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Multiple choice
For a hydrogen orbital with
n
=
2
n = 2
n
=
2
and
l
=
1
l = 1
l
=
1
, the expectation value of the radius is
⟨
r
⟩
/
a
0
=
(
1
/
2
)
(
3
n
2
−
l
(
l
+
1
)
)
\langle r\rangle/a_0 = (1/2)(3n^2 - l(l+1))
⟨
r
⟩
/
a
0
=
(
1/2
)
(
3
n
2
−
l
(
l
+
1
))
. What is
⟨
r
⟩
\langle r\rangle
⟨
r
⟩
in units of the Bohr radius
a
0
a_0
a
0
?
5
10 (forgot the 1/2)
4 (=
n
2
n^2
n
2
)
6 (=
(
3
/
2
)
n
2
(3/2)n^2
(
3/2
)
n
2
)
Check answer