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Multiple choice
A particle of energy
E
=
2.0
E = 2.0
E
=
2.0
eV hits a rectangular barrier of height
V
0
=
4.0
V_0 = 4.0
V
0
=
4.0
eV and width
a
=
3.0
a = 3.0
a
=
3.0
Å. With
ℏ
2
/
(
2
m
)
=
3.81
\hbar^2/(2m) = 3.81
ℏ
2
/
(
2
m
)
=
3.81
eV·Å
2
^2
2
, the decay constant is
κ
=
(
V
0
−
E
)
/
(
ℏ
2
/
2
m
)
\kappa = \sqrt{(V_0-E)/(\hbar^2/2m)}
κ
=
(
V
0
−
E
)
/
(
ℏ
2
/2
m
)
. Estimate the transmission using
T
≈
exp
(
−
2
κ
a
)
T \approx \exp(-2 \kappa a)
T
≈
exp
(
−
2
κa
)
.
🔬 try it before you answer
≈ 0.0066
≈ 0.114
≈ 0.985
≈ 0.0129
Check answer