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Single Slit Diffraction & Grating Worksheet

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titermightp.es
width
darkspot
brightspot
not yet
resolved
just
resolved
largestaperture
smallest wavelength
UV
µF
Igm
Ex 1
a
wsinOm
m
E
x
5
E
550 10 9m
s 5 10m sinos
33 367 CDs
33
COS
The angle of the fifth order max is 33
E x
WI ls.sk
5 E 550 10 9
b
m
0.605m
X 0.60m
X
The distance from the centre to the fifth order max
is 0.60m
EX 2
a
To the 1ˢᵗorder min
A 11 1 19 Be R
mx
1
550 10
m
0.11m
width
of
i The width
IS.SXY.fi
X
central max
2 0.11m
0.22m
of the central max
is 0.22m
b
To the 1ˢᵗ order minimum
MX
1
550
wsinOm
10 9m
151
5.5
20
5 73 9170
width of
2
central max
sn Q
5.739170
11 4783
11
1 The width of the central max
63
X
W
SSoxio.am
0.11m
i
4
is 11
Y
1
AX
The spacing between consecutive max
d
mdfyt.FI
2.588235299 15 n
is 0.11m
d sin On
my
1
530 10 9m
2 588235294 10
11.8162
CO
12
CO
dsinOm
MX
2 530 107
2.588235294 10 6m
24.17628417
CO
b SMO
s.no
24
CO mx
dsinOm
530 10
9
m
2.588235294
37.90239486
CO
38
LO
i The first three maxima
respectively
Ex6 a
Or
1
1 00 10 rad
1 9672 10 m
1 97 15 m
Ém
X
X
occur
0 6m
at 12
SMO
249 38
I
i The wavelength of the light is 1.97 10
and
its ultraviolet
sin
to
sin
1.00 10 rad
b
10000 m
1 00 X104m
i
m
HIT
If
L
L
l
One can be 1.00 10 m away to just resolle the
two objects
ask 1
67
11
is 5
0 0325008 m
5
0.033 m
The two objects must be 0.033 m apart
1
b
5
0 013105161m
0 013 M
whensinQ
d
s
47
WsinOm
1.20 10 5m sin 4.00
8 3708 10 m
MX
1 X
X
837 nm
The wavelength of light used is 837mm
48
WE
MX
1120
2 18.3708 10 m
X2
X2
8
mm
0.13951 m
0 140 m
140mm
WIL 1.20 105 X2
m
E
x
2
E
8 3708 10 m
X
1 00m
0 17439m
0.174m
174mm
The distances ofthe 2ⁿᵈ order mm and max from
the centre are 140 mm and 74 mm respectively
49 a MX
2
Wsin On
620 X 10 9m
CO
1.10 10 5m
6.4726
6.47
i The second order minimum occurs at
sin02
6.47
wsin On
b
m
E
2
E
620 10 m
x
CD
i
1.10 10 m sin02
8 1005
8.10
The second ordermaximum occurs at 8.10
50
To the 1ˢᵗ order mm
MX
wsinOm
1 400 10 m
W
w sin
6.9488 10 m
6
6.95 10 m
6.95µm
The width of the slit is 6.95pm
55
d
widthof grating
of slits
6
1 00 10 m
mx
dsinOm
1
530 10 9m
CO
1.00 101 sint
32.005
32.0
i The 1stordermaximum occurs at 32.0
57
d wfdthfgatin
EEI.tn
4.347826087 15 m
II
MX
610 10 9m
2
X
0211
95
6087
2.6657 m
2.7m
i Thedistanceto the second order maximum is 2.7m
d
58 a
Widffeating
1,24156m
MX
m
dsinOm
600 10 9m
1.2 10 6m
2
smOm
The maximum order number possible is 2
b
dsinOm
MX
m
440 10 m
1.2 10 6m
som
Effin
2
i The maximum order
99 Op
7273
possible is 2
122
1.2
H
Ad
176m
i
89.419m
V At
89.419m
At
a At
17 m s
At
o
5.09305
5.1 s
5 Is passes until the eagle sees the mice as
separate objects
T.IE
inti
at
Ad V At
Ad V At
176m
aAt
0.000m
176m 89.41877794m
17m5 A
At
At
i
iit
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