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Multiple choice
A particle on
[
0
,
1
]
[0,1]
[
0
,
1
]
has probability density
∣
ψ
(
x
)
∣
2
=
3
x
2
|\psi(x)|^2 = 3x^2
∣
ψ
(
x
)
∣
2
=
3
x
2
. The expectation of position is
⟨
x
⟩
=
∫
0
1
x
(
3
x
2
)
d
x
\langle x \rangle = \int_0^1 x(3x^2) \, dx
⟨
x
⟩
=
∫
0
1
x
(
3
x
2
)
d
x
. What is
⟨
x
⟩
\langle x \rangle
⟨
x
⟩
?
🔬 try it before you answer
3
/
4
=
0.75
3/4 = 0.75
3/4
=
0.75
1
1
/
2
=
0.5
1/2 = 0.5
1/2
=
0.5
3
/
5
=
0.6
3/5 = 0.6
3/5
=
0.6
Check answer