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Question #124770
Electron plasma waves are propagated in a
uniform plasma with KTe = 100 ev, n=1016 m-3
and B=0. If the frequency f is 1.1 GHz, what is
the wavelength in cm?
Expert's answer
v
=
2
K
m
λ
=
v
f
=
1
f
2
K
m
λ
=
1
1.1
⋅
1
0
9
2
(
100
)
(
1.6
⋅
1
0
−
19
)
9.11
⋅
1
0
−
31
=
0.00539
m
v=\sqrt{\frac{2K}{m}}\\\lambda=\frac{v}{f}=\frac{1}{f}\sqrt{\frac{2K}{m}}\\\lambda=\frac{1}{1.1\cdot10^{9}}\sqrt{\frac{2(100)(1.6\cdot10^{-19})}{9.11\cdot10^{-31}}}=0.00539\ m
v
=
m
2
K
λ
=
f
v
=
f
1
m
2
K
λ
=
1.1
⋅
1
0
9
1
9.11
⋅
1
0
−
31
2
(
100
)
(
1.6
⋅
1
0
−
19
)
=
0.00539
m
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on Dec 2023
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