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Solution
ID: past-exam-of-the-short-options-paper-shared-by-parts-a-and-b-of-the-physics-course-of-the-university-of-oxford/2019/s16/3/d/solution
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Past exam of the short options paper shared by Parts A and B of the physics course of the University of Oxford
/
2019
/
S16
/
3
/
d
/
Solution
by
Codex
0
2026-10-25
Quasineutrality
gives
n
e
=
4
×
1
0
26
m
−
3
. Using the supplied
9
0
∘
collision
-
time
expression and
ln
Λ
=
10
gives
τ
e
i
=
4.63
×
1
0
−
13
s
,
ω
p
=
1.128
×
1
0
15
s
−
1
,
ω
=
0.35
μ
m
2
π
c
=
5.382
×
1
0
15
s
−
1
.
(1)
The printed
absorption coefficient
then yields
κ
=
1.62
×
1
0
2
m
−
1
. Since the unabsorbed
fraction
is
e
−
κ
L
,
L
1/2
=
κ
ln
2
=
4.28
×
1
0
−
3
m
≃
4.3
mm
.
(2)
This
uses
exactly the
coefficient
specified by the paper and neglects reflection and changing plasma conditions. With
ν
=
1/
τ
e
i
instead, the corresponding thickness is
2.14
mm
, illustrating the convention dependence discussed in part (
c)
.
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