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Multiple choice
A particle of energy
E
=
1.0
E = 1.0
E
=
1.0
eV meets a barrier of height
V
0
=
3.0
V_0 = 3.0
V
0
=
3.0
eV and width
a
=
1.0
a = 1.0
a
=
1.0
Å. With
ℏ
2
/
(
2
m
)
=
3.81
\hbar^2/(2m) = 3.81
ℏ
2
/
(
2
m
)
=
3.81
eV·Å
2
^2
2
,
κ
=
(
V
0
−
E
)
/
(
ℏ
2
/
2
m
)
\kappa = \sqrt{(V_0-E)/(\hbar^2/2m)}
κ
=
(
V
0
−
E
)
/
(
ℏ
2
/2
m
)
. Using the exact transmission
T
=
1
/
(
1
+
V
0
2
sinh
2
(
κ
a
)
/
(
4
E
(
V
0
−
E
)
)
)
T = 1 / (1 + V_0^2 \sinh^2(\kappa a) / (4 E (V_0 - E)))
T
=
1/
(
1
+
V
0
2
sinh
2
(
κa
)
/
(
4
E
(
V
0
−
E
)))
, what is
T
T
T
?
🔬 try it before you answer
≈ 0.412
≈ 0.176
≈ 0.294
≈ 0.588
Check answer