APhO_2016_E2_Marking_Scheme
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(Full Mark = 8) Tasks
33.0 32.5 32.0 31.5
2
-31.5 -31.0 -30.5 -30.0
3
Graph E2_1
Graph E2_2
Graphs E2_1 and E2_2 show the relationship between the intensity and |θ| for the positive (LHS) and negative (RHS) incident angles respectively. The peak numbers are also labeled for all graphs.TOTAL = 0.9 points
0.4 points
points (for both graphs)
0.1 points
units (for both graphs)
0.1 points
label (for both graphs)
0.1 points
ticks label (for both graphs) 0.2 points
both graphs)
[
above items are not shown in both graphs
4 Refer to Graphs E2_1 and E2_2.
7 Ideally, the locations of the
should be the same as for
Graph E2_3
Peak number vs. cosθaverage
The slope is 12.0 TOTAL = 0.6 points
0.3 points
points
0.1 points
units
0.1 points
label
0.1 points
ticks label
[
peak number or interference order (i.e.
The y-intercept is -5.45
Interference order vs. cosθaverage
The slope is 12.0
The y-intercept is -0.45
By plotting peak number against cos |θ|average and drawing a line through the data points, one could get the slope and the y-intercept, as shown in Graph E2_3. The same principle applies to plotting the interference order m against cos |θ|average.
(Graphical solutions for the slope and intercept will be accepted.) Note: Plotting these two graphs separately will also be acceptable as shown in Graph E2_3a and Graph E2_3b i.e.
Graph E2_3a
Graph E2_3b
9Refer to Graph E2_3
Peak number vs. cosθaverage
11Refer to Graph E2_3:
From Graph E2_3, the slope for
N/A Appendix:
Path difference calculation for an ideal air-gap etalon:
Path difference for beams 1 and 2 is equal to:
−2L sinθtanθ=2L cosθ. (4a)
AB+BC−AE=2L
cosθ
This is the path difference used in Equation (1).
It is also acceptable to calculate the path difference directly using
Equation (1), but will only be given half of the points as writing down
Eq. (4a).
A mis-alignment of angle α between the laser beam and the angular scale
corresponds to a correction of
from the angular scale. Thus the incident angle is now