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Multiple choice
For the hydrogen 1s ground state, the probability density
∣
ψ
∣
2
|\psi|^2
∣
ψ
∣
2
is largest at
r
=
0
r = 0
r
=
0
, yet the radial distribution function
P
(
r
)
=
r
2
∣
R
(
r
)
∣
2
P(r) = r^2|R(r)|^2
P
(
r
)
=
r
2
∣
R
(
r
)
∣
2
peaks elsewhere. Where does
P
(
r
)
P(r)
P
(
r
)
peak?
At the Bohr radius
r
=
a
0
r = a_0
r
=
a
0
At
r
=
2
a
0
r = 2a_0
r
=
2
a
0
At infinity, since the exponential never lets it peak
At
r
=
0
r = 0
r
=
0
, the same place as the density
Check answer