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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Hello,
I need with Q11, Q12, and Q13.
Thank you!

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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