Table 1. Enter these values into the third column of Table 1. Be sure to use consistent units for the lengths!
Transcribed Image Text:% error = accepted value 100% • Use this homemade calibrated 'ruler' to estimate the radius (from the center of the bright green circle to the center of the dark fringe). • Enter the radius, y, estimate into Table 1, making sure to include proper wnits. • Continue measSuring the radii for dark fringe orders 2, 3, and 4. Enter them into Table 1. Try to do estimate your values within 1-2 mm accuracy. Using the data from each row in Table 1, together with Equation 1, estimate the slit diameter, D. Recall that 2 = 511 nm. Enter the values for D into the last column of Table 1. Table 1: Data table for Activity 2, using . = 511 nm. D = (511x10-°m)(1) = 36.505x10-6m= 36.505 um Dark Fringe Order Radius of Dark Fringe, y D, siit dianeter (0.013998) sin e m=1 7mm 0.006999 73.01 um Q11. Find the average value of your four estimated slit diameters. If this is not roughly equal to the value specified in the experiment as the 'accepted' value of 0.l mm, go back and check yowr work. Ensure that you are using consistent units for lengths. 0.013998 36.505 um m =2 14mm. m = 3 18mm 0.017997 28.394 um m=4 22mm 0.021994 23.234 um Duu=_40.286 pem Consider a side-view of the slit and screen as shown in Figure 11. Notice that the slit to screen distance is 1.0 m. Q12. Find the error in your estimated value of Dusing the 'accepted' value of D=0.1 mm and your Duwas the estimated value: T. Jestimated valne-accepted value * 100% Equation 3 % error = accepted vatue radius of mth order dark fringe 06 error = slit Q13. Explain the possible sources oferror. L-10 m sereen Figure 11: A side-view of the online simulation, defining the geometry used to analyze single-slit diffraction patterns Activity 3 Double Slit Interference The formula for the morder dark finge in single-slit diffraction is Now imagine sending laser light through a double slit (like a solid door with two adjacent linear cracks) as shown in Figure 12. Think of what you would expect to see on your screen now. A person who knows nothing about the wave phenomena of diffraction and interference might expect to see two bright dots in line with the slits. This would make sense when thinking of light as just straight rays that essentially shoot through the holes and strike the screen. But this is not what happens. Let us explore. m2 = Dsin6 Equation 1 Where D is the slit width. Notice that e can be found via Pythagorean's theorem from Figure 11. sine =E Equation 2 Vy + Hare, y is the radius of the m order dark fringe, as indicated at the right of Figure 11. Using Equation 2, find sin e for each of the dark fringe orders in Table 1. Enter these values into the third column of Table 1. Be sure to use consistent units for the lengths!
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