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Multiple choice
An electron is confined in a 1D infinite square well of width
L
=
1
L = 1
L
=
1
nm. The energy levels are
E
n
=
n
2
π
2
ℏ
2
/
(
2
m
L
2
)
E_n = n^2 \pi^2 \hbar^2 / (2 m L^2)
E
n
=
n
2
π
2
ℏ
2
/
(
2
m
L
2
)
. Using
ℏ
=
1.0545718
×
10
−
34
\hbar = 1.0545718\times10^{-34}
ℏ
=
1.0545718
×
1
0
−
34
J·s,
m
=
9.10938
×
10
−
31
m = 9.10938\times10^{-31}
m
=
9.10938
×
1
0
−
31
kg, and
1
1
1
eV
=
1.60218
×
10
−
19
= 1.60218\times10^{-19}
=
1.60218
×
1
0
−
19
J, what is the
n
=
3
n = 3
n
=
3
energy
E
3
E_3
E
3
in eV?
🔬 try it before you answer
1.13 eV
3.38 eV
0.376 eV
10.15 eV
Check answer